Home
Class 11
PHYSICS
A body of 2 kg has an initial speed 5 m...

A body of 2 kg has an initial speed `5 ms^(-1)` . A force acts on its for some time in the direction of motion. The force time graph is shown in figure . The final speed of the body.

A

`9.25 ms^(-1)`

B

`5 ms^(-1)`

C

`14.31 ms^(-1)`

D

`4.25 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Impulse (I) = area under F – t graph
` = (1)/(2) xx 2 xx4 + 2xx4 + (1)/(2) ( 0.5) (4+2.5) + 2 xx 2.5`
` = 4+8+1.625 + 5 = 18.625`
Now, Impulse (I) = Change in moment
18.625 = `m (v_(f) - v_(i))`
`rArr v_(f) = v_(i) + (18.625)/(2) = 5+(18.625)/(2)`
`v_(f) = v_(i) + (18.625)/(2) = 5 + (18.625)/(2)`
`v_(f) = 14.31 m//s`
Promotional Banner

Similar Questions

Explore conceptually related problems

A body of mass 2kg has an initial speed 5 ms^(-1) . A force acts on it for 8.5 seconds in the direction of motion. The force time graph is shown in figure. The final speed of the body is

A body of mas 2kg has an initial speed 5ms^(-1) A force acts on it for some time in the direction of motion The force-time graph is shown. Find the final speed of the body .

A body of 2kg has an initial speed 5ms^(-1) . A force acts on it for some time in the direction of motion. The force time graph is shown in figure. The force time graph is shown in figure. The final speed of the body is

The initial speed of a body of mass 2kg is 5ms^(-1) A force acts for 4 seconds in the direction of motion of the body. The force time graph is shown in Calculate impulse of the force and also find the speed of the body . .

For body of 50 kg. mass, the velocity time graph is shown in figure. Then force acting on the body is :-

A particle of mass 2kg is initially at rest. A force starts acting on it in one direction whose magnitude changes with time. The force time graph is shown in figure. Find the velocity of the particle at the end of 10s .