Question

a force F=3X²+2x-7 N acts on a 2kg body as a result of which the body gets displaced from x=0 to x=5 .find the work done by the force will be​

Answer 1

Answer:

Explanation:

Integrate force with respect to x displacement to get the work done.

Answer 2

Answer:

115 joules is the work done by the force.

Explanation:

To find work done we inregrate force with respect to displacement.

Work done = [(x)^3 + (x)^2 - 7x]

Initial value is 0 and final value is 5

Then,

Work done = [(5)^3 + (5)^2 - (7 × 5)] - [(0)^3 + (0)^2 - 7 × 0]

Work done = [ 125 + 25 - 35 ] - [0 ] Joule

Work done = [ 150 - 35 ] Joule

Work done = 115 Joule

Here,

x is the displacement

Hence,

115 joules is the work done by the force.

WORK DONE

• It is the dot product of force and diaplacement.
• Area under the Force - displacement curve give the value of work done.
• Si unit of work done is joule.