Home
Class 12
PHYSICS
A body of mas 5 kg is placed at origin. ...

A body of mas 5 kg is placed at origin. A force starts acting on the body given by `vecF=(2+3x)hati` where x is the distance of body from origin in meters. Find the speed acquired by the body as it passes through `x=5m.`

Text Solution

AI Generated Solution

To solve the problem, we will use the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy. ### Step-by-Step Solution: 1. **Identify the Given Information**: - Mass of the body, \( m = 5 \, \text{kg} \) - Force acting on the body, \( \vec{F} = (2 + 3x) \hat{i} \) - Displacement, \( x = 5 \, \text{m} \) ...
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    AAKASH INSTITUTE ENGLISH|Exercise IILUSTRATION|2 Videos
  • WORK, ENERGY AND POWER

    AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|95 Videos
  • WAVES

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT ( SECTION-D ( Assertion - Reason Type Questions ))|12 Videos

Similar Questions

Explore conceptually related problems

A body of mass 5//6kg kept at rest in horizontal plane is acted upon by a variable force given by F=5e^(-1) newton in the same horizontal plane. Find the terminal velocity attained by the body.

A body of mass 5kg initially at rest, is subjected to a force of 40 N. Find the kinetic energy acquired by the body at the end of 5 seconds :

A body of mass 20 kg is kept initially at rest. A force of 80 N is applied on the body then the acceleration produced in the body is 3 m//s^(2) , force of friction acting on the body is :

The potential energy of a body is given by U = A - Bx^(2) (where x is the displacement). The magnitude of force acting on the partical is

A body of mass 4 kg is accelerated up by a constant force, travels a distance of 5 m in the first second and a distance of 2m in the third second. The force acting on the body is

A body of mass m kg collides elastically with another body at rest and then continues to move in the original direction with one half of its original speed. What is the mass of the target body ?

A body of mass 3 kg collides elastically with another body at rest and then continues to move in the original direction with one half of its original speed. What is the mass of the target body?

A body of mass 5kg rests on a rough horizontal surface of coefficient of friction 0.2. The body is pulled through a distance of 10m by a horizontal force of 25N. The kinetic energy acquired by the body is (g= 10ms^(-2))

A body of mass 10 kg is being acted upon by a force 3t^2 and an opposing constant force of 32 N. The initial speed is 10 ms^-1. The velocity of body after 5 s is

A body of mass 5 kg initially at rest is subjected to a force of 20 N. What is the kinetic energy acquired by the body at the end of 10 s?