Home
Class 11
PHYSICS
A body of 2kg has an initial speed 5ms^(...

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

A

`9.25ms^_(-1)`

B

`5ms^_(-1)`

C

`14.25ms^_(-1)`

D

`4.25ms^_(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
Impulse=Change in momentum `=m(v_(2)-v_(1))` …(i)
Again impulse=Area between the graph and time axis
`=(1)/(2)xx2xx4+2xx4+(1)/(2)(4+2.5)xx0.5+2xx2.5`
`=4+8+1.625+5=18.625`
From (i) and (ii), `m(v_(2)-v_(1))=18.625`
`implies v_(2)=(18.625)/(m)=v_(1)=(18.625)/(2)+5=14.25m//s` .
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NEWTONS LAWS OF MOTION

    A2Z|Exercise Equilibrium Of A Particle|19 Videos

  • NEWTONS LAWS OF MOTION

    A2Z|Exercise Applications Of Newton'S Laws Of Motion|33 Videos

  • NEWTONS LAWS OF MOTION

    A2Z|Exercise Chapter Test|30 Videos

  • MOTION IN TWO DIMENSION

    A2Z|Exercise Chapter Test|29 Videos

  • OSCILLATION AND SIMPLE HARMONIC MOTION

    A2Z|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

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 .

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 . .

Knowledge Check

  • 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
    `8.5 ms^(-1)`
    B
    `11 ms^(-1)`
    C
    `16.8125 ms^(-1)`
    D
    `4.31ms^(-1)`

  • The displacement time graph of a body is shown in figure. The velocity-time graph of the motion of the body will be

    A
    B
    C
    D

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

    A
    25N
    B
    50N
    C
    12.5 N
    D
    100 N

    • Similar Questions

    Explore conceptually related problems

    The distance-time graph of a body is as shown in the figure. The part of the graph that represents the uniform speed of the body is

    The distance- time graph of a body is as shown in the figure. The part of the graph that represent the unifrom speed of the body is

    The displacement-time graph of a body is shown in. . The velocity-time graph of the motion of the body will be .

    The velocity - time graph of a body is given in figure below . The acceleration-time graph of the motion of the body is

    A force time graph for the motion of a body is as shown in figure. Change in linear momentum between 0 and 6s is

    Home
    Profile