What is v^2 in the energy problem with W=12 J and m=2 kg?

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Multiple Choice

What is v^2 in the energy problem with W=12 J and m=2 kg?

Explanation:
The work-energy relationship says the work done on an object equals its gain in kinetic energy. If the object starts from rest, W = (1/2) m v^2. With W = 12 J and m = 2 kg, v^2 = 2W/m = (2×12)/2 = 12. So v^2 is 12 (in units of m^2/s^2). If it didn’t start from rest, the general form would be W = (1/2) m (v^2 − u^2), but here the starting speed is taken as zero.

The work-energy relationship says the work done on an object equals its gain in kinetic energy. If the object starts from rest, W = (1/2) m v^2. With W = 12 J and m = 2 kg, v^2 = 2W/m = (2×12)/2 = 12. So v^2 is 12 (in units of m^2/s^2). If it didn’t start from rest, the general form would be W = (1/2) m (v^2 − u^2), but here the starting speed is taken as zero.

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