Kinematics
Dynamics
Work and Energy
Rotational Motion
SHM, Circuits, and Waves
100

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

6.5 m/s

100
A ball thrown vertically upward reaches a maximum height of 30. meters above the surface of Earth. At its maximum height, the speed of the ball is
0
100
An unfortunate bug splatters against the windshield of a moving car. Compared to the force of the car on the bug, the force of the bug on the car is _____________.
same
100
An astronaut orbits the earth in a space capsule whose height above the earth is equal to the earth's radius. How does the weight of the astronaut in the capsule compare to her weight on the earth? A) It is equal to her weight on earth. B) It is equal to one-half of her weight on earth. C) It is equal to one-third of her weight on earth. D) It is one-fourth her weight on earth. E) It is equal to one-sixteenth her weight on earth.
D
100
Object A is twice the mass of object B. Both objects are dropped off a cliff and fall under the sole influence of earth’s gravity near its surface. Compare the acceleration of A to the acceleration of B. A. Acceleration of A is four times that of B. B. Acceleration of A is twice that of B. C. Acceleration of A is half that of B. D. Acceleration of A is equal to that of B.
D. Acceleration of A is equal to that of B.
200
What is the stopping distance of a car with initial speed 10.0 m/s that decelerates uniformly at a rate of 2.0 m/s^2 ?
25 m
200
A basketball player jumped straight up to grab a rebound. If she was in the air for 0.80 second, how high did she jump?
0.784 m
200
A 1.5-kilogram lab cart is accelerated uniformly from rest to a speed of 2.0 meters per second in 0.50 second. What is the force producing this acceleration?
6 N
200
An astronaut weighs 800 newtons on the Surface of Earth. What is the weight of the astronaut 6.378 × 10^6 meters above the surface of Earth?
200 N
200
Which of the following statements applies to the motion of a ball rising and then falling in free fall? I. The ball has constant acceleration as it moves upward. II. The ball has constant acceleration at the top of its path. III. The ball has constant acceleration as it moves downward. a) I only b) III only c) I and III d) I, II, and III
d) I, II, and III
300
A car initially traveling at a speed of 16 meters per second accelerates uniformly to a speed of 20. meters per second over a distance of 36 meters. What is the car’s acceleration?
2 m/s^2
300
A ball is dropped from a 70 m tall tower. How long will it take the ball to hit the ground?
3.78 s
300
A snow scooter has a mass of 250 kg. A constant force acts upon the scooter for 1.0 minute. The scooter's velocity changes from 6.0 m/s to 28 m/s. What change in momentum occurs?
5500 Ns
300
A ball of mass M at the end of a string is swung in a horizontal circular path of radius R at constant speed V. Which combination of changes would require the greatest increase in the centripetal force acting on the ball? (1) doubling V and doubling R (2) doubling V and halving R (3) halving V and doubling R (4) halving V and halving R
(2) doubling V and halving R
300
In which of the following situations would an object be accelerated? I. It moves in a straight line at constant speed. II. It moves with uniform circular motion. III. It travels as a projectile in a gravitational field with negligible air resistance. (A) I only (B) III only (C) I and II only (D) II and III only (E) I, II, and III
D
400
An object starts from rest and accelerates uniformly in a straight line . After 11 seconds, its speed is 70.0 m/s. How far does the object travel during the first 11 seconds?
385 m
400
A tennis ball is thrown from ground level with velocity v directed 20° above the horizontal. If it takes the ball 2.5 s to reach the top of its trajectory, what is the initial velocity?
14 m/s
400
A 16.0 N force is applied at 24.0 degrees above the horizontal to a 1.5 kg brick to drag it across a table. The coefficient of sliding (kinetic) friction is 0.43. What is the acceleration of the brick?
7.4 m/s^2
400
On the surface of Earth, a spacecraft has a mass of 2.00 × 10^4 kilograms. What is the mass of the spacecraft at a distance of one Earth radius above Earth’s surface?
2.00 × 10^4 kilograms
400
For which one of the following situations will the path length equal the magnitude of the displacement? A) A jogger is running around a circular path. B) A ball is rolling down an inclined plane. C) A train travels 5 miles east; and then, it stops and travels 2 miles west. D) A ball rises and falls after being thrown straight up from the earth's surface. E) A ball on the end of a string is moving in a vertical circle.
B
500
Two identical bowling balls A and B are each dropped from rest from the top of a tall tower. Ball A is dropped 1.0 s before ball B is dropped, but both balls fall for some time before ball A strikes the ground. After ball B is dropped, but before ball A strikes the ground, which of the following is true? (A) The distance between the two balls decreases. (B) The velocity of ball A increases with respect to ball B. (C) The velocity of ball A decreases with respect to ball B. (D) The distance between the two balls remains constant. (E) The distance between the two balls increases
E
500
A football is kicked with a speed of 22 m/s at an angle of 60.0° with the horizontal. What is the velocity at the highest point?
11 m/s
500
A 700. kg car traveling at 20.0 m/s collides with a stationary 1400 kg truck. The two vehicles interlock and travel together. What is the final velocity of the car?
6.67 m/s
500
A 5.00 kg object completes 10.0 revolutions in 3.0 seconds with a radius of 30.0 cm. What is the acceleration of the object?
131.6 m/s^2
500
Calculate the resultant of 10 m/s, 30 degrees North of East and 10 m/s, 60 degrees West of South.
0
M
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