Make sure the exercise program is easy so that you are not challenged is NOT a suggestion for relapse prevention. The correct option is A
What is relapse prevention ?Relapse prevention is a technique used to support people in maintaining long-term behavioral change and stop them from reverting to previous unhealthy practices.
Relapse prevention can take many different forms including :
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A disk of radius 25 cm spinning at a rate of 30 rpm slows to a stop over 3 seconds. What is the angular acceleration? B. How many radians did the disk turn while stopping ? C. how many revolutions?
Answer:
A. The angular acceleration of the disk is -1.047 radians per square second.
B. The disk turns 4.715 radians while stopping.
C. The disk did 0.750 revolutions while stopping.
Explanation:
A. In this case, the disk is deceleration at a constant rate. Hence, the angular acceleration experimented by the object (\(\alpha\)), in radians per square second, can be found by means of this kinematic expression:
\(\alpha = \frac{\omega-\omega_{o}}{t}\) (1)
Where:
\(\omega_{o}\) - Initial angular speed, in radians per second.
\(\omega\) - Final angular speed, in radians per second.
\(t\) - Time, in seconds.
If we know that \(\omega_{o} \approx 3.142\,\frac{rad}{s}\), \(\omega = 0\,\frac{rad}{s}\) and \(t = 3\,s\), then the angular acceleration of the disk is:
\(\alpha = \frac{\omega-\omega_{o}}{t}\)
\(\alpha = -1.047\,\frac{rad}{s^{2}}\)
The angular acceleration of the disk is -1.047 radians per square second.
B. The change in position of the disk (\(\Delta \theta\)), in radians, is determined by the following kinematic formula:
\(\Delta \theta = \frac{\omega^{2}-\omega_{o}^{2}}{2\cdot \alpha}\) (2)
If we know that \(\omega_{o} \approx 3.142\,\frac{rad}{s}\), \(\omega = 0\,\frac{rad}{s}\) and \(\alpha = -1.047\,\frac{rad}{s^{2}}\), then the change in position is:
\(\Delta \theta = \frac{\omega^{2}-\omega_{o}^{2}}{2\cdot \alpha}\)
\(\Delta \theta = 4.715\,rad\)
The disk turns 4.715 radians while stopping.
C. A revolution equals 2π radians, then, then number of revolutions done by the disk while stopping is found by simple rule of three:
\(\Delta \theta = 4.715\,rad \times \frac{1\,rev}{2\pi\, rad}\)
\(\Delta \theta = 0.750\,rev\)
The disk did 0.750 revolutions while stopping.
A continental polar air mass forms in
a. the Pacific Ocean.
b. northern Canada.
c.
the Gulf of Mexico.
the desert Southwest.
d.
Please select the best answer from the choices provided
А
B
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Answer:
B. Northern Canada
Explanation:
A continental polar air mass can form over the land during the winter months. In the Northern Hemisphere, it originates in northern Canada or Alaska. As it moves southward, it brings dry weather conditions to the United States. Temperature and humidity levels are both low. Hope this helps :)
Particles q₁ +8.0 μC, q2 +3.5 μC, and
93-2.5 μC are in a line. Particles q₁ and q2 are
separated by 0.10 m and particles q2 and q3 are
separated by 0.15 m. What is the net force on
particle q₂?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
+8.0μ.C
+91
0.10 m
+3.5 C
+92
0.15 m
-2.5μ C
93
The net force on particle q₂, located between particles q₁ and q₃, is approximately 189000 N. The force exerted by particle q₁ on q₂ is positive and equals 252000 N, while the force exerted by particle q₃ on q₂ is negative and equals -63000 N.
To find the net force on particle q₂, we need to calculate the individual forces exerted on q₂ by particles q₁ and q₃ and then determine their sum.
