why the force required to start a motion is maximum as compared to the force required to keep a body in motion
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The force required to start an object moving from stationary is greater because you are overcoming friction and inertia. An object at rest tends to stay at rest unless acted upon by an outside force. Once it is moving, an object in motion tends to stay in motion, unles acted upon by an outside force.
The friction in the cart would be from the bearings on the wheels, and the contact of the wheels to the ground, for example. The inertia is its tendency to remain in its current state of moving or stationary and the resistance to changing that state.
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The objects move in the direction the force applied. If the applied force is not sufficient, the object may not move. For example, if you try to push a tree it will not move.
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