A 60-kg swimmer suddenly dives horizontally from a 150-kg raft with a speed of 1. 5 m/s. The raft is initially at rest. What is the speed of the raft immediately after the diver jumps if the water has negligible effect on the raft?

Answers

Answer 1

The speed of the raft immediately after the diver jumps is 0.6 m/s.

After the swimmer jumps, the momentum of the system is still conserved, but it is no longer zero, since the swimmer is now moving. We can use the equation:

(m1v1 + m2v2)before = (m1v1 + m2v2)after

We want to solve for v2, velocity of the raft immediately after the jump.

Before jump, velocity of  raft is zero, so we can simplify  equation to:

m1v1 = m2v2

Substituting in  values we know, we get:

60 kg * 1.5 m/s = 150 kg * v2

Simplifying, we get:

v2 = (60 kg * 1.5 m/s) / 150 kg = 0.6 m/s

So the speed of the raft immediately after the diver jumps is 0.6 m/s.

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