Home
Class 9
PHYSICS
A 1 kg mass is projected down a rough ci...

A 1 kg mass is projected down a rough circular track (radius=2.0 m) placed in vertical plane as shown. The speed of the mass at point A is 3 m/s and at point B, it is 6.0 m/s. How much work is done on the mass between A and B by the force of friction?

A

`-7.5 J`

B

`-8.5 J`

C

`-6.5 J`

D

`-24 J`

Text Solution

Verified by Experts

The correct Answer is:
c
Conservation of energy principle
HE at `A=1/2 xx 1.0 xx 3.0_(2)=4.5 J`
Loss in PE between A and B =1.0 xx 10 xx 2 =20 J.
Gain in KE from A to B if there had been no friction =20 J
But actual KE at B `=1/2 xx 1.0 xx 6^(2)=18 J`
Loss in energy due to friction `=24.5-18=6.5 J`
Promotional Banner

Topper's Solved these Questions

  • FRICTION

    CENGAGE PHYSICS|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES (Read the given statements and select the correct option.)|1 Videos

  • FRICTION

    CENGAGE PHYSICS|Exercise CHALLENGING EXERCISE|3 Videos

  • ELASTICITY

    CENGAGE PHYSICS|Exercise OLYMPIAD AND NTSE LEVEL EXERCISES|10 Videos

  • SOUND

    CENGAGE PHYSICS|Exercise OLYMPIAD AND NTSE LEVEL EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

A 1 kg mass is projected down a rough circule track (redius = 2.0 m) placed in vertical plane as shown. The speed of the massat point A is 3 m//s and at point B , it is 6.0 m//s . How much is work is done on the mass between A and B by the force of friction?

A car of mass 300 kg is travelling on a circular track of radius 100 m with a constant speed of 60 m/s Calculate the angular momentum ?

Three identical point mass each of mass 1kg lie in the x-y plane at point (0,0), (0,0.2m) and (0.2m, 0). The net gravitational force on the mass at the origin is

An object of mass 4 kg falls from rest through a vertical distance of 20 m and reaches with velocity of 10 (m)//(s) on ground. How much work is done by air friction?

A block of mass m=1 kg has a speed v = 4 m//s at theta = 60^(@) on a circular track of radius R = 2 m as shown in figure. Size of the block is negligible. Coefficient of friction between block and the track is mu = 0.5 . The force of friction between the two is

A car is moving on a circular track of diameter 72 m with a speed of 6 m/s . It is acclereration at the rate of sqrt(3) m//s^(2) If the mass of the car is 1000 kg , the net force acting on the car is :

A body of mass 10kg is at height of 10m at point A as shown on a smooth track. Find speed at B.