Home
Class 12
PHYSICS
A spring gun of spring constant 90 N/c...

A spring gun of spring constant 90 N/cm is compressed 12 cm by a ball of mass 16 g . If the trigger is pulled the velocity of the ball is

A

A)`50ms^(-1)`

B

B)`9ms^(-1)`

C

C)`40ms^(-1)`

D

D)`90ms^(-1)`

Text Solution

Verified by Experts

Kinetic energy of ball = potential energy of spring
ie , `(1)/(2)mv^(2)=(1)/(2)kx^(2)`
`therefore16xx10^(-3)xxv^(2)=(90)/(10^(-2))xx(12xx10^(-2))^(2)`
or `v^(2)=(90xx144xx10^(-4))/(10^(-2)xx16xx10^(-3))`
or `v=90ms^(-1)`
`U=(1)/(2)k(x_(2)^(2)-x_(1)^(2))`
`=(1)/(2)k(3^(2)-0^(2))`
`=(9)/(2)k=4.5k`
Promotional Banner

Similar Questions

Explore conceptually related problems

A spring having spring constant 1200 Nm^(-1) is mounted on a horizontal table as shown in figure. A mass of 3 kg is attached to the free end of the spring. The mass is the pulled sideways to a distance of 2.0 cm and released. Determine maximum acceleration of the mass.

A spring having spring constant 1200 Nm^(-1) is mounted on a horizontal table as shown in figure. A mass of 3 kg is attached to the free end of the spring. The mass is the pulled sideways to a distance of 2.0 cm and released. Determine the maximum speed of the mass.

A spring having spring constant 1200 Nm^(-1) is mounted on a horizontal table as shown in figure. A mass of 3 kg is attached to the free end of the spring. The mass is the pulled sideways to a distance of 2.0 cm and released. Determine the frequency of oscillations.