The force between two charged particles can be calculated using Coulomb's law:
F = k * |q₁ * q₂| / r²
Where F is the force between the particles, k is the electrostatic constant (k ≈ 9.0 x \(10^9\) Nm²/C²), q₁ and q₂ are the charges of the particles, and r is the distance between them.
First, let's calculate the force exerted on q₂ by q₁:
F₁₂ = k * |q₁ * q₂| / r₁₂²
F₁₂ = (9.0 x \(10^9\) Nm²/C²) * |(8.0 μC) * (3.5 μC)| / (0.10 m)²
F₁₂ ≈ 252000 N
The force is positive because q₁ and q₂ have opposite charges.
Next, let's calculate the force exerted on q₂ by q₃:
F₂₃ = k * |q₂ * q₃| / r₂₃²
F₂₃ = (9.0 x \(10^9\)Nm²/C²) * |(3.5 μC) * (-2.5 μC)| / (0.15 m)²
F₂₃ ≈ -63000 N
The force is negative because q₂ and q₃ have the same charge.
Finally, we can find the net force on q₂ by summing the individual forces:
Net force = F₁₂ + F₂₃
Net force = 252000 N + (-63000 N)
Net force ≈ 189000 N
The net force on particle q₂ is approximately 189000 N.
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Which direction do longitudinal waves travel?
Answer:
If the particles of the medium vibrate in a direction parallel to the direction of propagation of the wave, it is called a longitudinal wave. In longitudinal waves, the particle movement is parallel to the direction of wave propagation.
Explanation:
what are the greenhouse gasses in the earth that are primarily responsible for the greenhouse effect on Earth
Answer:
Water Vapour, Carbon dioxide, methane,nitrous oxide,ozone.
Peak wavelength of light coming from a star with a temp of 4300k
from Wein's law
\( \frac{k}{ \lambda_{max} } = T \\ \lambda_{max} = \frac{k}{T} \\ \lambda_{max} = \frac{3.898 \times {10}^{ - 3} }{4300} \\ = 9.065 \times {10}^{ - 7} \)
The peak wavelength of light coming from a star with a temperature of 4300 K is approximately 6.74 x \(10^-7\) meters or 674 nanometers.
To determine the peak wavelength of light emitted by a star with a temperature of 4300 K, we can use Wien's displacement law.
Wien's displacement law states that the wavelength at which the intensity of radiation emitted by a black body is maximum (peak wavelength) is inversely proportional to the temperature of the object. The equation is given as:
λmax = b / T
Where:
λmax is the peak wavelength,
b is Wien's displacement constant (approximately 2.898 x \(10^-3\) m·K),
T is the temperature of the object in Kelvin.
Let's substitute the given temperature into the formula:
λmax = (2.898 x \(10^-3\) m·K) / 4300 K
Calculating this expression:
λmax ≈ 6.74 x \(10^-7\) m
Therefore, the peak wavelength of light coming from a star with a temperature of 4300 K is approximately 6.74 x \(10^-7\) meters or 674 nanometers.
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explain why the insulting layer of fleece is good at reducing the rate of energy transfr
The insulating layer of fleece is effective at reducing the rate of energy transfer due to its unique properties and structure. Fleece is made of synthetic fibers or natural fibers such as wool, which have excellent insulating properties.
One key factor is the structure of fleece. Fleece fabric consists of many small air pockets trapped within the fibers. Air is a poor conductor of heat, so these air pockets act as a barrier to prevent the transfer of thermal energy. The trapped air creates a layer of insulation that helps to slow down the transfer of heat between the body and the environment.
Furthermore, fleece has a high loft, meaning it is thick and fluffy. The loft creates additional air space and increases the insulation capacity. The thickness of the fleece allows for more air to be trapped, providing a thicker barrier for heat transfer. The fibers themselves also have natural crimps and curls, which further enhance the insulation by creating more air pockets.
Additionally, fleece is hydrophobic, meaning it repels moisture. Moisture has a higher thermal conductivity than air, so by repelling moisture, fleece maintains its insulating properties even in damp conditions. This is particularly advantageous in outdoor activities or during physical exertion when the body may produce sweat.
