3.1 Translational Kinetic Energy

• What is Translational Kinetic Energy?

  Energy due to straight motion
• Translational Kinetic Energy increases with both mass and velocity.


  True
• Order the variables in the Translational Kinetic Energy formula based on their units from smallest to largest:

  1️⃣ Velocity (m/s)

  2️⃣ Mass (kg)

  3️⃣ Kinetic Energy (J)
• The formula for Translational Kinetic Energy is KE = 1/2mv^2
• A 5 kg ball rolling at 3 m/s has what kinetic energy?

  22.5 J
• A 5 kg ball rolling at 3 m/s has a kinetic energy of 22.5 J.


  True
• Which variable in the KE formula is measured in kilograms?

  Mass
• A car with a mass of 1000 kg moving at 20 m/s has what kinetic energy?

  200,000 J
• What does the kinetic energy of a projectile determine in projectile motion?

  Distance and force
• The kinetic energy of a moving vehicle is important for understanding braking distances
• The formula for translational kinetic energy is KE = $\frac{1}{2}mv^{2}$
• Mass is measured in kilograms
• Understanding the variables in the kinetic energy formula is crucial for analyzing the motion of objects
• Determining kinetic energy in collisions helps evaluate the impact force
• The kinetic energy of a projectile influences its range and impact force.


  True
• What are two forms of energy that translational kinetic energy can be converted into?

  Electrical and thermal
• A 5 kg ball is rolling at 3 m/s. What is its kinetic energy?

  22.5 J
• Match the type of kinetic energy with its motion and example:

  Translational KE ↔️ Linear motion; ball rolling

  Rotational KE ↔️ Circular motion; spinning top
• Understanding translational and rotational kinetic energy is crucial for studying energy storage in moving objects.


  True
• Translational Kinetic Energy increases with both mass and velocity.
• Match the variable with its symbol and units:

  Kinetic Energy ↔️ KE ||| Joules (J)

  Mass ↔️ m ||| kilograms (kg)

  Velocity ↔️ v ||| meters per second (m/s)
• Translational Kinetic Energy is used in collision analysis to determine the force of impact.


  True
• Order the variables in the Translational Kinetic Energy formula based on their units from smallest to largest:

  1️⃣ Velocity (m/s)

  2️⃣ Mass (kg)

  3️⃣ Kinetic Energy (J)
• The kinetic energy of a projectile determines how far it can travel
• The unit of kinetic energy is Joules
• A 5 kg ball rolling at 3 m/s has a kinetic energy of 22.5 J.


  True
• What is the purpose of determining kinetic energy in collision analysis?

  Evaluate impact force
• Match the application of translational kinetic energy with its example:

  Collision Analysis ↔️ Estimating force on a guardrail

  Projectile Motion ↔️ Calculating baseball travel distance

  Vehicle Dynamics ↔️ Analyzing braking distance

  Sports and Recreation ↔️ Assessing tennis serve force
• The unit for translational kinetic energy is Joules
• Translational kinetic energy increases with both mass and velocity.


  True
• The formula for rotational kinetic energy uses moment of inertia
• Match the variable with its symbol and units:

  Kinetic Energy ↔️ KE ||| Joules (J)

  Mass ↔️ m ||| kilograms (kg)

  Velocity ↔️ v ||| meters per second (m/s)
• The formula for Translational Kinetic Energy is KE = 1/2mv^2, where KE is measured in Joules.
• What are the units of Translational Kinetic Energy?

  Joules
• Velocity in the Translational Kinetic Energy formula is squared because kinetic energy increases exponentially with speed.
• Calculating Translational Kinetic Energy in collisions helps determine the force of impact.
• Calculating the kinetic energy of objects in collisions helps determine the force of impact.


  True
• Kinetic energy increases with both mass and velocity.


  True
• Velocity is measured in meters per second.

  True
• The units of translational kinetic energy are derived from mass in kilograms and velocity in meters per second