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Given the graph of velocity versus time for a duck flying due south for the winter, at what labeled point did the duck stop its forward motion?
An object moves at a constant speed of \( 9.0 \frac{m}{s} \) in a circular path of radius of 1.5 m. What is the angular acceleration of the object?
You must split an apple resting on top of your friend’s head from a distance of \(27 \, \text{m}\). When you aim directly at the apple, the arrow is horizontal. At what angle should you aim the arrow to hit the apple if the arrow travels at a speed of \(35 \, \text{m/s}\)?
In a demonstration, a teacher holds the axle of a wheel that is spinning with constant angular speed. The teacher then releases the axle and the wheel begins to fall toward the ground. As the wheel falls, its angular speed remains constant. Which of the following correctly describes how the rotational kinetic energy \( K_{\text{rot}} \) of the wheel and the total kinetic energy \( K_{\text{tot}} \) of the wheel change, if at all, after the wheel is released but before it reaches the ground?
| \( K_{\text{rot}} \) | \( K_{\text{tot}} \) | |
|---|---|---|
| A | Constant | Constant |
| B | Constant | Increasing |
| C | Increasing | Constant |
| D | Increasing | Increasing |
A box rests on the (frictionless) bed of a truck. The truck driver starts the truck and accelerates forward. The box immediately starts to slide toward the rear of the truck bed.
A \( 60 \ \text{kg} \) person is riding in an elevator. At time \( t_1 \), the elevator is accelerating downward with a magnitude of \( 2 \ \text{m/s}^2 \). A short time later, at time \( t_2 \), the elevator is accelerating upward with a magnitude of \( 2 \ \text{m/s}^2 \). The ratio of the normal force exerted by the elevator on the person at time \( t_1 \) to that at time \( t_2 \) is most nearly
A block of uniform material is cut into two pieces, where one piece is cut to have a volume that is \( 3 \) times the volume of the other. How does the density of the smaller piece compare to the density of the larger piece?
A soccer ball is kicked horizontally off an \( 85 \) \( \text{m} \) high cliff at a speed of \( 34 \) \( \text{m/s} \). What is the ball’s final speed when it hits the ground below?
How long does it take for a rotating object to speed up from 15.0 rad/s to 33.3 rad/s if it has a uniform angular acceleration of 3.45 rad/s2?
Two balls are dropped from the roof of a building. One ball has twice as massive as the other and air resistance is negligible. Just before hitting the ground, the more massive ball has ball ____ the kinetic energy of the less massive ball.
On a strange, airless planet, a ball is thrown downward from a height of \( 17 \, \text{m} \). The ball initially travels at \( 15 \, \text{m/s} \). If the ball hits the ground in \( 1 \, \text{s} \), what is this planet’s gravitational acceleration?
At what distance from the Earth will a spacecraft traveling directly from the Earth to the Moon experience zero net force because the Earth and Moon pull in opposite directions with equal force?
In 2014, the European Space Agency placed a satellite in orbit around comet 67P/Churyumov-Gerasimenko and then landed a probe on the surface. The actual orbit was elliptical, but we can approximate it as a 50 km diameter circular orbit with a period of 11 days.
A bus passes a bus stop moving at a constant speed of \( 6.0 \) \( \text{m/s} \). \( 4 \) \( \text{s} \) later, a cyclist starts from rest at the same bus stop and accelerates at a constant rate. The cyclist catches the bus at the exact instant the cyclist reaches \( 18 \) \( \text{m/s} \).
What is the cyclist’s acceleration?
From the figure above, determine which characteristic fits this collision best.
A ball of mass \( 0.5 \, \text{kg} \), initially at rest, is kicked directly toward a fence from a point \( 32 \, \text{m} \) away, as shown above. The velocity of the ball as it leaves the kicker’s foot is \( 20 \, \text{m/s} \) at an angle of \( 37^\circ \) above the horizontal. The top of the fence is \( 2.5 \, \text{m} \) high. The ball hits nothing while in flight and air resistance is negligible.
An airplane is traveling \( 900. \) \( \text{km/h} \) in a direction \( 38.5^\circ \) west of north.
Traveling at a speed of \( 22 \) \( \text{m/s} \), the driver of an automobile suddenly locks the wheels by slamming on the brakes. The coefficient of friction between the tires and the road is \( 0.68 \). How much time does it take for the car to come to a halt? As usual, ignore the effects of air resistance and anything else that could interfere with this problem.
A person is standing on a railroad station platform when a high-speed train passes by. The person will tend to be
Object A starts from rest at \( x = 0 \) and accelerates to the right at an unknown constant rate. At the same instant, Object B is at \( x = 80 \) \( \text{m} \) and moves left at a constant speed of \( 10 \) \( \text{m/s} \). The objects meet when Object A is moving at \( 12 \) \( \text{m/s} \). Determine the following.
A spring in a pogo-stick is compressed \( 12 \) \( \text{cm} \) when a \( 40. \) \( \text{kg} \) girl stands on it. What is the spring constant for the pogo-stick spring?
At \( t = 0 \), a car is at \( x = 0 \), but its initial velocity and constant acceleration are unknown. The car’s position is: \( x = 44 \) \( \text{m} \) at \( t = 4.0 \) \( \text{s} \) and \( x = 170 \) \( \text{m} \) at \( t = 10.0 \) \( \text{s} \).
A \(1509 \, \text{g}\) wood block is being pulled by the force meter at a constant velocity. Using the graph above, find:
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