Question

please solve the question ​

Answer 1

Given:

Mass of block = 2 kg

Force vs Displacement graph has been provided.

To find:

Change in Kinetic Energy of block

Concept:

In this type of questions , its best to apply the Work-energy Theorem. This theorem states that the work done by all the forces on a body is equal to the change in Kinetic energy

Calculation:

We know that work done is calculated from area of Force vs Displacement graph :

$work = \Delta(kinetic \: energy)$

$= > \Delta KE = area \: under \: graph$

$= > \Delta KE = area \: of \: triangle$

$= > \Delta KE = \frac{1}{2} \times base \times height$

$= > \Delta KE = \frac{1}{2} \times (10 - 2) \times (6 - 0)$

$= > \Delta KE = \frac{1}{2} \times (8) \times (6 )$

$= > \Delta KE = 24 \: joule$

So final answer is :

∆KE = 24 Joule