Question

If momentum of a body is increased by 20%, then its kinetic energy increases by ______.

Options

• 36%

• 40%

• 44%

• 48%

Answer 1

If momentum of a body is increased by 20%, then its kinetic energy increases by 44%.

Explanation:

Momentum of a body is increased by

P' = `"P"+20/100`P = 1.2 P

Percentage change in KE = `("K'"-"K")/"K"xx100`

= `(("P'"^2/(2"m")-"P"^2/(2"m"))/("P"^2/(2"m")))xx100`

= [(1.2)² - 1] × 100

= 44%