The vehicle travels at a speed of Vs = 68.6 m/s.
Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
Calculation:
Varying frequency of the siren = 564 Hz to 376 Hz
speed of sound = 343 m/s
speed of truck calculation
using equation of Doppler'sWhen the truck is approaching
Fs = F₀(v - vs)/v......(i)
Doppler's equation when truck is moving away
Fs = F₁(v + vs)/v ......(ii)
equating both the equation
Fs = F₀(v - vs)/v = Fs = F₁(v + vs)/v
on simplifying the above equation we get
Vs = v(F₀ - F₁)/F₀ + F₁)
F₀ = 564Hz
F₁ = 376 Hz
now,
Vs = 343 ₓ (564 - 376)/(564 + 376)
Vs = 68.6 m/s
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Please answer correctly
No trolling or links, please
Answer: Wave a the first answer is right
Brainliest.
Explanation:
Four round objects of equal mass and radius roll without slipping along a horizontal surface that then bends upward and backward into an arc of half a circle. The objects all have the same linear speed initially. The objects are a hollow cylinder, a solid cylinder, a solid sphere, and a hollow sphere. The objects to go up the arc and exit the are going in the opposite direction they entered without falling off the arc. Now, several trials are run for each object. For each trial, the initial speed of the object is reduced until the object does not make it through the full arc. The speed needed for each object to just make it through the arc is recorded. Which of the following correctly lists the objects in order from fastest to slowest speed needed to make it through the arc?
A. Hollow cylinder, hollow sphere, solid cylinder, solid sphere
B. Hollow cylinder, solid sphere, solid cylinder, hollow sphere
C. Solid sphere, solid cylinder, hollow sphere, hollow cylinder
D. Solid sphere, hollow sphere, solid cylinder, hollow cylinder
E. Hollow sphere, solid cylinder, hollow cylinder, solid sphere
Answer:
A
Explanation:
inertia Equation for All Object is k m R²
inertia Equation of Hollow Cylinder I = m R²
inertia Equation of Solid Cylinder I = ½ m R²
inertia Equation of Hollow Sphere I = ⅔ m R²
inertia Equation of Solid Sphere I = 2/5 m R²
to find the speed needed we can use Mechanical Energy (ME). or Total Energy.
ME = Translation Kinetic Energy + Rotation Kinetic Energi
ME = ½ m v² + ½ I w²
ME = ½ m v² (1 + k)
v² = 2ME / m(1+k)
sinnce all objects have the same mass, we can figure that v² is proportionally with 1/(1+k)
v²(hc) = 1/(1+1) = ½ = 0.5
v = 0.707
v²(sc) = 1/(1+½) = 2/3 = 0.67
v = 0.818
v²(hs) = 1/(1+⅔) = 3/5 = 0.6
v = 0.744
v²(ss) = 1/(1+²/5) = 5/7 = 0.71
v = 0.842
these is the ratio of speed they produce in the end of the arc with initial speed = 0 m/s
so, if we must give speed to the object so that it can reach the end of the arc, the fastest speed is given to hollow cylinder and the slowest speed is given to Solid Sphere
Then the answer is
HC, HS, SC, SS
Solid sphere, solid cylinder, hollow sphere, hollow cylinder correctly lists the objects in order from fastest to slowest speed needed to make it through the arc.
What is inertia?A body's inertia is a characteristic that makes it resist attempts to move it or, if it is already moving, to change the speed or direction of it.
Mathematically:
inertia All Object is = k m R²
inertia of Hollow Cylinder I₁ = m R²
inertia of Solid Cylinder I₂ = ½ m R²
inertia of Hollow Sphere I₃ = ⅔ m R²
inertia of Solid Sphere I₄ = 2/5 m R²
Total kinetic energy of a body while it roll without slipping = Translation Kinetic Energy + Rotation Kinetic Energi
= ½ m v² + ½ I w²
= ½ m v² (1 + k)
= 2 KE / m(1+k)
Since all objects have the same mass and, v² can be expressed as proportionally with 1/(1+k).
For hollow cylinder: v₁² = 1/(1+1) = ½ = 0.5
v₁ = 0.707
For solid cylinder: v₂²= 1/(1+½) = 2/3 = 0.67
v₂ = 0.818
For hollow sphere: v₃² = 1/(1+⅔) = 3/5 = 0.6
v₃ = 0.744
For solid sphere: v₄² = 1/(1+²/5) = 5/7 = 0.71
v ₄= 0.842
The objects in order from fastest to slowest speed needed to make it through the arc are correctly listed as:
solid sphere > solid cylinder > hollow sphere > hollow cylinder.
