When the speed of a ball is doubled its kinetic energy(a) Remains same

1.	When the speed of a ball is doubled its kinetic energy(a) Remains same (b) gets doubled(c) Becomes half (d) becomes 4 times
Answer» ANSWER ⇒ Option (d). 4 TIMES. Explanation ⇒ Let the Original VELOCITY, mass and the kinetic ENERGY of the BODY be v, m and K₁ respectively. ∴ K = 1/2 × mv² -----eq(i) Now, If the velocity becomes 2 times of the original, then new velocity = 2v ∴ New Kinetic Energy = 1/2 × m(2v)² ⇒ K₂ = 1/2 × mv² × 4 ⇒ K₂ = K₁ × 4 [From eq(i)] ⇒ K₂ = 4K₁ Hence, the kinetic energy becomes 4 times of the original. Hope it helps.

When the speed of a ball is doubled its kinetic energy(a) Remains same (b) gets doubled(c) Becomes half (d) becomes 4 times

Answer»

ANSWER ⇒ Option (d). 4 TIMES.

Explanation ⇒

Let the Original VELOCITY, mass and the kinetic ENERGY of the BODY be v, m and K₁ respectively.

∴ K = 1/2 × mv² -----eq(i)

Now,

If the velocity becomes 2 times of the original, then new velocity = 2v

∴ New Kinetic Energy = 1/2 × m(2v)²

⇒ K₂ = 1/2 × mv² × 4

⇒ K₂ = K₁ × 4 [From eq(i)]

⇒ K₂ = 4K₁

Hence, the kinetic energy becomes 4 times of the original.

Hope it helps.

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When the speed of a ball is doubled its kinetic energy(a) Remains same (b) gets doubled(c) Becomes half (d) becomes 4 times

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