Question

the kinetic energy of a body moving with constant speed is 2500 joule.if the mass of body 50kg than find out the velocity of the body​

Answer 1

k=1/2mv^2

2500=1/2 (50*v^2)

2500=25*v^2

100=v^2

v=10 m/s

Answer 2

Given :-

• Kinetic energy = 2500 joules
• Mass of the body = 50 kg

To find :-

Velocity of the body = ?

Formula used :-

$\pink{ \dag \: \: \boxed{ \sf{k.e = \dfrac{1}{2} mv {}^{2} }}}$

Where

★ k.e is the Kinetic energy

★ m is the mass of the object

★ v is the velocity with which the body is moving.

Solution :-

Applying the above mentioned formula,

$\sf{k.e = \dfrac{1}{2} \times 50 \times {v}^{2} }$

$\leadsto \: \: \sf{2500 = \frac{1}{2} \times 50 \times {v}^{2} }$

$\dashrightarrow \: \sf{2500 = 25 \times {v}^{2} }$

$\dashrightarrow \: \sf{ {v}^{2} = \dfrac{2500}{25} }$

$\dashrightarrow \: \sf{ {v}^{2} = 100 }$

$\dashrightarrow \: \sf{v = \sqrt{100} }$

$\therefore \boxed{ \boxed{ \bf{v = 10 \: m/s}}}$

Know more:

• The formula for gravitational potential energy is

E = mgh

where;

★ m is the mass of the body

★ g is the gravitational strength

★ h is the height

• The formula for force is:

F = ma

where

→ m is the mass of object

→ a is acceleration