Option (C) is correct.
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Which legal measure allowed whites in southern states to keep blacks from voting after reconstruction ended?.
Jim Crow laws was the legal measure which allowed whites in southern states to keep blacks from voting after reconstruction ended.
What was JIm Crow law?These were the state and local laws which enforced racial segregation in the Southern part of the United States.
Due to this laws, whites in southern states kept blacks from voting after reconstruction ended.
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ASAP
A spring is stretched downward by a certain length and, as a result, exerts a
force in the upward direction. What happens to the force exerted by the
spring if the length by which it is stretched is reduced by half?
O A. The force exerted by the spring is reduced by half.
B. The force exerted by the spring is doubled.
O C. The force exerted by the spring reduced by one quarter.
O D. The force exerted by the spring remains unchanged.
Answer:
A
Explanation:
Hooke's law! F(spring)=-kx
There's no tricky square law here. The spring constant doesn't change, only x (distance stretched) changes. Therefore, if distance is halved, Force will be halved.
With low-frequency stimulation, the muscle relaxes fully between contractions, resulting in ____________ twitches per stimulus.
With low-frequency stimulation, the muscle relaxes fully between contractions, resulting in identical twitches twitches per stimulus.
Alpha motor neurons are the motor neurons that innervate the fibers of the skeletal muscle. A number of branches, each innervating a different muscle fiber, are formed as the alpha motor neuron enters the muscle. A motor unit is made up of one alpha motor neuron and all of the muscle fibers it innervates. Small motor units with 3-5 muscle fibers per motor neuron are found in muscles that are involved in delicate, coordinated control. Our hand and eye muscles, as well as those that control eye movement, have very small motor units.
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A rocket weighing 560,000 N is taking off from Earth with a total thrust of
700,000 N at an angle of 20 degrees, as shown in the image below. What is
the approximate vertical component of the net force that is moving the rocket
away from Earth?
A. 76,000 N
B. 112,000 N
C. 132,000 N
D. 98,000 N
Answer:
D
Explanation:
LA FUERZA NETA ES LA FUERZA TOTAL DE EMPUJE MENOS EL PESO DEL
COHETE.
\(F_{y}\) = 700000 N(sen 90° - 20°) - 560000 N = 97785 N
The approximate vertical component of the net force that is propelling the rocket away from Earth is 112,000 N. Option B is correct.
The net force acting on the rocket is the sum of the thrust force and the weight of the rocket. The thrust force is pointing upwards at an angle of 20 degrees, and the weight of the rocket is pointing downwards. The thrust force is the force that is generated by the rocket engine. It is the force that propels the rocket upwards.
The weight of the rocket is the force of gravity acting on the rocket. It is the force that pulls the rocket downwards. The net force acting on the rocket is the sum of the thrust force and the weight of the rocket. If the net force is positive, the rocket will accelerate upwards. If the net force is negative, the rocket will accelerate downwards. If the net force is zero, the rocket will remain at rest.
net force = thrust force + weight
vertical component of net force = thrust force * cos(angle)
vertical component of net force = 700,000 N * cos(20 degrees) = 112,000 N. Option B is correct.
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Max and his friend want to ride in the front car of a roller coaster. What happens to the car's kinetic energy as the roller coaster car is pulled to the top of the first big hill?
A.
Its kinetic energy is released into the air at the top of the hill.
B.
Its kinetic energy is added to the potential energy to give it twice as much speed.
C.
Its kinetic energy is converted to potential energy at the very top of the hill.
D.
Its kinetic energy is transferred to the wheels so it can roll quickly down the hill.
Answer:
KE =1/2mv^2
Explanation:
KE depends upon movement of the body
An object with a mass of 2kg accelerates 3.5m/s2, what is the amount of force being applied to it?
Answer:
Force = 7N
Explanation:
Force = Mass x Acceleration = 2 x 3.5 = 7N
The steepest street in the world is Baldwin Street in Dunedin, NZ. It is inclined at an angle of 380 , with the horizontal. A child slides down the street with a constant velocity on a sled with high friction runners. What is the coefficient of friction between the sled runners and the street?
Newton's second law allows to find the result for the friction coefficient of the street is:
The friction coeficinwete is: μ = 0.78
Newton's second law establishes a relationship between the net force, the mass and the acceleration of the body.
∑ F = m a
Where bold indicates vectors, m is to mass and acceleration.
