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Answer :
Final answer:
The trampoline will stretch by 9 meters when Jack lands on it.
Explanation:
To calculate the stretch of the trampoline when Jack lands on it, we can use Hooke's Law. Hooke's Law states that the force exerted by a spring is directly proportional to the displacement of the spring from its equilibrium position.
First, let's calculate the force exerted by Jack on the trampoline. The force can be calculated using the formula:
Force = Spring Constant * Displacement
Given that the spring constant of the trampoline is 215 N/m and Jack's mass is 42 kg, we can calculate the force:
Force = 215 N/m * 9 m = 1935 N
Now, we can use Hooke's Law to calculate the stretch of the trampoline. Hooke's Law can be rearranged as:
Displacement = Force / Spring Constant
Substituting the values, we get:
Displacement = 1935 N / 215 N/m = 9 m
Therefore, the trampoline will stretch by 9 meters when Jack lands on it.
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