Question

name:____________________
hour:__date:_______
directions: solve each problem then color in the answer on the color - by - number page on the back.
kinetic energy
kinetic energy = ½ (mass) x (velocity)²
mass: 10 kg
velocity: 3 m/s
kinetic energy =
mass: 12 kg
velocity: 3 m/s
kinetic energy =
mass: 50 kg
velocity: 2 m/s
kinetic energy =
mass: 4 kg
velocity: 5 m/s
kinetic energy =
mass: 7 kg
velocity: 2 m/s
kinetic energy =
mass: 40 kg
velocity: 5 m/s
kinetic energy =
mass: 20 kg
velocity: 10 m/s
kinetic energy =
mass: 50 kg
velocity: 1 m/s
kinetic energy =
mass: 20 kg
velocity: 9 m/s
kinetic energy =
mass: 22 kg
velocity: 3 m/s
kinetic energy =
mass: 84 kg
velocity: 1 m/s
kinetic energy =
mass: 18 kg
velocity: 2 m/s
kinetic energy =

Explanation:

Step1: Recall the kinetic energy formula

The formula for kinetic energy is \( KE=\frac{1}{2}mv^{2} \), where \( m \) is the mass in kilograms and \( v \) is the velocity in meters per second.

Step2: Calculate for each case

• First row left: \( m = 10\space kg\), \(v = 3\space m/s\). \(KE=\frac{1}{2}\times10\times3^{2}= 45\space J\)
• First row right: \( m = 12\space kg\), \(v = 3\space m/s\). \(KE=\frac{1}{2}\times12\times3^{2}= 54\space J\)
• Second row left: \( m = 50\space kg\), \(v = 2\space m/s\). \(KE=\frac{1}{2}\times50\times2^{2}= 100\space J\)
• Second row right: \( m = 4\space kg\), \(v = 5\space m/s\). \(KE=\frac{1}{2}\times4\times5^{2}= 50\space J\)
• Third row left: \( m = 7\space kg\), \(v = 2\space m/s\). \(KE=\frac{1}{2}\times7\times2^{2}= 14\space J\)
• Third row right: \( m = 40\space kg\), \(v = 5\space m/s\). \(KE=\frac{1}{2}\times40\times5^{2}= 500\space J\)
• Fourth row left: \( m = 20\space kg\), \(v = 10\space m/s\). \(KE=\frac{1}{2}\times20\times10^{2}= 1000\space J\)
• Fourth row right: \( m = 50\space kg\), \(v = 1\space m/s\). \(KE=\frac{1}{2}\times50\times1^{2}= 25\space J\)
• Fifth row left: \( m = 20\space kg\), \(v = 9\space m/s\). \(KE=\frac{1}{2}\times20\times9^{2}= 810\space J\)
• Fifth row right: \( m = 22\space kg\), \(v = 3\space m/s\). \(KE=\frac{1}{2}\times22\times3^{2}= 99\space J\)
• Sixth row left: \( m = 84\space kg\), \(v = 1\space m/s\). \(KE=\frac{1}{2}\times84\times1^{2}= 42\space J\)
• Sixth row right: \( m = 18\space kg\), \(v = 2\space m/s\). \(KE=\frac{1}{2}\times18\times2^{2}= 36\space J\)

Answer:

45 J, 54 J, 100 J, 50 J, 14 J, 500 J, 1000 J, 25 J, 810 J, 99 J, 42 J, 36 J