Question

Calculate the work done when a body of mass 100kg is displaced 10m distance with the acceleration 5m/s square. [Ans:5000J]

Answer 1

Given: A body of mass 100kg is displaced 10m distance with the acceleration 5m/s².

Need to Find: The work done by the body.

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Let us firstly calculate the force of the body in order to calculate the work done.

☣ Force is defined as the product of mass and acceleration.

$\\\qquad\qquad\qquad\qquad\underline{\pmb{\frak{Force=Mass\times Acceleration}}}$

Substituting all the values,,

$\\\qquad\qquad\qquad\qquad\qquad\implies\sf{Force=100\times 5}$

$\\\qquad\qquad\qquad\qquad\qquad\implies\sf{Force=500\; N}$

❝ Therefore, the force applied on the body is 500 N. ❞

Now, let us calculate the work done by the body.

We know,

$\\\qquad\qquad\qquad\qquad\qquad\underline{\pmb{\frak{Work\: done=Force\times displacement}}}$

Substituting all the values,,

$\\\qquad\qquad\qquad\qquad\qquad\implies\sf{Work\: done=500\times 10}$

$\\\qquad\qquad\qquad\qquad\qquad\implies\underline{\boxed{\pmb{\frak{Work\: done=5000\: J}}}}$

$\therefore\:\underline{\color{purple}{\sf{The\: work\: done\: by\; the\: body\: is\: 5000\: J}}}$

Answer 2

5000 J

Explanation:

★Given -

• Mass of the body(m) = 100 kg
• Displacement(s) = 10 m
• Acceleration(a) = 5 m/s²

★To find -

• Work done.

★Solution -

Force(F) = ma --------(1)

Now, work = Fs

→ Work = mas -----[from (1)]

→ Work = 100 × 5 × 10

→ Work = 5000 J

★More to know -

1. Acceleration - It is the rate of change of the velocity of an object with respect to time.

2. Displacement - It is the shortest distance between the initial and final position of an object.

3. Force - Force is a push or a pull that changes or tends to change the state of rest or uniform motion of an object or changes the direction or shape of an object.