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A turntable rotates through \( 6 \) \( \text{rad} \) in \( 3 \) \( \text{s} \) as it accelerates uniformly from rest. What is its angular acceleration in \( \text{rad/s}^2 \)?
An object is experiencing a nonzero net force. Which of the following statements is most accurate?
A block attached to spring demonstrates simple harmonic motion about its equilibrium position with amplitude \( A \) and angular frequency \( \omega \). What is the maximum magnitude of the block’s velocity?
A driver is traveling at an unknown initial speed when an obstacle is detected. For an unknown reaction time, the car continues at its original constant speed. The driver then brakes with a constant acceleration of \( -4.0 \) \( \text{m/s}^2 \) until the car stops.
The total elapsed time is \( 8.0 \) \( \text{s} \), and the total distance traveled is \( 110 \) \( \text{m} \).
What is the driver’s reaction time?
Wile E. Coyote is (still) chasing after his arch-nemesis, the Roadrunner across a cliff that is \(125 \, \text{m}\) high. The Coyote is running in the horizontal direction towards the edge of a cliff when, at the last second, the Roadrunner steps out of the way and the witless coyote falls to the canyon floor.
The gravitational force that the Moon exerts on Earth is often cited as the source of the tides we witness. However, the gravitational force the Sun exerts on Earth is over \(100\) times greater than the force the Moon exerts on Earth.
Why is the force from the Moon credited for the tides, and not the force from the Sun?
Why do you tend to slide across the car seat when the car makes a sharp turn?
Block 2 initially is at rest. Block 1 travels towards block 2 and collides with Block 2 as shown above. Find the final velocities of both blocks assuming the collision is elastic.
A car moves forward at a steady \( 10 \) \( \text{m/s} \) for \( 5 \) \( \text{s} \). The driver slams the brakes and brings it to rest in \( 2 \) \( \text{s} \). Without waiting, the driver immediately accelerates backward (negative velocity) for \( 3 \) \( \text{s} \) until reaching \( 8 \) \( \text{m/s} \) in reverse. Draw the velocity vs. time graph.
Consider a uniform hoop of radius R and mass M rolling without slipping. Which is larger, its translational kinetic energy or its rotational kinetic energy?
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?
If a baseball pitch leaves the pitcher’s hand horizontally at a velocity of \( 150 \) \( \text{km/h} \), by what \( \% \) will the pull of gravity change the magnitude of the velocity when the ball reaches the batter, \( 18 \) \( \text{m} \) away? For this estimate, ignore air resistance and spin on the ball.
In lacrosse, a typical throw is made by rotating the stick through an angle of roughly \(90^\circ\), then releasing the ball when the stick is vertical, as shown above. If the \(1 \, \text{meter}\) long stick is at rest when horizontal and the ball leaves the stick with a velocity of \(10 \, \text{m/s}\), what angular acceleration must the stick experience?
Ball 1 is dropped from rest at time \( t = 0 \) from a tower of height \( h \). At the same instant, ball 2 is launched upward from the ground with the initial speed \( v_0 \). If air resistance is negligible, at what time \( t \) will the two balls pass each other?
On a distant planet, golf is just as popular as it is on Earth. A golfer tees off and drives the ball \(3.5\) times as far as he would have on Earth, given the same initial velocities on both planets. The ball is launched at a speed of \(45 \, \text{m/s}\) at an angle of \(29^\circ\) above the horizontal. When the ball lands, it is at the same level as the tee. On the distant planet find:
Two spheres with different masses, \( m \) and \( M \), are separated by a distance \( d \) between their centers. If the gravitational field strength due to the sphere of mass \( M \) at the position of the center of the sphere with mass \( m \) is \( X \), what is the field strength due to the sphere of mass \( m \) at the position of the center of the sphere of mass \( M \)? Select TWO answers.
You throw a rock straight up with an initial velocity of \( 5.0 \, \text{m/s} \).
When is the angular momentum of a system constant?
A person stands on a scale in an elevator. His apparent weight will be the greatest when the elevator
The front of a \( 60 \) \( \text{m} \)-long train is at \( x = 0 \) at \( t = 0 \). The train has an unknown initial speed and an unknown constant acceleration.
The front of the train reaches a trackside marker located at \( x = 120 \) \( \text{m} \) after \( 8.0 \) \( \text{s} \). The rear of the train clears the same marker at \( t = 10.0 \) \( \text{s} \).
What is the train’s acceleration?
A ball of mass \( M \) is attached to a string of length \( L \). It moves in a vertical circle and at the bottom the ball just clears the ground. The tension at the bottom of the path is \( 3 \) times the weight of the ball. Give all answers in terms of \( M \), \( L \), and \( g \).
A \(2 \, \text{kg}\) model rocket is launched with a thrust force of \(275 \, \text{N}\) and reaches a height of \(90 \, \text{m}\), at which point the thrust cuts out, but the rocket continues moving at \(150 \, \text{m/s}\). What is the average air resistance force acting on the rocket during its ascent?
A uniform stick has length \( L \). The moment of inertia about the center of the stick is \( I_0 \). A particle of mass \( M \) is attached to one end of the stick. The moment of inertia of the combined system about the center of the stick is
A force of \( 525 \) \( \text{N} \) is applied to a stationary couch of mass \( 150 \) \( \text{kg} \), where \( \mu_s = 0.33 \) and \( \mu_k = 0.22 \). What is the acceleration of the couch?
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