1. What force is needed to accelerate a child on a sled( total mass `= 60.0 kg` ) at `1.25 m//s^2`?
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2. Two person push a `15.0`-`kg`-cart at same time from opposite side as shown below. When the left person uses `25.0\ N` force to push the box, the box is moving toward right with an acceleration of `1.00\ m//s^2`. What is the force push by the person on the right?
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3. How much tension must a rope withstand if it is used to accelerate a `100`-`kg` box vertically upward at `0.50\ m//s^2`. (use `g=-10\ m//s^2`)
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4. A 25.0-kg block is initially at rest on a horizontal surface. A horizontal force of 75.0 N is required to set the block in motion, after which a horizontal force of 60.0 N is required to keep the block moving with constant speed. Find (a) the coefficient of static friction and (b) the coefficient of kinetic friction between the block and the surface.
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5. Construct free-body diagrams for the various situations described below: a)An egg is free-falling from a nest in a tree. Neglect air resistance. Diagram the forces acting on the egg as it is falling. b)A flying squirrel is gliding (no wing flaps) from a tree to the ground at constant velocity. c)A rightward force is applied to a book in order to move it across a desk with a rightward acceleration. d)A 45° right-down-ward force is applied to a book in order to move it across a desk with a constant speed.
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6. A `10`-`kg` box rests on the inclined plane shown below. a) Draw a free-body diagram of the box. b) Determine the friction force between the box and inclined plane.
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