. A 20 kg mass is moving at a speed of 5 m/s toward a spring. Assuming that the

Question

. A 20 kg mass is moving at a speed of 5 m/s toward a spring. Assuming that the spring constant k -100 N/m, what is the maximum deflection of the spring? (Hint: relate the energy of the moving mass to the energy of the compressed spring.) 20. Which object will hit the ground in the shortest time: 1) an object dropped from height H, 2) an object starting at height H, sliding down a frictionless ramp inclined at 30 degrees, 3) an object starting at height H, sliding down a frictionless "rollercoaster" with an average incline of 10 degrees?

Explanation / Answer

19.

Given that,

m = 20 kg

v = 5 m/s

k = 100 N/m

Let, maximum deflection in spring = x

From law of energy conservation,

KE of object = PE of spring

(1/2)mv^2 = (1/2)kx^2

20*5^2 = 100*x^2

x = 2.23 m

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