A small mass attached to a string rotates on a frictionless table top as shown. If the tension on the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will
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a)
Increase by a factor of 4
b)
Decrease by a factor of 2
c)
Remain constant
d)
Increase by a factor of 2
a)
Increase by a factor of 4
b)
Decrease by a factor of 2
c)
Remain constant
d)
Increase by a factor of 2
Question ID - 52969 | SaraNextGen Top Answer A small mass attached to a string rotates on a frictionless table top as shown. If the tension on the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will
a)
Increase by a factor of 4
b)
Decrease by a factor of 2
c)
Remain constant
d)
Increase by a factor of 2
A small mass attached to a string rotates on a frictionless table top as shown. If the tension on the string is increased by pulling the string causing the radius of the circular motion to decrease by a factor of 2, the kinetic energy of the mass will
|
a) |
Increase by a factor of 4 |
b) |
Decrease by a factor of 2 |
c) |
Remain constant |
d) |
Increase by a factor of 2 |
|
(a)
K.E’. K.E. is increased by a factor of 4 |
From angular momentum conservation about centre
constant
K.E.