At what position x of the block is its speed a maximum? b) (b) In the What If? s

Question

At what position x of the block is its speed a maximum? b) (b) In the What If? section of this example (Part c) of above example, we explored the effects of an increased friction force of 10.0 N. At what position of the block does its maximum speed occur in this situation? 8. A 4.00-kg particle is subject to a total force that varies with position as shown in Figure p8. The particle starts from rest at x = 0. What is its speed at (a) x = 5.00m, (b) x = 10.0m, (c) x = 15.0 m? 9. The launching mechanism of a toy gun consists of a spring of unknown spring constant (see figure P9). When the spring is compressed 0.120 m, the gun, when fired vertically, is able to launch a 35.0 g ball to a maximum height of 20.0 m above the position of the projectile before firing.

Explanation / Answer

we know that net work done = change in KE

a)

3x5x0.5 = 0.5 m v^2

v = 1.936 m/sec

b)

3x5x(1.5) = 0.5 mV1^2

V1 = 3.354 m/sec

c)

3x5x2 = 0.5mV2^2

V2 = 3.87m/sec

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