Question

A body of mass 1 kg is acted by some forces such that it's displacement is given by S=2t^2-2t+10.find the work done by all the forces in 0 to 2s ?​

Answer 1

Answer:

16J

Explanation:

im 0 to 2s displacement of the particle is [2(4)-2(2)+10]-[10]

=4m

now force = m x a

m x second derivative of S with respect to t

1x 4

= 4N

therefore work done = force x displacement

4 x 4= 16J

hope it helps u

mark as brainliest

Answer 2

The work done by the all forces is 16 J.

Explanation:

Given that,

mass = 1 kg

Equation of displacement is given by

$s=2t^2-2t+10$

Time = 2 sec

Acceleration is the second derivative of the position of the particle.

We need to calculate the acceleration

Using equation of displacement

$s=2t^2-2t+10$

On differentiate w.r.to t

$\dfrac{ds}{dt}=4t-2$

Again differentiating

$a=\dfrac{d^2s}{dt^2}=4$

We need to calculate the displacement at 0 sec and 4 sec

Using equation of displacement

$s=s_{4}-s_{0}$

$s=8-4+10-10$

$s=4\ m$

We need to calculate the work done by all force

Using formula of work done

$W=F\cdot s$

Put the value into the formula

$W=1\times4\times4$

$W=16\ J$

Hence, The work done by the all forces is 16 J.

Learn more :

Topic : Work done

https://brainly.in/question/12556715