Question

Two animals are running with the same velocity, if the mass of one is ten times the other,
then what is the relation between their kinetic energies?

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Answer 1

Given :-

▪ Two animals are running with the same velocity. The mass of one is ten times the other.

To Find :-

▪ Relation between their kinetic energies.

Solution :-

Let the velocity of both the animals be v as given in the question that both the animals have same velocity.

Also, Assume the mass of one to be m then the mass of the other will be 10m.

We know, Kinetic energy of a body of mass m travelling with velocity v is given by,

⇒ E = 1/2 mv²

To find the relation between their kinetic energies, Let us find the ratio

⇒ Kinetic Energy of one / Kinetic energy of the other

⇒ (1/2 mv²) / (1/2 (10m) v² )

⇒ mv² / 10mv²

⇒ 1 / 10

Hence, The kinetic energy of the heavier animal is ten times the kinetic energy of the lighter one.

Answer 2

Answer:

K. E of animal A = 10K. E of animal B

Explanation:

vA =vB

mA=10mB

1/2mAvA^2=1/2×10mAvB^2

therefore, K. E of animal A = 10K. E of animal B