3. Movement Analysis

Kinetics — Quiz

Test your understanding of kinetics with 5 practice questions.

Practice Questions

Question 1

A baseball player swings a bat with a moment of inertia of $2.5 \text{ kg} \cdot \text{m}^2$. If the angular acceleration of the bat during the swing is $15 \text{ rad/s}^2$, what is the magnitude of the torque applied by the player to the bat?

Question 2

During a vertical jump, an athlete generates a peak vertical ground reaction force of $2500 \text{ N}$. If the athlete's mass is $75 \text{ kg}$ and the acceleration due to gravity is $9.81 \text{ m/s}^2$, what is the net upward acceleration of the athlete at the instant of peak force?

Question 3

A figure skater is performing a spin. Initially, their moment of inertia is $3.0 \text{ kg} \cdot \text{m}^2$ and their angular velocity is $5.0 \text{ rad/s}$. If they pull their arms in, reducing their moment of inertia to $1.2 \text{ kg} \cdot \text{m}^2$, what is their new angular velocity, assuming conservation of angular momentum?

Question 4

A long jumper has a mass of $70 \text{ kg}$ and generates a horizontal impulse of $280 \text{ N} \cdot \text{s}$ during takeoff. If their initial horizontal velocity is $0 \text{ m/s}$, what is their horizontal velocity immediately after takeoff?

Question 5

A shot putter applies a force of $F(t) = 1000 \sin(\frac{\pi t}{0.5})$ Newtons to a shot put over a time interval from $t=0$ to $t=0.5$ seconds. What is the total impulse imparted to the shot put during this interval?