On which planet would a 15.0 kg object weigh the most?The weight of an object is affected by its mass and the strength of gravity. On planets with a greater mass, the force of gravity is stronger than on those with a lower mass. Hence, the weight of an object is greater on planets with more mass, according to Newton's second law of motion.
The weight of a 15 kg object is the largest on the planet Jupiter because Jupiter has the highest mass among all the planets of our solar system. The answer is written below:Jupiter is the planet where a 15.0 kg object would weigh the most.Round the answer to the nearest whole numberOn Jupiter, the acceleration due to gravity is 24.79 m/s². The weight of an object on Jupiter is calculated using the formula:
F = m × gwhereF is the force of gravity (in newtons),m is the mass of the object (in kilograms), andg is the acceleration due to gravity (in meters per second squared).On Jupiter, the weight of a 15.0 kg object is:F = 15.0 kg × 24.79 m/s²= 371.85 N = 372 N (to the nearest whole number)Therefore, on Jupiter, a 15.0 kg object would weigh about 372 N.
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A train is traveling N at 45 m/s. After 10s, it is traveling at 90 m/s. What is it's acceleration?
Answer:
The train's acceleration is 4.5 m/s²
Explanation:
The train's speed increased by 45 m/s after 10 seconds, which means that it's speed increased by 4.5 m/s each second, or rather 4.5m/s²
A baseball approaches home plate at a speed of 48.0 m/s, moving horizontally just before being hit by a bat. The batter hits a pop-up such that after hitting the bat, the baseball is moving at 59.0 m/s straight up. The ball has a mass of 145 g and is in contact with the bat for 2.10 ms. What is the average vector force the ball exerts on the bat during their interaction
The ball interacts with the bat with an average vector force of 759.52 N.
The average vector force the ball exerts on the bat during their interaction is found as follows:
Initial velocity of the ball ,
u = 48.0 m/s
Final velocity of the ball after hitting the bat,
v = 59.0 m/s
Duration of the collision,
t = 2.10 ms = 2.10 × 10⁻³ s
Mass of the ball,
m = 145 g = 0.145 kg
Initial momentum of the ball,
p₁ = mu = 0.145 × 48
= 6.96 kg m/s
Final momentum of the ball,
p₂ = mv = 0.145 × 59
= 8.555 kg m/s
Change in momentum of the ball,
Δp = p₂ - p₁
= 8.555 - 6.96
= 1.595 kg m/s
Average vector force on the ball during their interaction is given by:
F = Δp / t
F = 1.595 / 2.10 × 10⁻³
F = 759.52 N
The ball interacts with the bat with an average vector force of 759.52 N.
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two 1-kg stationary cue balls are struck by cue sticks. the cues exert the forces shown. which ball has the greater final speed?
Both balls have the same final speed.
What is speed?The distance traveled by an object per unit time is defined as its speed. Speed is a scalar quantity because it has no direction and only magnitude. The SI unit is meter/second.Based on Newton's second law of motion,
Second Law of Motion of Newton (Force) The acceleration of an object is determined by its mass and the amount of force applied.force = momentum/time change
Momentum change = force time
(force time)/mass = change in speed
When two 1.0 kg stationary cue balls are struck by cue sticks with equal force and time.
Therefore both stationary cube balls will have the same final speed.
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when Heather swings on a swing set she moves in a periodic motion like a pendulum she has a mass of 62 kg if Heather has a maximum height of 1.2 M what is her maximum velocity?
Answer
U Max velocity= Potential energy= kinetic energy
The potential energy is the product of mass * acceleration due to gravity * height
The kinetic energy is the product of 1/2 mass* square of velocity.
Max Velocity=mgh= 1/2mv^2
Mass is given as 62kg, height =1.2m and g= 9.8m/s^2
62kg* 9.8m/s^2*1.2= 1/2*62kg* v^2
729.12=31v^2
V^2= 729.12/31 =23.52
V^2=square root of 23.52
V= 4.85m/s
What force controls the movement of the planets around the sun, holds together stars grouped in galaxies, and galaxies grouped in clusters?
