The car travels 25 miles in the first 0.5 hours
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Hi there!
We can use the following:
W = ΔKE = F · d
Find the work done on the cart:
W = 200 · 10 = 2000 J
Now, this is equal to the change in kinetic energy of the object. Its initial kinetic energy is 0 J since it starts from rest, so:
2000J = KEf - KEi
KE is given as:
2000J = 1/2(55)v²
4000 = 55v²
√(4000/55) = 8.53 m/s
Elastic potential energy is given by:
Where k is the spring constant in N/m and x is displacement from equilibrium position in m. Evaluating:
A/ The potential energy is stored in the spring is 44.1 J.
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