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The parallel plates in a capacitor, with a plate area of 9.30 cm2 and an air-filled separation of 4.50 mm, are charged by a 7.80 V battery. They are then disconnected from the battery and pulled apart (without discharge) to a separation of 9.60 mm. Neglecting fringing, find (a) the potential difference between the plates, (b) the initial stored energy, (c) the final stored energy, and (d) the work required to separate the plates.
Answer:
a) ΔV ’= 1.66 10¹ V= 16.6 V, b) U = 55.64 10⁻¹² J, c) U_f = 1.18 10⁻¹⁰ J
d) W = 6.236 10⁻¹¹ J
Explanation:
Capacitance can be found for a parallel plate capacitor
C = ε₀ \(\frac{A}{d}\)
Let's reduce the magnitudes to the SI system
A = 9.30 cm² (1 m / 10² cm) 2 = 9.30 10⁻⁴ m²
c = 4.50 mm (1 m / 1000 mm) = 4.50 10⁻³ m
Co = 8.85 10⁻¹² 9.30 10⁻⁴ /4.50 10⁻³
Co = 1.829 10⁻¹² F
when the plates separate at d = 9.60 10⁻³ m, the capcitance changes to
C = ε₀ \frac{A}{d_1}
C = 8.85 10⁻¹² 9.30 10⁻⁴/9.60 10⁻³
C = 8.57 10⁻¹³ F
a) the potential difference
C =
since the capacitor is not discharged, let's look for the initial charge
Co = \frac{Q}{ \Delta V}
Q = C₀ ΔV
Q = 1.829 10⁻¹² 7.80
Q = 14.2662 10⁻¹² C
when the condensate plates are separated
C = \frac{Q}{ \Delta V' }
ΔV ’= Q / C
ΔV ’= 14.266 10⁻¹² / 8.57 10⁻¹³
ΔV ’= 1.66 10¹ V= 16.6 V
b) the stored energy is
U = ½ C ΔV²
for initial separation
U = ½ C₀ ΔV²
U = ½ 1.829 10⁻¹² 7.80²
U = 55.64 10⁻¹² J
c) The energy for end separation;
U_f = ½ C DV’2
U_f = ½ 8.57 10⁻¹³ 16,6²2
U_f = 1.18 10⁻¹⁰ J
d) The work
as there are no losses, the work is equal to the variation of the energy
W = ΔU = U_f -U₀
W = 1.18 10⁻¹⁰ - 55.64 10-12
W = 6.236 10⁻¹¹ J
Which correctly describes latent heat?
A. The heat of molecules that are under pressure
B. The heat held inside of ice crystals colder than -2°C
C. The heat absorbed or lost by a substance while it's changing state
D. The heat used to change the temperature of a liquid
Option C. The heat absorbed or lost by a substance while it's changing state correctly describes latent heat
Latent heat is the heat absorbed or lost by a substance while it is changing state.
The latent heat is a type of heat that is transferred during phase change, i.e., while a substance undergoes a change of state.
For example, when ice melts into liquid water, or when liquid water evaporates into water vapor, heat is absorbed from the surroundings.
Latent heat is not associated with a temperature change; rather, it's associated with a change of state.
For instance, the temperature of water remains at 100°C while boiling.
When water is boiling, the latent heat of vaporization is absorbed and utilized to break the hydrogen bonds holding water molecules together to change water from the liquid phase to the gaseous phase.
When the water is boiling, adding more heat won't increase the water's temperature, instead, the extra heat will be absorbed to change the phase of water molecules.
Therefore, the correct answer to the given question is option C: The heat absorbed or lost by a substance while it is changing state.
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4. A 40.0 kg child swings in a swing supported by two chains, each 3.00 m long. If the tension in each at the lowest point is 350N, find (i) The child’s speed at the lowest point ,
The child's speed at the lowest point is 5.42 m/s.
