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Work, Energy And Power

Question

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A body of mass m₁ = 4 kg moves at 5 i m/s and another body of mass m₂ = 2 kg moves at 10 i m/s. The kinetic energy of centre of mass is

$\frac{200}{3} J$

$\frac{500}{3} J$

$\frac{400}{3} J$

$\frac{800}{3} J$

Solution

$\frac{400}{3} J$

The total kinetic energy of a multiparticle system is equal to the sum of particles in the systems.

The centre of mass is a point that represents the average location for the total mass of system.

$v_{CM} = \frac{m_{1} \frac{{dr}_{1}}{dt} + m_{2} \frac{{dr}_{2}}{dt}}{m_{1} + m_{2}}$

$v_{CM} = \frac{4 \times 5 i + 2 \times 10 i}{4 + 2}$

$V_{CM} = \frac{40 i}{6}$

= $\frac{20}{3} i$

The kinetic energy

K = $\frac{1}{2} m v^{2}$

K = $\frac{1}{2} \times (4 + 2) \times \frac{20 \times 20}{3 \times 3}$

K = $\frac{1}{2} \times 6 \times \frac{20 \times 20}{3 \times 3}$

K = $\frac{400}{3} J$

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Work, Energy And Power

A body of mass m₁ = 4 kg moves at 5 i m/s and another body of mass m₂ = 2 kg moves at 10 i m/s. The kinetic energy of centre of mass is

$\frac{200}{3} J$

$\frac{500}{3} J$

$\frac{400}{3} J$

$\frac{800}{3} J$

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For Daily Free Study Material Join wiredfaculty

Work, Energy And Power

A body of mass m1 = 4 kg moves at 5 i m/s and another body of mass m2 = 2 kg moves at 10 i m/s. The kinetic energy of centre of mass is 2003J 5003 J 4003J 8003J

Some More Questions From Work, Energy and Power Chapter

Write the SI unit of gravitational constant?

Define the unit joule.

What are different units of energy?

What is watt?

Define watt.

How many joules are there in one eV?

What is the relation between kWh and Joule?

Does the body at rest possess energy?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A body of mass m₁ = 4 kg moves at 5 i m/s and another body of mass m₂ = 2 kg moves at 10 i m/s. The kinetic energy of centre of mass is

$\frac{200}{3} J$

$\frac{500}{3} J$

$\frac{400}{3} J$

$\frac{800}{3} J$