In the attached we see a free body diagram, it is a diagram of the forces without the details of the body, the x-axis is parallel to plane also shown with the positive in the direction of movement, going down the plane and the y-axis perpendicular to the plane.
Let's use trigonometry to break down the weight.
Sin θ = \(\frac{W_x}{W}\)
cos θ = \(\frac{W_y}{W}\) / W
Wₓ = W sin θ
\(W_y\) = W cos θ
We write Newton's second law for each axis.
y-axis
N- \(W_y\) = 0
N = mg cos θ
x-axis
Wₓ - fr = ma
Since they indicate that the body goes down at a constant speed, the acceleration is zero.
W sin θ = fr
The friction force is the macroscopic representation of the interactions between the two surfaces and the formula.
fr = μ N
we substitute.
fr = μ mg cos θ
mg sin θ = μ cos θ
μ = tan θ
Let's calculate.
μ = tan 38.0
μ = 0.78
In conclusion using Newton's second law we can find the results for the friction coefficient of the street is:
The frivtion coefficient is: μ = 0.78
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A car is traveling at a speed of 9.88 m/s. It travels for 9.71 seconds. what distance did the car travel
Answer:
it should be 21,3 kilometer
A charged object has 82 protons, 82 neutrons, and 109 electrons. What is its overall charge?
The overall charge of an object that has 82 protons, 82 neutrons, and 109 electrons is -27. Details about charge can be found below.
How to calculate overall charge?The overall charge of an atom can be calculated by subtracting the number of electrons from the number of protons.
The proton number represents the number of positively charged atom while the electron number represents the number of negatively charged atom.
According to this question, a charged object has 82 protons, 82 neutrons, and 109 electrons. The overall charge of the atom is calculated as follows:
Overall charge = 82 - 109
Charge = -27
Therefore, the overall charge of an object that has 82 protons, 82 neutrons, and 109 electrons is -27.
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Which scientist developed laws of motion
Answer:
Sir Isaac Newton
Explanation:
Answer:
Sir Isaac Newton.
Explanation:
Newton's laws of motion, relations between the forces acting on a body and the motion of the body, first formulated by English physicist and mathematician Sir Isaac Newton.
Two resistors, one with 7.00 Ω of resistance and the other with 11.00 Ω of resistance, are connected in series to a 9.00 V battery. How much power is dissipated by these two resistors?
Answer:
4.5 W
Explanation:
Applying,
P = V²/(R₁+R₂).................. Equation 1
Where P = Power, V = Voltage, R₁ and R₂ = values of the two resistor.
From the question,
Given: V = 9.00 V, R₁ = 7.00 Ω, R₂ = 11.00 Ω
Substitute these values into equation 1
P = 9²/(7+11)
P = 81/(18)
P = 4.5 Watt.
Hence the power dessipated by the two resistors is 4.5 watt
A 6.00 kg bowling ball with speed 9.00 m/s strikes a 0.750 kg pin. This slows the ball to
7.00 m/s. Find the force exerted on the pin due to the impact if the collision last for 0.030 s.
(a) Find the change in momentum of the bowling ball
(b) Find the impulse imparted on the pin
(c) Find the resulting speed of the pin after the collision
(d) Find the force exerted on the pin during the collision
For a 6.00 kg bowling ball:
(a) change in momentum of the bowling ball is −12.0 kg m/s
(b) impulse imparted on the pin is −12.0 kg m/s.
(c) resulting speed of the pin after the collision is 8.00 m/s
(d) force exerted on the pin during the collision −400 N
How to solve for collision?(a) The change in momentum of the bowling ball is given by
Δp = m(vf − vi) = (6.00 kg)(7.00 m/s−9.00 m/s) =−12.0 kg m/s
(b) The impulse imparted on the pin is equal to the change in momentum of the bowling ball, so the impulse is −12.0 kg m/s.
(c) The resulting speed of the pin after the collision can be found using conservation of momentum. The total momentum after the collision is the sum of the momentum of the bowling ball and the momentum of the pin. So,
mbvi = mbvf+ mpvp
where vp = speed of the pin after the collision.
Solving for vp,
vp = mb(vi− vf)/mp = (6.00 kg)(9.00 m/s−7.00 m/s) / 0.750 kg = 8.00 m/s
(d) The force exerted on the pin during the collision is given by
F = Δp/Δt = − 12.0 kg m/s/0.030 s = −400 N
The negative sign indicates that the force is in the opposite direction of the initial velocity of the bowling ball.