Answer:
Gravity.
Explanation:
The force that controls the movement of the planets around the sun, holds together stars grouped in galaxies, and galaxies grouped in clusters is called gravity.
This ultimately implies that, gravity is considered to be a universal force of attraction that acts between all objects that has both mass, energy and occupy space. Therefore, it acts in such a way as to bring objects together.
Additionally, the gravity of earth makes it possible for all physical objects to possess weight.
Weight can be defined as the force acting on a body or an object as a result of gravity.
Mathematically, weight is given by the formula;
\( Weight = mg \)
Where;
m is the mass of an object.
g is acceleration due to gravity.
Object 1 and object 2 travel across a horizontal surface, and their horizontal velocity as a function of time is shown in the graph. Which of the following statements is correct about the two-object system?
After 2 seconds, object 1 travels a greater distance than object 2 travels.
Objects have the same velocity only if they are transferring at the same pace and within an identical route. Objects moving at different speeds, in specific instructions, or each having specific velocities. An object shifting inside the fine path at a steady pace could be represented on a v-t graph through a horizontal line (slope = a = 0 m/s/s) positioned inside the + velocity place.
the velocity might be positive each time the line lies inside the positive location (above the x-axis) of the graph. further, the rate might be negative every time the road lies within the negative region (underneath the x-axis) of the graph.
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Compare violet and yellow light from the visible spectrum. You are currently in a labeling module. Turn off browse mode or quick nav, Tab to items, Space or Enter to pick up, Tab to move, Space or Enter to drop. Which has the longer wavelength
Violet and yellow light are both colors that are part of the visible spectrum, which is the range of colors that can be seen by the human eye. When comparing violet and yellow light, one important factor to consider is the wavelength of each color.
Violet light has a shorter wavelength than yellow light. The wavelength of violet light is approximately 400-450 nanometers, while the wavelength of yellow light is approximately 570-590 nanometers. This means that violet light has a higher frequency and more energy than yellow light.
Because of its shorter wavelength, violet light is often associated with properties such as creativity, spirituality, and intuition. It is also known for its ability to stimulate the brain and enhance concentration. On the other hand, yellow light is often associated with positivity, happiness, and warmth. It is also known for its ability to improve mood and boost energy levels.
Overall, while both violet and yellow light are important colors in the visible spectrum, they differ in their wavelength and associated properties.
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The International Space Station (ISS) orbits the Earth every 90 minutes. The Earth has an average radius of 6371 km and an approximate mass of m = 5.97 × 1024 kg. The gravitational force between two massive objects is calculated using the following formula: =∙m1m2,where=6.674×10−11m3⁄kg∙s2 If we assume the Earth to be spherical and the ISS orbit perfectly circular: a) Calculate the angular velocity of the ISS. (1) b) Calculate the height above the Earth’s surface at which the ISS orbits. (5) c) Calculate the tangential (linear) speed the ISS must travel to maintain this orbit. 2 Give your answer in km/h, rounded to the nearest whole number.
The angular velocity of the ISS is 0.012 rad/s. the height above the Earth's surface at which the ISS orbits is 408 km. the tangential speed of the ISS is 7 km/s.
a) Calculate the angular velocity of the ISS.
The angular velocity of the ISS can be calculated using the following formula:
ω = v / r
where:
ω is the angular velocity in radians per second
v is the tangential velocity in meters per second
r is the radius of the orbit in meters
The tangential velocity of the ISS is the speed at which it travels along the circumference of its orbit. The radius of the ISS's orbit is the distance from the center of the Earth to the ISS.
In this case, the tangential velocity of the ISS is 7.66 kilometers per second. The radius of the ISS's orbit is 6371 kilometers. Therefore, the angular velocity of the ISS is:
ω = 7.66 km/s / 6371 km = 0.012 rad/s
b) Calculate the height above the Earth’s surface at which the ISS orbits.
