Question

A bicycle has a kinetic energy of 124 J. What kinetic energy would the bicycle have, if it had twice the mass and was moving at the same speed?​

Answer 1

Explanation:

Given:

KE = 1/2 mv^2 = 124J

If the mass is doubled , m will become 2m

But the speed remains the same ie. v will remain as v

KE =1/2 (2m)v^2

KE= 2[ 1/2 mv^2]

KE = 2[124]

KE = 248J

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Answer 2

Given - New mass and kinetic energy

Find - New kinetic energy

Solution - In case of the same speed and twice the mass, the new kinetic energy will be 248 Joules.

The kinetic energy is calculated by the formula -

KE = 1/2*m*v².

Now, when the mass is twice, the new formula that will form is -

New KE = 1/2*2m*v²

This can be further written as -

New KE = 2(1/2*m*v²)

New KE = 2*KE

Keep the values in the formula to find the value of new kinetic energy.

New KE = 2*124

New KE = 248 Joules.

Thus, in case of the same speed and twice the mass, the new kinetic energy will be 248 Joules.