At the highest point of the swing, the child is momentarily at rest and has only potential energy. At the lowest point, the child has only kinetic energy.
Using the conservation of mechanical energy, we can write:
Potential energy at highest point = Kinetic energy at lowest point
mgh = (1/2)mv²
where m is the mass of the child, g is the acceleration due to gravity, h is the height of the swing at the highest point, and v is the speed of the child at the lowest point.
First, we need to find the height of the swing at the highest point. Since the swing is supported by two chains, the height of the swing at the highest point is half the length of the chains:
h = (1/2)3.00 m = 1.50 m
Next, we can solve for the child's speed at the lowest point:
mgh = (1/2)mv²
40.0 kg * 9.81 m/s² * 1.50 m = (1/2) * 40.0 kg * v²
588 J = 20.0 kg * v²
v² = 29.4 m²/s²
v = 5.42 m/s
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The peak of the extinct volcano Volcán Chimborazo in Ecuador is the farthest point on Earth from Earth's center. This is because Earth bulges outward due to its rotation, and this bulge is greatest at the Equator, which is only about 100 km north of Chimborazo. Volcán Chimborazo's summit is 6,267 m above sea level. If a mountain climber with a mass of 85 kg (climbing equipment included reaches the mountain's peak, what is the gravitational potential energy associated with the climber with respect to sea level?
The gravitational potential enegy associated with the climber is 5.22x10⁶ J.
Given data:
The mass of mountain climber is m=85 kg.
The summit of volcano is h=6267 m.
The expression for the gravitaional potential energy is given by,
\(\text{GPE}=\text{mgh}\)Here, g is the gravitational acceleration whose values is 9.81 m/s².
Substitute the given values in above expression,
\(\begin{gathered} \text{GPE}=(85)(9.81)(6267) \\ \text{GPE}=5.22\times10^6\text{ J} \end{gathered}\)Thus, the gravitational potential enegy associated with the climber is 5.22x10⁶ J.
Which is most likely the reason parents and their children have similar physical traits? Responses They live in the same home. They have similar genetic structures. They are born in similar environments. They have similar blood types.
The most likely reason parents and their children have similar physical traits is that (b) they have similar genetic structures.
Physical traits are largely determined by genes, which are segments of DNA passed down from parents to their offspring. Genetic information contains instructions for the development of various physical characteristics, such as eye color, height, and facial features. Therefore, children inherit genetic variations from their parents that contribute to the similarities in their physical traits.
Genes are responsible for the transmission of hereditary traits, and variations in these genes can result in different physical appearances. Children receive half of their genetic material from their biological mother and the other half from their biological father, leading to a combination of genetic traits from both parents. This genetic inheritance process explains why children often share physical characteristics with their parents, such as hair color or body structure.
While living in the same home and being born in similar environments can influence certain aspects of physical traits, such as lifestyle choices or exposure to certain factors, these factors do not have as direct and significant an impact as genetic inheritance. They may contribute to some environmental influences, but genetic factors are the primary drivers of physical trait similarities between parents and their children.
The similarity in blood types between parents and children is a result of genetic inheritance as well. Blood type is determined by specific genes, and children inherit their blood type alleles from their parents. However, blood type alone does not account for the full range of physical traits shared between parents and children, as it is just one characteristic among many that are determined by genetics.
In summary, while living in the same home and being born in similar environments can have some influence, the primary reason parents and their children have similar physical traits is due to their shared genetic structures. Genetic inheritance is the key factor that determines the passing down of physical characteristics from one generation to the next.
