A meter stick of mass [katex] .2 [/katex] kg is pivoted at one end and supported horizontally. A force of [katex] 3 [/katex] N downwards is applied to the free end, perpendicular to the length of the meter stick. What is the net torque about the pivot point?
Three blocks are stacked on top of one another. The top block has a mass of \( 4.6 \, \text{kg} \), the middle one has a mass of \( 1.2 \, \text{kg} \), and the bottom one has a mass of \( 3.7 \, \text{kg} \).
Identify and calculate any normal forces between the objects.
A car moves at constant speed in a circle of radius 75 m on a horizontal road. The coefficient of static friction is 0.62. Find the maximum speed the car can go without sliding.
A conical pendulum is formed by attaching a ball of mass \( m \) to a string of length \( L \), then allowing the ball to move in a horizontal circle of radius \( R \).
A coin is dropped from a hot air-balloon that is 250 m above the ground rising at 11 m/s upwards. For the coin, assume up is positive and find the following:
A baseball, mass 0.5 kg, is traveling to the right at 32.2 m/s when it is hit by a bat and travels the opposite direction at 72.2 m/s. The bat hits the ball with a force of 1,222 N. What is the ball’s change in momentum and how long was the ball in contact with the bat?
A marble is thrown horizontally with a speed of 15 m/s from the top of a building. When it strikes the ground, the marble has a velocity that makes an angle of 65° with the horizontal. From what height above the ground was the marble thrown?
Young David experimented with slings before tackling Goliath. He found that he could develop an angular speed of \( 8.0 \) \( \text{rev/s} \) in a sling \( 0.60 \) \( \text{m} \) long. If he increased the length to \( 0.90 \) \( \text{m} \), he could revolve the sling only \( 6.0 \) times per second.
An average adult elephant \( (5000 \, \text{kg}) \) is strapped to a spring, which is then pulled \( 2 \, \text{meters} \) away from its equilibrium position and released. The elephant starts oscillating back and forth with a period of \( 10 \) seconds.
An object is moving in a horizontal circle at a constant speed. Which of the following correctly describes the linear and angular velocities of the object between any point along the circular path?
Keep in mind its asking about linear VELOCITY (which is speed + direction and that direction is changing). Use simple explanations and do not mention unit vectors.
A major-league pitcher can throw a baseball in excess of \( 41.0 \, \text{m/s} \). If a ball is thrown horizontally at this speed, how much will it drop by the time it reaches a catcher who is \( 17.0 \, \text{m} \) away from the point of release?
A skateboarder, with an initial speed of \( 20.0 \, \text{m/s} \), rolls virtually friction-free down a straight incline of length \( 18 \, \text{m} \) in \( 3.3 \, \text{s} \). At what angle is the incline oriented above the horizontal?
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