Explain the principle behind wind up toys .A cat and a mouse are running with the same speed .If the weight of the cat is 20 times the weight that of mouse.What is the ratio of their kinetic energy?
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1.Principle involved in winding up Key:
Law of conservation of energy
when you wind up the toy, the muscular energy from our body is transferred into toy's spring and stored as Elastic potential energy. When the key is released the potential energy converts into kinetic energy and does some work.
2. Given:
speed of cat = speed of a mouse
let m be the mass of mouse
mass of cat=20m
K. E=1/2mv²
K.E of cat=1/2(20m) x v ²=10mv²
Ratio of Kinetic energy =1/2 mv²/10mv²=1/20
Law of conservation of energy
when you wind up the toy, the muscular energy from our body is transferred into toy's spring and stored as Elastic potential energy. When the key is released the potential energy converts into kinetic energy and does some work.
2. Given:
speed of cat = speed of a mouse
let m be the mass of mouse
mass of cat=20m
K. E=1/2mv²
K.E of cat=1/2(20m) x v ²=10mv²
Ratio of Kinetic energy =1/2 mv²/10mv²=1/20
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