i) Define Kinetic energy. Derive an expression for the kinetic energy of an object.
ii) The power of a moter pump is 5kW. How much water per minute the pump can raise to height of 20m? take g=10 ms-2
Dear Student
Energy by virtue of its motion is called as kinetic energy. An object that has motion, whether it may be vertical or horizontal motion, has kinetic energy. Kinetic energy depends on mass (m) of the object and speed (v) of the object. The equation used to represent kinetic energy is:
KE = ½ mv2
Derivation of the formula :-
Let a body of mass m be moving with a uniform velocity u. Let an external force be applied on it so that it displaces a distance s and its velocity becomes v.
We have velocity-position relation as
v 2=u 2+ 2as
where,a→ acceleration of the body during the change of velocity
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