Question

You weigh 655 N and step on a trampoline, and it decompresses 27.1 cm.

Option 1: Calculate the force exerted on the trampoline.
Option 2: Determine the spring constant of the trampoline.
Option 3: Find the acceleration you experience when jumping on the trampoline.
Option 4: Estimate the maximum height you can reach when jumping on the trampoline.

Answer 1

To calculate the force exerted on the trampoline, we can use Newton's second law of motion. In this case, if you weigh 655 N and are accelerating upwards at 7.50 m/s², the force exerted on the trampoline would be approximately 497 N.

Step-by-step explanation:

To calculate the force exerted on the trampoline, we can use Newton's second law of motion, which states that force is equal to mass times acceleration. In this case, the acceleration is the rate at which you are accelerating upwards, and the mass is your weight divided by the acceleration due to gravity. So the force exerted on the trampoline is given by the equation:

Force = (Weight / g) * acceleration

where Weight is your weight in newtons, g is the acceleration due to gravity (approximately 9.8 m/s²), and acceleration is the acceleration upwards in m/s².

In this case, if you weigh 655 N and are accelerating upwards at 7.50 m/s², the force exerted on the trampoline would be:

Force = (655 N / 9.8 m/s²) * 7.50 m/s² ≈ 497 N.