Home
Class 11
PHYSICS
A 15 gm ball is shot from a spring whose...

A `15 gm` ball is shot from a spring whose spring has a force constant of `600 N//m`. The spring is compressed by `5 cm`. The greater possible horizontal range of the ball for this compression is

A

6 m

B

8 m

C

10 m

D

12 m

Text Solution

Verified by Experts

The correct Answer is:
C
Here, `R_("max")=u^2/g=1/2m u^2 xx 2/(mg)`
But `1/2 m u^(2) =1/2 kx^2`
`therefore R_("max")=1/2 kx^2 xx 2/(mg) =(kx^2)/(mg)=(600xx(0.05)^2)/(0.015xx10)=10 m`
Promotional Banner

Topper's Solved these Questions

  • WORK , ENERGY AND POWER

    NCERT FINGERTIPS|Exercise Various Forms Of Energy : The Law Of Conservation Of Energy|6 Videos

  • WORK , ENERGY AND POWER

    NCERT FINGERTIPS|Exercise Power|13 Videos

  • WORK , ENERGY AND POWER

    NCERT FINGERTIPS|Exercise The Conservation Of Mechanical Energy|12 Videos

  • WAVES

    NCERT FINGERTIPS|Exercise Assertion And Reason|15 Videos

Similar Questions

Explore conceptually related problems

A toy gun uses a spring of spring constant 1000 N/m . If spring is compressed by an amount 10 cm before fire then how high can be bullet be fired if mass of each bullet is 10 g .

In the two block spring system, force constant of spring is k = 6N/m. Spring is stretched by 12 cm and then left. Match the following.

A spring gun has a spring constant of 80Ncm^(-1) . The spring is compressed 12cm by a ball of mass 15g . How much is the potential energy of the spring ? If the trigger is pulled, what will be the velocity of ball ?

When a spring is compressed by 0.05 m a restoring force of 10 N is developed in it. Then the force constant of the spring is

A ball of mass 4kg, moving with a velocity of 10ms^(-1) , collides with a spring of length 8m and force constant 100Nm^(-1) . The length of the compressed spring is x m. The value of x, to the nearest integer, is ...........

A body of mass 0.1 g moving with a velocity of 10 m/s hits a spring (fixed at the other end) of force constant 1000 N/m and comes to rest after compressing the spring. The compression of the spring is

A block of mass m initially at rest is dropped from a height h on to a spring of force constant k . the maximum compression in the spring is x then