Question

What force does a trampoline have to apply to a 45.0-kg gymnast to accelerate her straight up at 7.50 m/s2?

Answer 1

Answer:

Force required will be 337.5 N

Explanation:

We have given mass of the gymnast m = 45 kg

We have to find the force applied on the gymnast so that he can accelerate with acceleration of $7.50m/sec^2$

According to newtons law force on any object is given by F = ma , here m is mass and a is acceleration

So force on the gymnast will be equal to $F=45\times 7.50=337.5N$

For acceleration of 7.50m/sec^2 we have to apply a force of 337.5 N

Answer 2

Answer:

778.5 N

Explanation:

mass, m = 45 kg

acceleration, a = 7.5 m/s²

gravity, g = 9.8 m/s²

Let the force is F.

By Newton's second law

F - mg = ma

F = m ( g + a)

F = 45 ( 9.8 + 7.5)

F = 778.5 N

Thus, the required force is 778.5 N.