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.90,000 joules
b.187.5 joules
c.900,000 joules
d.937.5 joules
e.2 joules
f.1 joule
g.75 joules
h.37.5 joules
WRONG.
f
h
d
c
To calculate the kinetic energy for each scenario, we need to use the formula:
K.E. = 1/2 m v^2
Let's calculate the kinetic energy for each scenario:
1. For a 0.5 kg hockey sliding at 2 m/s:
K.E. = 1/2 * 0.5 kg * (2 m/s)^2
= 1/2 * 0.5 kg * 4 m^2/s^2
= 0.5 * 2 Joules
= 1 Joule
So, the answer for scenario 1 is f.1 joule.
2. For a 75 kg man walking at 1.0 m/s:
K.E. = 1/2 * 75 kg * (1.0 m/s)^2
= 1/2 * 75 kg * 1 m^2/s^2
= 37.5 Joules
So, the answer for scenario 2 is h.37.5 joules.
3. For a 75 kg man running at 5.0 m/s:
K.E. = 1/2 * 75 kg * (5.0 m/s)^2
= 1/2 * 75 kg * 25 m^2/s^2
= 937.5 Joules
So, the answer for scenario 3 is d.937.5 joules.
4. For a 2000 kg Lamborghini cruising at 30 m/s:
K.E. = 1/2 * 2000 kg * (30 m/s)^2
= 1/2 * 2000 kg * 900 m^2/s^2
= 900,000 Joules
So, the answer for scenario 4 is c.900,000 joules.
Therefore, the matched answers are as follows:
1. Scenario 1 is matched with f.1 joule.
2. Scenario 2 is matched with h.37.5 joules.
3. Scenario 3 is matched with d.937.5 joules.
4. Scenario 4 is matched with c.900,000 joules.
To calculate the kinetic energy (K.E.) in Joules using the formula K.E. = 1/2 mv^2, we need the mass (m) in kilograms and the velocity (v) in meters per second.
1. For the 0.5 kg hockey sliding at 2 m/s:
K.E. = 1/2 * 0.5 kg * (2 m/s)^2
= 1/2 * 0.5 kg * 4 m^2/s^2
= 0.5 J
Hence, the correct answer is: f.1 joule
2. For the 75 kg man walking at 1.0 m/s:
K.E. = 1/2 * 75 kg * (1.0 m/s)^2
= 1/2 * 75 kg * 1 m^2/s^2
= 37.5 J
Hence, the correct answer is: h.37.5 joules
3. For the 75 kg man running at 5.0 m/s:
K.E. = 1/2 * 75 kg * (5.0 m/s)^2
= 1/2 * 75 kg * 25 m^2/s^2
= 937.5 J
Hence, the correct answer is: d.937.5 joules
4. For the 2000 kg Lamborghini cruising at 30 m/s:
K.E. = 1/2 * 2000 kg * (30 m/s)^2
= 1/2 * 2000 kg * 900 m^2/s^2
= 900,000 J
Hence, the correct answer is: c.900,000 joules
Match the calculated kinetic energy values with the corresponding answers in Column B:
1. f.1 joule
2. h.37.5 joules
3. d.937.5 joules
4. c.900,000 joules
1. d. 937.5 joules
2. g. 75 joules
3. h. 37.5 joules
4. c. 900,000 joules