Work Energy & Power
A spring of spring constant 5×103N/m is stretched initially by 5 cm from the unstretched position. The work required to further stretch the spring by another 5 cm is .
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An open knife of mass m is dropped from a height h on a wooden floor. If the blade penetrates up to the depth d into the wood. The average resistance offered by the wood to the knife edge is to the depth d into the wood, the average resistance offered by the wood to the knife edge is .
Under the action of a force, a 2kg body moves such that its position x as a function of time is given by x=3t3 where x is in metre and t in second. The work done by the force in the first two seconds is .
A bead of mass displaystylefrac12kg starts from rest from A to move in a vertical place along a smooth fixed quarter ring of radius displaystyle5m, under the action of a constant horizontal force displaystylef=5N as shown. The speed of bead as it reaches the point (B) is [Take displaystyleg=10ms−2]