Question

A weightlifter can exert an upward force of 3750 N. If a dumbbell has a mass of 225 kg, what is the maximum number of dumbbells this weightlifter could hold simultaneously if he were on the Moon? (The Moon's acceleration due to gravity is approximately 0.166 times freefall acceleration on Earth.) The weightlifter cannot pick up a fraction of a dumbbell, so make sure your answer is an integer.

Answer 1

Answer:

10 dumbbells

Explanation:

First we need to calculate the gravity on the moon.

0.166 x 9.8 m/s² = 1.627 m/s²  (the gravity is 0.166 times the Earth's gravity)

Taking this acceleration due to gravity, and multiplying it by the mass of a single dumbbell.

F = m x a

F = (225 kg) x (1.627 m/s²)

F = 366.075 N  (the amount of force exerted by the dumbbell)

Taking the weightlifter's total upward force and dividing it by the force exerted by one dumbbell, we can calculate the amount of dumbbells that can be carried.

(3750 N) / (366.075 N)

= 10.24 dumbbells  (but since there cannot be a fraction of a dumbbell, the answer is 10 dumbbells).