3) A 23000 N surface and collides with a light spring-loaded guardrail. Assume a

Question

3) A 23000 N surface and collides with a light spring-loaded guardrail. Assume a spring constant of 9.0 10 N/m. (a) Neglecting any losses due to friction, and ignoring the rotational kinetic energy of the wheels, find the car starts at rest and rolls down a hill from a height of 15.0 m. It then moves across a level maximum distance the spring is compressed. (b) Caleulate the maximum acceleration of the car after contact with the spring, assuming no frictional losses. (c) If the spring is compressed by only 0.5 m, find the change in the mechanical energy due to friction. Fs. KAx, F= ma. 150 m

Explanation / Answer

a) let the spring is compressed is x

Using conservation of energy

23000 * 15 - 0.50 * 9 *10^6 * x^2 = 0

solving for x

x = 0.277 m

the maximum compression in the spring is 0.277 m

b)

for the maximum acceleration

m * a = k * x

23000/9.8 * a = 9 *10^6 * 0.277

a = 1061.8 m/s^2

the acceleration is 1061.8 m/s^2

c)

this is not possible , as the maximum compression in the spring is 0.277 m

there is some problem with this data in the problem.

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