Question

Choose the correct alternative from the following and rewrite the statement.
A body of mass 18 kg has a Kinetic energy 144 J. Then velocity is _____ m/s.

(1) 8 (2) 4 (3) 16 (4) 1152

Answer 1

Answer:

1152 is the answer.

Explanation:

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Answer 2

Given that:

• Mass = 18 kg
• Kinetic energy = 144 Joules

To calculate:

• The velocity

Solution:

• The velocity = 4 mps

Using concept:

• Kinetic energy

Using formula:

• ${\small{\underline{\boxed{\pmb{\sf{E_k \: = \dfrac{1}{2} \: mv^2}}}}}}$

Where, E_k denotes kinetic energy, m denotes mass and v denotes velocity.

Required solution:

$:\implies \sf E_k \: = \dfrac{1}{2} \: mv^2 \\ \\ :\implies \sf 144 \: = \dfrac{1}{2} \times 18 \times v^2 \\ \\ :\implies \sf 144 \: = 1 \times 9 \times v^2 \\ \\ :\implies \sf 144 \: = 9 \times v^2 \\ \\ :\implies \sf \dfrac{144}{9} \: = v^2 \\ \\ :\implies \sf 16 \: = v^2 \\ \\ :\implies \sf \sqrt{16} \: = v \\ \\ :\implies \sf v \: = 4 \: ms^{-1} \\ \\ :\implies \sf Velocity \: = 4 \: ms^{-1}$

Henceforth, option (2) is correct!