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Describe the shape of the following:
a. Solid -
b. Liquid -
C. Gas-
Answer:
Solids have a definite shape and volume. Liquids have a definite volume, but take the shape of the container. Gases have no definite shape or volume.
The kinetic energy of an object increases as its ____increases.
velocity
gravitational energy
potential energy
Answer:
potential energy because if your on a rolloer coaster wacth the vid
Answer:
gravitational energy
find the x component of a vector of 105 km/h at an angle of 25 degrees.
Answer:
Explanation:
First I converted the km/h to m/s, which is the more common unit for velocity. In m/s, 105 km/h is 29.2. Thus, to find the x component of the vector:
29.2cos25 = 26 m/s
If you want it in km/h:
105cos25 = 95 km/h
Review. The use of superconductors has been proposed for power transmission lines. A single coaxial cable (Fig. P32.71) could carry a power of 1.00x10³ MW (the output of a large power plant) at 200kV, DC , over a distance of 1.00x10⁸ km without loss. An inner wire of radius a=2.00cm, made from the superconductor Nb₃ Sn, carries the current I in one direction. A surrounding superconducting cylinder of radius b=5.00cm would carry the return current I. In such a system, what is the magnetic field (d) What is the pressure exerted on the outer conductor due to the current in the inner conductor?
The pressure exerted on the outer conductor due to the current in the inner conductor is P = [(2 × 10^(-7) * I) / 0.02]^2 / (2 * 4π × 10^(-7)).
To determine the magnetic field and pressure exerted in the given system, we can use Ampere's law and the Biot-Savart law.
(a) Magnetic Field:
The magnetic field inside a superconducting wire carrying current can be calculated using Ampere's law. Ampere's law states that the line integral of the magnetic field around a closed loop is proportional to the current passing through the loop.
For the inner wire carrying the current I, we can consider a circular loop of radius r within the wire. The magnetic field inside the wire at radius r can be calculated using Ampere's law:
∮ B · dl = μ₀ I
Where:
B is the magnetic field,
dl is an infinitesimal length element along the loop,
μ₀ is the permeability of free space (4π × 10^(-7) T·m/A),
I is the current in the wire.
Since the current flows uniformly throughout the cross-section of the wire, we can consider the loop within the wire to calculate the magnetic field. The magnetic field lines will be concentric circles around the wire.
The magnetic field at a distance r from the wire is given by:
B = (μ₀ I) / (2π r)
Substituting the given values, we have:
B = (4π × 10^(-7) T·m/A) * I / (2π r)
B = (2 × 10^(-7) * I) / r
Substituting the radius of the inner wire a = 2.00 cm = 0.02 m, we have:
B = (2 × 10^(-7) * I) / 0.02
(b) Pressure Exerted on the Outer Conductor:
The pressure exerted on the outer conductor can be calculated using the Biot-Savart law. The Biot-Savart law relates the magnetic field generated by a current element to the current and distance.
The pressure exerted on the outer conductor due to the current in the inner conductor can be calculated using the formula:
P = (B^2) / (2μ₀)
P = [(2 × 10^(-7) * I) / 0.02]^2 / (2 * 4π × 10^(-7))
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An object initially traveling at 20.0 m/s south decelerates uniformly at 6.00 m/s2 and is displaced 25.0 m. What is the final velocity of the object? (magnitude and direction)
Answer:
50.37 m/s and 40ms object
to complete your visual overview of the problem, you should compile two lists: one of known quantities and one listing the unknown variables that will allow you to answer the question in the problem. below are all of the relevant quantities in this problem: the initial and final velocities of the puck (vx)i and (vx)f , the magnitude jx of the impulse delivered by the stick, and the mass m of the puck. sort them accordingly.
Puck mass (m) and J (impulse), initial and ultimate velocities are the known and unknown quantities, respectively.
The integral of a force, F, over the time period over which it acts, t, is known as an impulse in classical mechanics and is denoted by the letters J or Imp. Since force is a vector quantity, impulse also belongs to this category. An object experiences an impulse, which results in an equivalent vector change in its linear momentum along with the subsequent direction. The kilogram meter per second (kg m/s) and newton second (N s), are dimensionally equal units of momentum and impulse, respectively. In the British Gravitational System, the unit is the slug-foot per second (slugft/s), but the equivalent English engineering measure is the pound-second (lbfs). As long as it is acting, a resulting force accelerates the body and alters its velocity.
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A dart is thrown from 1.50 m high at 10.0 m/s toward a target 1.73 m from the ground. At what angle was the dart thrown?
Answer:
The angle of projection is 12.26⁰.