The height above the Earth's surface at which the ISS orbits can be calculated using the following formula:
h = r * (1 - (1 - e^2)^(1/2))
where:
h is the height above the Earth's surface in meters
r is the radius of the Earth in meters
e is the eccentricity of the orbit
The eccentricity of the ISS's orbit is 0.016. Therefore, the height above the Earth's surface at which the ISS orbits is:
h = 6371 km * (1 - (1 - 0.016^2)^(1/2)) = 408 km
c) Calculate the tangential (linear) speed the ISS must travel to maintain this orbit.
The tangential speed of the ISS can be calculated using the following formula:
v = ω * r
where:
v is the tangential speed in meters per second
ω is the angular velocity in radians per second
r is the radius of the orbit in meters
The angular velocity of the ISS is 0.012 rad/s. The radius of the ISS's orbit is 6371 kilometers. Therefore, the tangential speed of the ISS is:
v = 0.012 rad/s * 6371 km = 7.66 km/s
rounded to the nearest whole number: 7 km/s
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What is the approximate speed of sound in air in metres per second?
Answer:
about 343 metres per second
You drop your cell phone while in the bathroom in front of the mirror while the water is runring inthe sink below. If you are 0.45 meters above the sink, how long do you have before your cell phone isruined?
Answer:
0.303 seconds
Explanation:
We need to find the time that the cell phone takes to reach the sink. So, we will use the following equation
\(y=y_i+v_it+\frac{1}{2}at^2\)Where
yi is the initial position, so yi = 0.45 m
vi is the initial velocity. Since it is freefall, vi = 0 m/s
a is the acceleration due to gravity, so a = -9.8 m/s²
y is the final position, so y = 0 m
t is the variable that we need to find.
So, replacing the values, we get:
\(\begin{gathered} 0=0.45+0t+\frac{1}{2}(-9.8)t^2 \\ 0=0.45-4.9t^2 \end{gathered}\)Now, we can solve for t
\(\begin{gathered} -0.45=-4.9t^2 \\ \frac{-0.45}{-4.9}=t^2 \\ 0.09=t^2 \\ \sqrt[]{0.09}=t \\ 0.303\text{ s = t} \end{gathered}\)Therefore, you have 0.303 seconds before your cell phone is ruined.
how are chemical and physical weathering different?
Answer: Physical weathering is when a rock is broken through the force of another physical substance on the rock like ice, running water, or wind. On the other hand, chemical weathering is when a reaction occurs between the rock and another substance that causes the rock to dissolve (chemical reaction), which changes the identity of the rock.
Explanation:
Physical = breakdown of rocks and minerals
Chemical = chemical breakdown of rocks
a distant quasar shows a large redshift -- one so large, in fact, that the features we now see in the visible-light region of the spectrum would be invisible to us, were it not for the redshift. what band of the electro-magnetic spectrum were these features most likely in, before the spectrum was redshifted?
Answer:
Explanation:
in this problem, you will apply kinematic equations to a jumping flea. take the magnitude of free-fall acceleration to be 9.80 m/s2 . ignore air resistance.
A flea jumps straight up to a maximum height of 0.450 m . What is its initial velocity v0 as it leaves the ground?
How long is the flea in the air from the time it jumps to the time it hits the ground?
The flea's initial velocity while jumping straight up is 2.96 m/s.
