Question

Under the action of force, a 2 kg body moves such that its position x as a function of time t is given
by X=-. where X is in metres and t in seconds. The work done by the force in first two seconds is
16,
1​

Answer 1

Explanation:

• Work done by the force is .

Explanation:

It is given that,

Mass of the object, m = 2 kg

Its position as a function of time t is given by :

Velocity,

Where

x is in meters

t is in seconds

We need to find the work done by the force in first two seconds. The work done by an object is given by :

................(1)

Where

v is the final velocity

u is the initial velocity

At t = 0, u = 0

At t = 2 s,

Put the values of u and v in equation (1), we get :

So, the work done by the force in first two  seconds is . Hence, this is the required solution.