1) A 50 g block is released from rest and slides down a frictionless track that

Question

1) A 50 g block is released from rest and slides down a frictionless track that begins 1.2 m above the horizontal, as shown in the figure. At the bottom of the track, where the surface is horizontal, the block strikes and sticks to a light spring with a spring constant of 38 N/m.

Find the maximum distance the spring is compressed. The acceleration due to gravity is 9.8 m/s 2 . Answer in units of m

2)Tarzan needs to cross a river. He grabs the lower end of a 19 m long vine initially hanging at 48? from the vertical and pushes off with initial speed 11 m/s. What is Tarsan

Explanation / Answer

1) CONSERVATION OF ENERGY

initial gravitational potential energy = mgh = final spring potential energy = 1/2 k x^2

for distance , X = sqrt ( 2mgh / k)

X = 2 * 0.05 * 9.8 * 1.2 / 38 = 0.0309 km = 30.9 km

2) we know the relation

V^2 - U^2 =2 gh

V^2 = U^2 +2gh

V = sqrt ( U^2 +2gh) and

h = I cos tetha

V = sqrt ( 11^2 + 2* 9.8* 19 cos 48)

V = 19.2 m/s

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