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Show that time period of revolution an electron beam in uniform magnetic field is independent of velocity and radius of path
Since T = 2πm/Be the period of revolution of the electron is independent of velocity and radius of path
How to show that time period of revolution an electron beam in uniform magnetic field is independent of velocity and radius of path?For an electron moving in a uniform magnetic field, the force on the electron is given by
F = Bev where
B = magnetic field, e = electron charge and v = speed of electronAlso, this magnetic force equals the centripetal force on the electron, F'
F' = mv²/r where
m = mass of electron, v = speed of electron and r = radius of pathSince both forces are equal,
F = F'
Bev = mv²/r
Be = mv/r
We know that angular speed, ω = v/r. So,
Be = mω
Also, angular speed, ω = 2π/T where T = period of revolution of electron
So, Be = m2π/T
Making T subject of the formula, we have
T = 2πm/Be
so, since T = 2πm/Be the period of revolution of the electron is independent of velocity and radius of path
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The speed of a train increases from 100 km/hr to 250 km/hr in 5 minutes. What is its acceleration?
Answer:30 km/hr2 is the exal
Explanation:
A spring is used as part of a lift system and follows Hooke's law. If the spring is
displaced 85 cm when the force acting on it is 12500 N what is the displacement
when the force increases to 15500 N?
Answer:
1.05m or 105cm
Explanation:
Using the hooke's law equation as follows;
F = –k.x
Where;
F = force (N)
x = extension length (m)
k = constant of proportionality (N/m)
According to the information given in this question;
Displacement (x) = 85cm = 85/100 = 0.85m
Force = 12500N
Using F = kx, we find the proportionality constant
k = F/x
K = 12500/0.85
K = 14705.8N/m.
Also, since K = 14705.8N/m, the displacement (x), when the force increases to 15500N is;
F = kx
x = F/k
x = 15500/14705.8
x = 1.05m or 105cm
An electron and a positron collide head on, annihilate, and create two 0.804 MeV photons traveling in opposite directions. What was the initial kinetic energy of an electron? What was the initial kinetic energy of a positron?
Answer:
Ke- = Ke+ = 0.294MeV
Explanation:
To fins the kinetic energy of both electron and positron you use the following formula, for the case of annihilation of one electron an positron:
2\(E_p=2E_o+K_{e^-}+K_{e^+}\) (1)
Ep: photon energy = 0.804MeV
Eo: rest energy of one electron (and positron) = 0.51MeV
Ke-: kinetic energy of electron
Ke+: kinetic energy of positron
You replace the values of Ep and Eo in the equation (1):
\(K_{e^-}+K_{e^+}=2E_p-2E_o=2(0.804MeV-0.51MeV)=0.588MeV\)
Iy you assume both positron and electron have the same speed, then, the kinetic energy of them are equal, and the kinetic energy of each one is:
\(K_{e^-}=K_{e^+}=\frac{0.588MeV}{2}=0.294MeV\)
when a constant force is applied to an object the acceleration of the object varies inversely with its mass. when a certain constant force acts upon an object with mass 4kg, the acceleration of the object is 17m/s^2. when the same force acts upon another object, its acceleration is 2m/s^2. what is the mass of this object?
The mass of the the object, given that the same force acted upon it to accelerate at 2 m/s² is 34 Kg
How to determine the mass of the objectFirst, we shall determine the force. This can be obtained as follow:
Mass (a) = 4 KgAcceleration (a) = 17 m/s²Force (F) =?Force (F) = mass (m) × acceleration (a)
Force = 4 × 17
Force = 68 N
Finally, we shall determine the mass of the object that will accelerate at 2 m/s² when the force of 68 N is applied to it. Details below:
Acceleration (a) = 2 m/s²Force (F) = 68 NMass (m) = ?Force = mass × acceleration
68 = mass × 2
Divide both sides by 2
Mass = 68 / 2
Mass = 34 Kg
Thus, from the above calculation, we can conclude that the mass is 34 Kg
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PLEASE HELP!!
What did Michael Faraday Discover?
A. The unit for measuring electric currents
B. Gravity
C. Electricity
D. Electric current can create magnetic field
Answer:
D
Explanation:
Michael Faraday is probably best known for his discovery of electromagnetic induction, his contributions to electrical engineering and electrochemistry or due to the fact that he was responsible for introducing the concept of field in physics to describe electromagnetic interaction.
