A body moving with velocity v has momentum and kinetic energy numerically equal. What is the value of v?

Question

A body moving with velocity v has momentum and kinetic energy numerically equal. What is the value of v? (A) 2 m/s  (B)  √2 m/s  (C)  1 m/s  (D)  0.2 m/s

Tardigrade Admin · Accepted Answer

Kinetic energy is the energy possessed by a body due to its velocity (v) given by K=(1/2) m v2 ... (i) Momentum (p)= mass (m) x velocity (v) ... (ii) Given, K=P ∴ (1/2) m v2=m v ⇒ v=2 m / s

Q. A body moving with velocity $v$ has momentum and kinetic energy numerically equal. What is the value of $v$ ?

$2 m / s$

$2 m / s$

$1 m / s$

$0.2 m / s$

Kinetic energy is the energy possessed by a body due to its velocity $(v)$ given by $K = \frac{1}{2} m v^{2}$ ... (i)
Momentum $(p) =$ mass $(m) x$ velocity $(v)$ ... (ii)
Given, $K = P$
$∴ \frac{1}{2} m v^{2} = m v$
$\Rightarrow v = 2 m / s$

Q. A body moving with velocity v has momentum and kinetic energy numerically equal. What is the value of v?

2m/s

2​m/s

1m/s

0.2m/s

Kinetic energy is the energy possessed by a body due to its velocity (v) given by K=21​mv2 ... (i) Momentum (p)= mass (m)x velocity (v) ... (ii) Given, K=P ∴21​mv2=mv ⇒v=2m/s

Q. A body moving with velocity $v$ has momentum and kinetic energy numerically equal. What is the value of $v$ ?

$2 m / s$

$2 m / s$

$1 m / s$

$0.2 m / s$

Kinetic energy is the energy possessed by a body due to its velocity $(v)$ given by $K = \frac{1}{2} m v^{2}$ ... (i)
Momentum $(p) =$ mass $(m) x$ velocity $(v)$ ... (ii)
Given, $K = P$
$∴ \frac{1}{2} m v^{2} = m v$
$\Rightarrow v = 2 m / s$