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:
0.5 kg hockey sliding at 2 m/s
2.
75 kg man walking at 1.0 m/s.:
75 kg man walking at 1.0 m/s.
3.
75 kg man running at 5.0 m/s.:
75 kg man running at 5.0 m/s.
4.
2000 kg Lamborghini cruising at 30 m/s:
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
1. b. 187.5 joules
2. h. 37.5 joules
3. d. 937.5 joules
4. c. 900,000 joules
To calculate the kinetic energy, we can use the formula
K.E. = (1/2) * m * v^2
where
K.E. = kinetic energy in Joules
m = mass in kg
v = velocity in m/s
Let's plug in the values and calculate the kinetic energies for each scenario:
1. 0.5 kg hockey sliding at 2 m/s:
K.E. = (1/2) * 0.5 kg * (2 m/s)^2
= 0.5 * 0.5 kg * 4 m^2/s^2
= 1 Joule
2. 75 kg man walking at 1.0 m/s:
K.E. = (1/2) * 75 kg * (1.0 m/s)^2
= 0.5 * 75 kg * 1 m^2/s^2
= 37.5 Joules
3. 75 kg man running at 5.0 m/s:
K.E. = (1/2) * 75 kg * (5.0 m/s)^2
= 0.5 * 75 kg * 25 m^2/s^2
= 937.5 Joules
4. 2000 kg Lamborghini cruising at 30 m/s:
K.E. = (1/2) * 2000 kg * (30 m/s)^2
= 0.5 * 2000 kg * 900 m^2/s^2
= 900,000 Joules
Now let's match the calculated kinetic energies with the correct answers in Column B:
1. 0.5 kg hockey sliding at 2 m/s: f. 1 joule
2. 75 kg man walking at 1.0 m/s: h. 37.5 joules
3. 75 kg man running at 5.0 m/s: d. 937.5 joules
4. 2000 kg Lamborghini cruising at 30 m/s: c. 900,000 joules