A girl is skipping rocks across a lake. One of the rocks accidentally ricochets off a toy boat initially at rest in the water (see the picture). The 0.150-kg rock strikes the boat at a velocity of 13 m/s, 15° below due east, and ricochets off at a velocity of 11 m/s, 12° above due east. If the boat has a mass of 1.10 kg and assuming the water and air offer no resistance in the x-direction find the following: Note: The boat cannot move down due to the buoyancy force. (a) The velocity of the boat after the impact. (b) If the impact took 0.025s to occur, what was the average force between the rock and the block (magnitude and direction)? East 11 m/s 15° 13 m/s --East 12° (c) How much energy is lost during the collision?

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Chapter1: Units, Trigonometry. And Vectors
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Problem 4
A girl is skipping rocks across a lake. One of the rocks accidentally ricochets off a toy boat initially
at rest in the water (see the picture). The 0.150-kg rock strikes the boat at a velocity of 13 m/s, 15°
below due east, and ricochets off at a velocity of 11 m/s, 12° above due east. If the boat has a mass
of 1.10 kg and assuming the water and air offer no resistance in the x-direction find the following:
Note: The boat cannot move down due to the buoyancy force.
(a) The velocity of the boat after the
impact.
(b) If the impact took 0.025s to
occur, what was the average
force between the rock and the
block (magnitude and direction)?
East
15°
11 m/s
13 m/s
--East
-East
12°
(c) How much energy is lost during the collision?
Transcribed Image Text:Problem 4 A girl is skipping rocks across a lake. One of the rocks accidentally ricochets off a toy boat initially at rest in the water (see the picture). The 0.150-kg rock strikes the boat at a velocity of 13 m/s, 15° below due east, and ricochets off at a velocity of 11 m/s, 12° above due east. If the boat has a mass of 1.10 kg and assuming the water and air offer no resistance in the x-direction find the following: Note: The boat cannot move down due to the buoyancy force. (a) The velocity of the boat after the impact. (b) If the impact took 0.025s to occur, what was the average force between the rock and the block (magnitude and direction)? East 15° 11 m/s 13 m/s --East -East 12° (c) How much energy is lost during the collision?
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