Question

Stan does 1,923.4 J of work lifting himself 0.334 m. What is Stan’s mass? The acceleration of gravity is 9.8 m/s².

Options:
A. 80.1 kg
B. 92.6 kg
C. 105.3 kg
D. 120.2 kg

Answer 1

To find Stan's mass, divide the work done by the product of acceleration due to gravity and distance. Stan's mass is 196.4 kg.

Step-by-step explanation:

To find Stan's mass, we can use the formula for work: work = force x distance. In this case, the work done is 1,923.4 J and the distance is 0.334 m. Since the force is equal to weight, we can use the formula weight = mass x acceleration due to gravity. By rearranging this formula, mass = weight / acceleration due to gravity. Substituting the given values, we get:

mass = 1,923.4 J / (9.8 m/s²) = 196.4 kg

Therefore, Stan's mass is 196.4 kg.