Question

What force does a trampoline have to apply to a 45.0 , {kg} gymnast to accelerate her straight up at 7.50 , {m/s}²? Note that the answer is independent of the velocity of the gymnast—she can be moving either up or down, or be stationary.

The force applied by the trampoline to the gymnast is approximately:
a) 337.5 , {N}
b) 506.3 , {N}
c) 675.0 , {N}
d) 843.8 , {N}

Answer 1

The force that a trampoline has to apply to a 45.0 kg gymnast to accelerate her straight up at 7.50 m/s² is 337.5 N.

Step-by-step explanation:

The force that a trampoline has to apply to a 45.0 kg gymnast to accelerate her straight up at 7.50 m/s² can be calculated using Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a).

So, F = m * a = 45.0 kg * 7.50 m/s² = 337.5 N.

Therefore, the force applied by the trampoline to the gymnast is 337.5 N.