A13,000 n car starts at rest and rolls down a hill from a height of 10 m. it then moves across a level surface and collides with a light spring-loaded guardrail. neglecting any losses due to friction, find the maximum distance the spring is compressed. assume a spring constant k of 1.0x106 n/m (0.50 m)

To solve this problem it is necessary to apply the concepts related to the conservation of kinetic and potential energy, that is to say

Where,

KE = Kinetic Energy

PE = Potential Energy (in a Spring)

Using the expression we have that

Here,

k = Spring constant

x = Displacement

m = mass

g = Gravitational acceleration

h = Height

Re-arrange to find the displacement,

Therefore the maximum distance the spring is compressed around to 0.5m

the area between the graph and the t axis

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