Answer :
Lucy, with a mass of 60 kg will be moving at a speed of 14 m/s just prior to hitting the trampoline.
First, let's figure out Lucy's potential energy when she jumps off the window.
The formula for the potential energy (PE) is mass (m) times height (h) times the gravitational constant (g), which is approximately 9.8 m/s².
Given:
m = 60 kg
h = 10 m
g = 9.8 m/s²
We multiply these three values together:
PE = m * g * h
= 60 kg * 10 m * 9.8 m/s²
= 5880 J (joules)
So the potential energy Lucy has when she jumps from the windows is 5880 J.
As she falls, all this potential energy will be converted into kinetic energy.
Kinetic energy (KE) is given by the formula 0.5 * m * v², where v is the velocity we want to calculate.
Since the kinetic energy equals the potential energy at just before she hits the trampoline, we can equate the two forms of energy to solve for the velocity:
0.5 * m * v² = PE
v² = 2 * PE / m
= 2 * 5880 J / 60 kg
= 196 (m²/s²)
To get the velocity (v) itself, we take the square root of the above value:
v = sqrt(196)
= 14 m/s
So speed = 14 m/s
To know more about potential visit :
brainly.com/question/29126178
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