A body is falling under gravity. When it loses a gravitational potential energy by U, its speed is v. The mass of the body shall be:

Question

A body is falling under gravity. When it loses a gravitational potential energy by U, its speed is v. The mass of the body shall be: (A) (2U/v) (B) (U/2v) (C) (2U/v2) (D) (U/2v2)

Tardigrade Admin · Accepted Answer

Gain in KE = Loss in PE or (1/2) m v2=U or m=(2 U/v2)

Q. A body is falling under gravity. When it loses a gravitational potential energy by $U$ , its speed is $v .$ The mass of the body shall be:

$\frac{2 U}{v}$

$\frac{U}{2 v}$

$\frac{2 U}{v ^{2}}$

$\frac{U}{2 v ^{2}}$

Gain in $K E =$ Loss in $PE$
or $\frac{1}{2} m v^{2} = U$
or $m = \frac{2 U}{v ^{2}}$

Q. A body is falling under gravity. When it loses a gravitational potential energy by U, its speed is v. The mass of the body shall be:

v2U​

2vU​

v22U​

2v2U​