Electromagnetic or magnetic induction is the production of an electromotive force across an electrical conductor in a changing magnetic field.
Electrical engineering is an engineering discipline concerned with the study, design and application of equipment, devices and systems which use electricity, electronics, and electromagnetism.
Electrochemistry is the branch of physical chemistry that studies the relationship between electricity, as a measurable and quantitative phenomenon, and identifiable chemical change, with either electricity considered an outcome of a particular chemical change or vice versa.
4. A plane accelerates down a runway due to the constant resultant force of
2.7 x 10^6 N. Assume air resistance acting on the plane is a constant
6.8 x 10^4 N, and friction between the wheels and the runway is a constant
8.5 x 10^5 N. If the plane travels 1.4 km down the runway before taking off,
calculate how much work the engines do on the plane to get it up to speed.
Answer:
See below
Explanation:
Net force acting on the plane after overcoming frictional forces is
2.7 x 10^6 - 6.8 x 10^4 - 8.5 x 10^5 = 1 782 000 N
Work = F x d
= 1 782 000 x 1400 m = 2.5 x 10^9 J or 2.5 x 10^6 kJ
answer the questions shown in the Fig below.
The change in internal energy, ΔE(AB) is 7.14 kJ.
Since, the ideal gas goes through a cycle of processes, the total change in internal energy will be zero.
ΔE = ΔE(AB) + ΔE(BC) + ΔE(CD) + ΔE(DA) = 0
So,
ΔE(AB) = -ΔE(BC) - ΔE(CD) - ΔE(DA)
We know that the process CD s an isothermal process.
So, the change in internal energy, ΔE(CD) = 0
According to the first law of thermodynamics,
ΔE = Q + W
Therefore, the change in internal energy,
ΔE(AB) = -[Q(BC) + W(BC)] - [Q(DA) + W(DA)]
ΔE(AB) = -[Q(BC) + P(B)ΔV(BC)] - [Q(DA) - P(D)ΔV(DA)]
ΔE(AB) = -(100 + 0.31 x3) - (-150 - 1 x -1)
ΔE(AB) = -100 - 0.93 + 150 + 1
ΔE(AB) = 50 + (0.07 x 1.013 x 10⁵)
ΔE(AB) = 50 + 7091
ΔE(AB) = 7.14 kJ
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what is the normal force on a 2000N refrigerator resting on the ground
The perpendicular force that a surface applies to an item is known as the normal force. FN = m ⋅ g
What is Normal force?The perpendicular force that a surface applies to an item is known as the normal force. For instance, if you place a book on a table, a gravitational force will cause it to fall. The table pulls on the book in order to counterbalance this force and keep it from dropping. The normal force, often known as the opposing force, is denoted by the symbols FN F N or NN. "N" stands for the normal force unit (Newton).
A common illustration of Newton's third rule of motion is the normal force.
When one object applies force to another, the other applies a force in the opposite direction and of equal magnitude to the first object (action equals reaction).
Therefore, the force applied by the item to the surface is equal to the normal force. The calculations change according to the surface's slope.
The formula is as follows for an object laying on a flat surface:
FN = m ⋅ g
where
The mass of an object is m.
Gravitational acceleration is denoted by g.
The normal force (FN F N ) for an item on a flat surface is equal to its gravitational force, according to Newton's third law ( WW).
The formula is as follows for an object laying on a flat surface:
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The force between a pair of charges is 900 newtons. The distance between the charges is 0.01 meters. If one of the charges is 2e-10 C what is the strength of the other charge ?
Answer:
\( \fbox{strength \: of \: the \: other \: charge = - 0.0196 Ke \: Coulomb}\)
Explanation:
Given:
Force between pair of charges= 900 newtons
The distance between the charges = 0.01 meters
Strength of Charge first q1 = 2e-10 Coulomb
To find:
Strength of Charge second q2 = ____ Coulomb?