Explanation:
Given;
initial position of the dart, h₀ = 1.50 m
height above the ground reached by the dart, h₁ = 1.73 m
maximum height reached by the dart, Hm = h₁ - h₀ = 1.73 m - 1.50 m= 0.23 m
velocity of the dart, u = 10 m/s
The maximum height reached by the projectile is calculated as;
\(H_m = \frac{u^2sin^2 \theta}{2g}\)
where;
θ is angle of projection
g is acceleration due to gravity = 9.8 m/s²
\(H_m = \frac{u^2sin^2 \theta}{2g}\\\\sin^2 \theta = \frac{H_m \ \times \ 2g}{u^2} \\\\sin^2 \theta = \frac{0.23 \ \times \ 2(9.8)}{10^2} \\\\sin ^2\theta =0.04508\\\\sin \theta = \sqrt{0.04508} \\\\sin \theta = 0.2123\\\\\theta = sin^{-1}(0.2123)\\\\\theta = 12.26^0\)
Therefore, the angle of projection is 12.26⁰.
Particles of light are known as A. electrons. B. neutrinos. C. photons. D. bosons.
Answer:
C. photons
hope this helps
have a good day :)
Explanation:
Answer:
The answer would be c
Explanation:
Jordan wants to know the difference between using a 60-W and 100-W lightbulb in her lamp. She calculates the energy it would take to use each bulb for 30 s by using this equation: Power = Energy transferred (J)/time (s) What is the difference in the amount of energy transferred by the two bulbs during this time?
Answer:
The difference in the amount of energy transferred by the two bulbs is 1200 J.
Explanation:
The energy transferred by the two lightbulbs can be calculated with the given equation:
\( E = P*t \)
Where P is the power and t is the time
For the 60 W lightbulb:
\( E_{60} = P*t = 60 W*30 s = 1800 J \)
For the 100 W lightbulb:
\( E_{100} = P*t = 100 W*30 s = 3000 J \)
Hence, the difference in the amount of energy transferred is:
\( E_{t} = E_{100} - E_{60} = 3000 J - 1800 J = 1200 J \)
Therefore, the difference in the amount of energy transferred by the two bulbs is 1200 J.
I hope it helps you!
The difference in the amount of energy transferred by the two bulbs during this time is 1200 J.
Calculation of the difference in the amount of energy:We know that
E = P*t
Here
P means the power and T means the time
So for 60W lightbulb, the energy should be
= 60*30
= 1800J
For 100 W, the energy should be
= 100*30
= 3000 J
So, the difference is
= 3000 -1800
= 1200 J
hence, The difference in the amount of energy transferred by the two bulbs during this time is 1200 J.
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what was the temperature changes in Celsius degrees if it is
changed from 44°F to -56°F?
Answer:
so, the answer is 56 whole number if round it, or 55.6(round it to 10th decimal)
Explanation:
(formula, idk it is wrong or right) °C =°F - 32 then / 1.8000
44°F = 6.6666666667°C
-56°F = -48.888888889°C
So, if u want whole number as the answer
it is something like 6.6666666667°C + 48.888888889°C = 55.5555555557 °C
so, so, the answer is 56 whole number if round it, or 55.6(round it to 10th decimal)
Which of the following are examples of acceleration?
A. A car speeds up after getting on a highway.
B. A car travels at a constant velocity on a highway.
C. A car slows down to exit a highway.
D. A car rounds a sharp curve on an off ramp at a constant speed.
Answer:
A, B, and D.
Explanation:
I've answered this exact question on a quiz. Hope it's not too late!
Answer:
A
C
D
Is the right answers not A.B,D.
trust
The mean time between collisions in iron is 3.6×10−15 s .
What electron current is driven through a 2.5-mm-diameter iron wire by a 0.067 V/m electric field?
The electron current driven through the iron wire is approximately 18.14 Amperes.
How to calculate electron current driven through the iron wireThe electron current driven through a 2.5-mm-diameter iron wire by a 0.067 V/m electric field can be calculated using the formula: I = n ⨯ e ⨯ A ⨯ vd where:
I = current,
n = number of conduction electrons per unit volume,
e = charge of an electron (1.6 x 10⁻¹⁹ C),
A = cross-sectional area of the wire,
vd = drift velocity of electrons.