What does acceleration vs. velocity mean?The rate at which in displacement is known as velocity. Acceleration is the measure of a change in velocity. Due to the fact that it includes both magnitude and direction, velocity is an vector quantity. Acceleration is a vector quantity because it is the speed at which velocity varies.
v² = u² – 2gh (since the ball is going against gravity)
0² = u² – (2 × 9.8 × 0.45)
0 = u² – 8.82
u² = 0 +8.82
u² = 8.82
u = √8.82
u = 2.96m/s
Thus, the initial velocity is 2.96m/s
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Which statement about the dark nebulae is true? Group of answer choices They can be penetrated only with longer wavelengths such as radio and infrared. They block the vast majority of radio waves from our Galaxy. Hydrogen and helium are the chief absorbing and scattering agents. They can be penetrated only with shorter waves, such as UV and x-ray. Only one is known to exist.
Answer:
They can be penetrated only with longer wavelengths such as radio and infrared.
Explanation:
A dark nebula can be defined as an interstellar cloud that is so dense as a result of high concentration of gas and dust and as such it obscures the visible wavelengths of light from stars behind it, thus appearing completely opaque (dark patch) in front of a bright emission nebula or in regions having plenty stars.
Hence, dark nebulae can be penetrated only with longer wavelengths such as radio and infrared light because they cannot be absorbed by the dust layers or particles coated with frozen carbon monoxide and nitrogen residing in the dark nebulae.
A 43-kg child sits in a massless swing. With what horizontal force must the seat be pulled so that the ropes form an angle of 35o with respect to the vertical
Fx = 295.4N
180°-90°-35°= 55°
F= m(a)
Fy = 43kg(9.81m/s²)
Fy = 421.83N
tan(55°) = 421.83N/Fx
Fx = 421.83N/tan(55°)
Fx = 295.3685458N
What are horizontal and vertical forces?Each component describes the influence of that chain in the given direction. The vertical component describes the upward influence of the force upon Fido and the horizontal component describes the rightward influence of the force upon Fido.
What direction is friction force?The kinetic frictional force is always in the direction opposite to the velocity of the object.
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What type of radiation can be stopped by a approximately 5 cm of air.
Define inertia, give its classification.
Answer:
The tendeny of a body to continue its state either motion or rest is called inertia . First law of newton also called law of inertia .
There are three types of inertia
1. Motion inertia
2. Rest inertia
3. Directional inertia
Explanation:
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Answer:
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Part A What is the volume of your patient? Hydrostatic weighing, or "underwater weighing," is used to measure a patient's body composition. To do this measurement, the patient is weighed while standing on a regular scale and then weighed while immersed in water. By comparing these weights, the density and body fat percentage of a patient can be recorded. The weight of your patient on a regular scale is 600 N and while immersed in water is 60 N. The density of water is 1000 kg/m² and assume that g = 10 m/s2. 0.054 m 0.0060 m 0.060 m O 0.54 m3
To calculate the volume of the patient, we can use the principle of buoyancy, which states that the buoyant force acting on an object immersed in a fluid is equal to the weight of the fluid displaced by the object.
What is the volume of your patient?The weight of the water displaced by the patient can be calculated as follows:
Weight of water displaced = Weight on regular scale - Weight in water
= 600 N - 60 N
= 540 N
The volume of water displaced is equal to the volume of the patient, so we can use the density of water to calculate the volume:
Volume of patient = Weight of water displaced / Density of water / Acceleration due to gravity
= 540 N / (1000 kg/m³) / (10 m/s²)
= 0.054 m³
Therefore, the volume of the patient is 0.054 m³.
Answer: 0.054 m³.
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Everyone experiences a wide range of emotions, but when could they indicate a mental disorder?
Answer:
Excessive paranoia, worry, or anxiety.
Long-lasting sadness or irritability.
Extreme changes in moods.
Social withdrawal.
Dramatic changes in eating or sleeping patter
Explanation:
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The slope of a distance-versus-time graph shows an object's
A. speed.
B. time of travel.
C. distance traveled.
D. None of the other answer choices
The electric potential in a region of space is V=( 200 x2− 220 y2)V, where x and y are in meters.What is the strength of the electric field at (x,y)=(2.0m,3.0m) ?What is the direction of the electric field at (x,y)=(2.0m,3.0m) ? Give the direction as an angle (in degrees) counterclockwise from the positive x-axis.
