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A 43.0-kg child finds himself trapped on the surface of a frozen lake, 10.0 m fr

ID: 1428290 • Letter: A

Question

A 43.0-kg child finds himself trapped on the surface of a frozen lake, 10.0 m from the shore. The child slips with each step on the frictionless ice and remains the same distance from the shoreline. Egged on by his parents, he throws a 0.600-kg ball he is carrying toward the center of the lake with a horizontal speed of 1.75 m/s, in the direction opposite that of the shoreline. (The speed of the ball is relative to the lake.)

(a) Does the act of throwing the ball cause the child to move? If so, what are the speed and the direction of his motion with respect to the Earth? (If not, enter 0 for the child's speed. Assume the friction due to the ice is neglible.)

speed =????m/s

direction ?????

(b) What are the forces acting on the child when he throws the ball? (Select all that apply.)

a-the ball pushing back on the child

b-the force of gravity

c-the normal force from the ice

d-the child pushing on the ball

Explanation / Answer

we need to apply conservation of momentum to find the speed of boy wen n=he throws the ball

43( v) + 0.6( 1.75) =0

43v = - 1.05

v ( speed of boy) = -0.0244 m/s ( direction will opposite to the direcion in which ball is thrown)

a-the ball pushing back on the child

b-the force of gravity

c-the normal force from the ice

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