Question

find the velocity of the body of mass 100g having KE as 20 joule ​

Answer 1

Answer:

Given :-

• A body of mass 100 g having kinetic energy as 20 Joule.

To Find :-

• What is the velocity of the body.

Formula Used :-

$\clubsuit$ Kinetic Energy or K.E. Formula :

$\bigstar \: \: \sf\boxed{\bold{\pink{K.E. =\: \dfrac{1}{2}mv^2}}}\: \: \: \bigstar$

where,

• K.E. = Kinetic Energy
• m = Mass
• v = Velocity

Solution :-

First, we have to change the mass g into kg :

$\implies \sf Mass =\: 100\: g$

$\implies \sf Mass =\: \dfrac{100}{1000}\: kg$

$\implies \sf\bold{\purple{Mass =\: 0.1\: kg}}$

Given :

• Mass = 0.1 kg
• Kinetic Energy = 20 Joule

According to the question by using the formula we get,

$\implies \bf K.E. =\: \dfrac{1}{2}mv^2$

$\implies \sf 20 =\: \dfrac{1}{2} \times 0.1 \times v^2$

$\implies \sf 20 \times \dfrac{2}{1} =\: 0.1 \times v^2$

$\implies \sf \dfrac{40}{1} =\: 0.1 \times v^2$

$\implies \sf 40 =\: 0.1 \times v^2$

$\implies \sf \dfrac{40}{0.1} =\: v^2$

$\implies \sf 400 =\: v^2$

$\implies \sf \sqrt{400} =\: v^2$

$\implies \sf 20 =\: v$

$\implies \sf\bold{\red{v =\: 20\: m/s}}$

$\therefore$ The velocity of the body is 20 m/s .

Answer 2

Answer:

20 m/s²

Explanation:

1 kg = 1000g

100g = 0.1 kg

KE = 1/2mv²

20 = 1/2*0.1 v²

20*2 = 0.1 v²

40 = 0.1 v²

40/0.1 = v²

400 = v²

v = √400 = 20m/s²