First, we need to find the cross-sectional area A of the wire:
A = π ⨯ (d / 2)²
A = π ⨯ (2.5 x 10⁻³ m / 2)²
A ≈ 4.91 x 10⁻⁶ m²
The drift velocity (v_d) can be calculated using the formula:
vd = E ⨯ τ / m
where:
E = electric field strength (0.067 V/m),
τ = mean time between collisions (3.6 x 10⁻¹⁵ s),
m = effective mass of an electron in iron (9.11 x 10⁻³¹ kg).
vd = 0.067 V/m ⨯ 3.6 x 10⁻¹⁵ s / 9.11 x 10⁻³¹ kg vd ≈ 2.65 x 10⁵ m/s
The number of conduction electrons per unit volume (n) in iron is approximately 8.5 x 10²⁸ m⁻³.
Now, we can calculate the current (I):
I = (8.5 x 10²⁸ m⁻³) ⨯ (1.6 x 10⁻¹⁹ C) ⨯ (4.91 x 10⁻⁶ m²) ⨯ (2.65 x 10⁵ m/s)
I ≈ 18.14 A
So, the electron current driven through the iron wire is approximately 18.14 Amperes.
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as shown, wind is blowing on a 55-gallon drum. estimate the wind speed needed to tip the drum over. work in si units. the mass of the drum is 48 lbm, the diameter is 22.5 in., and the height is 34.5 in.
Approximately 30 m/s (67 mph) wind speed is needed to tip over the 55-gallon drum.
The critical wind speed needed to tip over the drum can be estimated using the formula:
\(V = (5/2*(h/d)*(W/m))^(1/2)\)
where V is the critical wind speed, h is the height of the drum, d is the diameter of the drum, W is the weight of the drum, and m is the mass of the drum.
Converting the given values to SI units, we get:
\(h = 0.8763 md = 0.5715 mW = 214.5 Nm = 21.77 kg\)
Substituting these values in the formula, we get:
\(V = (5/2*(0.8763/0.5715)*(214.5/21.77))^(1/2) ≈ 30 m/s\)
Therefore, approximately 30 m/s (67 mph) wind speed is needed to tip over the 55-gallon drum.
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A ball rolls off a level table with a speed of 2.2 m/s. The table is 1.2 meters high. How far away from the base of the table does the ball land?
The base of table is "1.08856 m" far away from the ball land.
Given:
Distance travelled by ball,
S = 1.2 mInitial velocity,
u = 0 m/sAcceleration,
a = 9.8 m/s²Constant speed,
2.2 m/sAs we know the formula,
→ \(S = ut+\frac{1}{2}at^2\)
By substituting the values, we get
→ \(1.2=\frac{1}{2}\times 9.8t^2\)
→ \(1.2 = 4.9 t^2\)
→ \(t = \sqrt{\frac{1.2}{4.9} }\)
→ \(= 0.4948 \ seconds\)
Let,
Horizontal distance will be "x".Time = t→ \(x = 2.2\times t\)
\(= 2.2\times 0.4948\)
\(= 1.08856 \ m\)
Thus the solution above is right.
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A 25 N force is used to push a box across a floor against a frictional force of 14 N. The box
accelerates from rest to a speed of 4 m/s in 16 s. What is the mass of the box?
Answer:
\(m = 44~Kg\)
Explanation:
Net Force
Newton's second law explains the dynamics principles when a number of forces are applied to an object.
The net force vector is the sum of the individual vector forces applied. The magnitude of the net force is related to the magnitude of the acceleration of the body as follows:
\(Fn=m.a\)
Furthermore, the acceleration can be calculated if we know the kinematic behavior of the body:
\(\displaystyle a=\frac{v_f-v_o}{t}\)
Where vf, vo, and t are the final speed, initial speed, and time, respectively.
The box is pushed across the floor with a force of 25 N against a frictional force of 14 N.
The net force applied to the box is:
\(Fn = 25 N - 14 N = 11 N\)
We also know the box is accelerated from rest (vo=0) to vf=4 m/s in t=16 seconds, thus:
\(\displaystyle a=\frac{4-0}{16}\)
\(a = 0.25~m/s^2\)
From the equation:
\(Fn=m.a\)
We solve for m:
\(\displaystyle m=\frac{Fn}{a}=\frac{11~N}{0.25~m/s^2}\)
\(\mathbf{m = 44~Kg}\)
At 300 K, a gas occupies 175 mL and has a pressure of 1.5 Pa. If the volume is increased to 200 mL and the temperature is decreased
to 295 K, what will the pressure be?
1.7 Pa
1.3 Pa
1.4 Pa
1.5 Pa
Answer:
1.3 Pa
Explanation:
from general gas equation
p1v1/TO =P2V2/T2