Question

Two objects having equal masses are moving with uniform velocities of 2 m/s and 6 m/s respectively.

Calculate the ratio of their kinetic energies.​

Answer 1

Answer:

1:9

the kinetic energy of 1st body

(K2) =1/2m*2*2

the kinetic energy of 2nd body(K2) -1/2m*6*6

So, the kinetic energy of 1st body =2m... (1)

The kinetic energy of 2nd body=18m... (2)

Ratio of their kinetic energies=2m:18m

On comparing both equation(1) and (2)

(K1) : (K2) =1:9

Answer 2

Answer ::

• The ratio of their kinetic energies is 1:9.

Explanation :-

To Find :-

• The ratio of the kinetic energy of two objects

Solution :-

Given that,

• Two objects having equal masses are moving with uniform velocities of 2m/s and 6m/s

Let us assume the equal masses of two objects as " m " and the two velocities as v₁ [ 2m/s ] and v₂ [ 6m/s ],

According the question,

• The ratio of their kinetic energies

As we know that,

Kinetic energy = 1/2 × m × (v)²

Where,

• m = Mass
• v = Speed / Velocity

Therefore, the ratio of their energies are:

➭ { 1/2 × m × v₁² } / { 1/2 × m × v₂² } ... cancelling 1/2 from denominator and numerator,

➭ { m × v₁² } / { m × v₂² } ... cancelling m from both numerator and denominator

➭ { v₁² } / { v₂² }

➭ { 2² } / { 6² }

➭ 4 / 36

➭ 2 / 18

➭ 1 / 9

The ratio of their kinetic energies is 1:9.