Calculate the kinetic energy, in Joules, possessed in each of the following scenarios and match with the correct answer. K.E. = 1/2 m v2
**Not all answers may be used.
Column A
1. _ 0.5 kg hockey sliding at 2 m/s
2. _ 75 kg man walking at 1.0 m/s.
3. _ 75 kg man running at 5.0 m/s.
4. _ 2000 kg Lamborghini cruising at 30 m/s
Column B
a. 75 joules
b. 187.5 joules
c. 937.5 joules
d. 37.5 joules
e. 90,000 joules
f. 1 joule
g. 900,000 joules
h. 2 joules
To calculate the kinetic energy for each scenario, we will use the formula:
Kinetic energy (K.E.) = 1/2 * mass (m) * velocity (v)^2
1. K.E. = 1/2 * 0.5 kg * (2 m/s)^2 = 1/2 * 0.5 kg * 4 m^2/s^2 = 1 J
2. K.E. = 1/2 * 75 kg * (1.0 m/s)^2 = 1/2 * 75 kg * 1 m^2/s^2 = 37.5 J
3. K.E. = 1/2 * 75 kg * (5.0 m/s)^2 = 1/2 * 75 kg * 25 m^2/s^2 = 937.5 J
4. K.E. = 1/2 * 2000 kg * (30 m/s)^2 = 1/2 * 2000 kg * 900 m^2/s^2 = 900,000 J
Matching the calculated values to the answers given:
1. _ 0.5 kg hockey sliding at 2 m/s --> f. 1 joule
2. _ 75 kg man walking at 1.0 m/s --> d. 37.5 joules
3. _ 75 kg man running at 5.0 m/s --> c. 937.5 joules
4. _ 2000 kg Lamborghini cruising at 30 m/s --> g. 900,000 joules