Solution:
We know that,
Force between two charges separate by distance r is given by the equation,
\(|F| = K_e \frac{q1 \cdot \: q2}{ {r}^{2} } \\ 900 =K_e \frac{(2e - 10)\cdot \: q2}{ {0.01}^{2} } \\ 900 \times {10}^{ - 4} = K_e {(2e - 10)\cdot \: q2} \\ q2 = \frac{9 \times {10}^{ - 2} }{(2e - 10) K_e} \\ \\ \fbox{We \: know \: that \: e = 2.71 } \\ substituting \: the \: value \: \\ q2 = \frac{9 \times {10}^{ - 2} }{(2 \times 2.71 - 10)K_e} \\ q2 = \frac{0.09}{ - 4.58 K_e} \\ q2 = \frac{-0.0196}{K_e}\: coulomb\)
\( \fbox{strength \: of \: the \: other \: charge = - 0.0196 Ke \: Coulomb}\)
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In the video, forces acting on the car that are parallel to the direction of motion are analyzed. How a forces related? ANSWER a. he forces are unequal in size, act in opposite directions, and produce a net orce in the direction of motion. b. The forces are equal in size, act in opposite directions, and produce a zero net force
c. Theforces are unequal in size, act in the same direction and produce a net force in the direction of motion. d. The forces are equal in size, act in the same direction, and produce a net force in the direction df motion. e. The forces are equal in size, act in opposite directions, and produce a net force in the direction of motion.
The forces are unequal in size, act in opposite directions, and produce a net force in the direction of motion. Option d is correct answer.
When multiple forces act on an object in same direction, net force can be found by adding up individual forces.
If the forces are equal in size but opposite in direction, they produce a zero net force, resulting in no acceleration. However, if forces are unequal in size and opposite in direction, they produce a net force in the direction of the larger force, resulting in an acceleration. Therefore, the correct answer is (d) the forces are unequal in size, act in opposite directions, and produce a net force in the direction of motion.
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--The complete question is, In the video, forces acting on the car that are parallel to the direction of motion are analyzed. How are these forces related?
a. The forces are equal in size, act in the same direction, and produce a net force in the direction of motion.
b. The forces are equal in size, act in opposite directions, and produce a zero net force.
c. The forces are unequal in size, act in the same direction, and produce a net force in the direction of motion.
d. The forces are unequal in size, act in opposite directions, and produce a net force in the direction of motion.
e. The forces are equal in size, act in opposite directions, and produce a net force in the direction of motion.--
An 88.0 kg sprinter starts a race with an acceleration of 1.60 m/s2. What is the net external force (in N) on him
Answer:
The correct answer is "140.8 N".
Explanation:
Given:
Mass,
m = 88 kg
Acceleration,
a = 1.60 m/s²
Now,
The net external force for him will be:
⇒ \(F_{ext}=Mass\times Acceleration\)
By putting the values, we get
\(=88\times 1.60\)
\(=140.8 \ N\)
Does time of flight depend on initial speed?
10. IB challenge question: Two masses hang from a pulley as shown. Calculate the acceleration of the smaller mass. Use 10 for acceleration due to gravity instead of 9.81. (Hint: look at each mass separately, and create a system of equations) I 1kg 3kg
The acceleration on the block of mass 1 kg will be equal to the acceleration due to gravity that is 9.81 m/s².
What is Acceleration?
Acceleration of an object is the rate of change of the velocity of the object with respect to time.
As the string and pulley system is ideal so the tension will be constant throughout the string and thus both of the blocks will move with the same acceleration, suppose the tension is T and the common acceleration is a
Then, 3kg being heavier weight will move downward.
The tension always act towards a direction away from the block.