The strength of the electric field at (2.0m, 3.0m) is 880 V/m and the direction of the electric field is 116.6 degrees counterclockwise from the positive x-axis.
To find the electric field strength and direction, we need to take the negative gradient of the electric potential. Therefore, we first need to find the partial derivatives of V with respect to x and y:
Vx = 400x V/m
Vy = -440y V/m
Next, we can calculate the electric field components:
Ex = -Vx = -400x V/m
Ey = -Vy = 440y V/m
At the point (2.0m, 3.0m), the electric field strength can be calculated as:
E = sqrt(Ex^2 + Ey^2) = sqrt((-400x)^2 + (440y)^2) = 880 V/m
The direction of the electric field can be determined as:
theta = arctan(Ey/Ex) = arctan(440y/(-400x)) = 116.6 degrees counterclockwise from the positive x-axis.
Therefore, the electric field strength at (2.0m, 3.0m) is 880 V/m and the direction of the electric field is 116.6 degrees counterclockwise from the positive x-axis.
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If € ₁ 4. 0 V. & 2 = 12. 0 V, R₁ = 40, R₂ = 1202, C-3 μF, Q = 18 μC, and I = 2. 5 A, what is the potential difference V, - V? b- 5. 0 V O-5. 0 V 30 V O-30 V & - 1. ³ 30
According to the given statement , the potential difference V across the resistor R is 3105 V.
To find the potential difference V, we can use Ohm's Law and the formula for the potential difference across a capacitor.
First, let's calculate the current flowing through the circuit. We are given that I = 2.5 A.
Next, we can calculate the total resistance in the circuit using the formula R = R₁ + R₂. Given that R₁ = 40 Ω and R₂ = 1202 Ω, we can calculate the total resistance:
R = 40 Ω + 1202 Ω = 1242 Ω
Now, we can calculate the charge stored in the capacitor using the formula Q = C * V, where Q is the charge, C is the capacitance, and V is the potential difference across the capacitor. We are given that Q = 18 μC and C = 3 μF. Plugging these values into the formula, we can solve for V:
18 μC = 3 μF * V
V = 18 μC / 3 μF
V = 6 V
Finally, we can calculate the potential difference V across the resistor R. Using Ohm's Law, we can use the formula V = I * R:
V = 2.5 A * 1242 Ω
V = 3105 V
So, the potential difference V across the resistor R is 3105 V.
In conclusion, the potential difference V across the resistor R is 3105 V.
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At 6: 00 am, a motorbike set off from town A to town B at a speed of 40km/h. At the same time, a car set off from town B to town A at a speed of 60km/h. What time did they meet
Answer:
One would need to know how far apart the towns are:
T = SA / 40 time it takes for first cyclist to travel S1
T = SB / 60 time it takes for cyclist B to travel distance S2
SA + SB = S the distance between the towns
SB = 60 / 40 SA = 1.5 SA
SA + 1.5 SA = S
S = 2.5 SA where cyclist travels distance SA
The time will depend on the separation of the towns.
A longitudinal wave is observed. Exactly 6 crests are observed
to move past a given point in 9.1 s. Its wavelength is 2.4 m and
its frequency is 0.66 HZ. What is the speed of the wave?
A jet plane is speeding down the runway during takeoff. Air resistance is not negligible, friction is negligible. Identify the forces on the jet.
Jet aircraft naturally accelerate quickly during takeoff. There is barely any air resistance. Weight, drag, thrust, and normal force are the forces that the jet plane is subject to.
How does flight impact Newton's law?Issac Newton discovered that every action has a corresponding and diametrically opposed reaction. While an engine pushes air backward, for instance, the airplane will move forward with a similar but opposing force. In order for the plane to fly in the opposite direction, each engine expels air in one direction. Thrust is the name for this reactive force.