The net downward force on 3kg block will be (3g − T)
So, the equation of Force will be F = ma or (3g − T)= 3a ...(1)
Similarly, the net upward force on 1kg block will be (T − 1g)
So, the equation of Force will be F = ma or (T − 1g) = 1a ...(2)
By adding both these equations 1 and 2.
We get,
2g = 2a
a = g
Therefore, acceleration on the block of 1 kg will be equal to the acceleration due to gravity that is 9.81m/s².
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A ball is launched from the surface of a planet. Air resistance and other frictional forces are neglected. The graph shows the position of the ball every 0.20 s.
a. Use this graph to determine:
I. The components of the initial velocity of the ball
II. The angle to the horizontal the ball was launched at
III. The acceleration of free fall on this planet.
b. Make a copy of the graph and draw two arrows to represent the velocity and the acceleration vectors of the ball at t = 1.0 s.
c. The ball is now launched under identical conditions from the surface of a different planet where the acceleration due to gravity is twice as large. Draw the path of the ball on your graph.
The angle to the horizontal the ball was launched at can be determined using trigonometry. Once you have the initial horizontal and vertical velocities, you can use the tangent function to calculate the launch angle.
What are the velocities ?Velocity is a physical quantity that describes the rate at which an object changes its position. It is a vector quantity, which means it has both magnitude and direction. The magnitude of velocity is the speed of the object, while its direction is the direction of motion.
What is time ?Time is a concept that refers to the sequence of events that occur in a continuous progression, from the past, through the present, and into the future. It is a way to measure the duration or the length of events or periods, and it is a fundamental aspect of our experience and understanding of the world.
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Shawn and his bike have a total mass of 49.9 kg. Shawn rides his bike 0.92 km in 15.4 min at a constant velocity. The acceleration of gravity is 9.8 m/s 2 . What is Shawn’s kinetic energy? Answer in units of J.
Answer:
0 J
Explanation:
KE = .5(m)(v2-v1)
if velocity is constant v2 = v1, then v2 - v1 = 0
therefore if (v2-v1) = 0, then KE must also be equal to 0
Describe the differences between a HALL effect sensor and a permanent magnet sensor. Which one is more accurate?
The difference is that Hall effect sensor detects the strength of a magnetic field perpendicular to it, while a permanent magnetic sensor detects the angle of a parallel magnetic field.
The permanent magnetic sensor tends to be more accurate as it has a bigger detectable area that has detects layout error.
What is a magnet?
A magnet is any material that produces a magnetic field. A magnet has north and south poles at opposite ends.
The difference between a hall effect magnet and a permanent magnet sensor is that hall effect detects magnetics fields perpendicular to it while a permanent magnet detects magnetic fields parallel to it.
In conclusion, the permanent magnet is more accurate as it has a wider detectable area.
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An object is observed to fall from a bridge, striking the water below with a velocity of 187.82 m/s. The height of the bridge in meters is:
The height of the bridge is 1796.895 m if an object falls from the bridge and strike the water below with a velocity of 187.82 m/sec.
Velocity of the object, v = 187.80 m/s
Height of the bridge will be
According to the three equations of motion,
1) First equation Velocity - Time relation states that,
\(v = u + at\)
here 'a' will be the acceleration due to gravity i.e g = 9.8 \(\frac{m}{secx^{2} }\)
'v' = 187.80 m/s
'u' = 0 m/s
therefore,
\(t = \frac{v - u}{a}\)
\(t = \frac{187.80 - 0}{9.81}\)
t = 19.14 sec
2) Second equation Position - Time relation states that,
\(s = ut + \frac{1}{2} at^{2}\)
here 'a' will be the acceleration due to gravity i.e g = 9.8 \(\frac{m}{secx^{2} }\)
'u' = 0 m/s
't' = 19.14 sec
\(s = 0 + \frac{1}{2} 9.81 *(19.14^{2})\)
s = 0 + 4.905 * 366.34
s = 1796.895 m
The height of the the bridge is 1796.895 m.
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