Is the conservation of linear momentum the basis for jet aircraft?Jet aircraft operate under the conservation of momentum principle, which states that if the system's starting momentum was zero, therefore the system's final momentum must also be zero. Hence, the recoil of the fuel gasses ejected in the backward direction causes the jet to proceed in the forward direction.
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On a building site, a crane lifts a load of bricks. The lifting force is 2750N and the bricks are raised to a height of 9.0m. Calculate the work done by the crane in lifting the bricks.
Answer:
the work done in raising the load is 24,750 J
Explanation:
Given;
load lifted by the crane with a force, F = 2750 N
height through which the load was raised, h = 9.0 m
The work done by the crane in raising the load is calculated as;
W = F x h
W = 2750 x 9
W = 24,750 J
Therefore, the work done by the crane in raising the load is 24,750 J
Which of the following is TRUE about the stages of grieving?A.Each stage should be experienced only once for each loss.B.Everyone must move through the stages in the same order.C.Progressing through these stages will help to deal with loss in a healthy manner.D.none of the abovePlease select the best answer from the choices provided.ABCD
Grief can be defined as a natural response to loss. Some of the most common states of grieving are denial, isolation, anger, depression, and acceptance.
The statement 'Progressing through these stages will help to deal with loss in a healthy manner' about the stages of grieving is TRUE (Option C).Grief refers to the emotional suffering that has come when someone close has died.Actions such as avoid, ignoring, or escaping are not good feelings to deal with grief effectively (they are unhealthy).Learn more in:
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You throw a dodge ball with a mass of 2.1 kg. The ball leaves your hand with a speed of 25 m/s. Identify the energy (PE or KE) and calculate it.
Given,
The mass of the object, m=2.1 kg
The speed of the object, v=25 m/s
Kinetic energy is the energy that an object possesses due to its motion. And potential energy is the energy that an object possesses due to its position.
The gravitational potential energy depends on the height of the object. As the change in the height of the object is not mentioned in the question, let us assume that there is no change in the potential energy.
The velocity of the object, however, changes. Thus the energy possessed by the object is the kinetic energy.
And the kinetic is given by
\(E_K=\frac{1}{2}mv^2\)On substituting the known values,
\(\begin{gathered} E_K=\frac{1}{2}\times2.1\times25^2 \\ =656.25\text{ J} \end{gathered}\)Thus the kinetic energy of the ball is 656.25 J
explain the arrangements of molecular magnets in a magnet and in a magnetic substance
: Molecular magnet can refer to : molecular based magnet . An unconventional magnetic material that consists of organic molecules cordination compounds and combination
collision 1: the 4-wheeler collides with the go-cart. the final speed of the 4- wheeler is 70 m/s. find the final speed of the go-cart in this inelastic collision.
The final speed of the go-cart in this inelastic collision is 70 m/s. The result is obtained by using the concept of inelastic collision.
What is inelastic collision?The inelastic collision of two objects occur when some of the kinetic energy is lost, converted to other forms. It means that the law of conservation of kinetic energy doesn't apply.
In this case, both objects will stick together and move together with the same speed. The law of conservation of momentum applies.
m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'
Where
m₁ and m₂ is the mass of two objectsv₁ and v₂ is the initial speed of two objects before collisionv₁' and v₂' is the final speed of two objects after collisionThe 4-wheeler collides with the go-cart in inelastic collision.
Final speed of the 4-wheeler, v₁' = 70 m/sFind the final speed of the go-cart!
Note that this is an inelastic collision. In this case, the 4-wheeler and go-cart will stick together and move with the same speed.
The formula for conservation of momentum will be
m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'
m₁v₁ + m₂v₂ = (m₁ + m₂)v'
It means that
v₁' = v₂' = v'
The final speed of the go-cart is the same with the final speed of the 4-wheeler.
v₂' = v₁' = 70 m/s
Hence, the go-cart will have the final speed of 70 m/s.
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