Question

A vehicle of mass 100kg has a kinetic energy of 5000 J at an instant. The velocity at that instant is​

Answer 1

Answer:

23.51 m/s

Explanation:

Parameters given:

Kinetic energy, K = 295 J

Momentum, p = 25.1 kgm/s

a) The kinetic energy of a body is given as:

where m = mass of the body and v = speed of the body

Answer 2

Answer:

• $\bf\pink{10\:m/s}$

Explanation:

Given :-

• $\sf\red{Mass \ of \ vehicle \ (m) = 100 \ kg}$
• $\sf\orange{Kinetic \ energy \ (K.E.) = 5000 \ J}$

To Find :-

• $\sf\green{Velocity\: of\: the \:vehicle \:at \:the \:instant}$

Formula to be used :-

• $\sf\blue{K.E. = \dfrac{1}{2} mv^{2}}$

Where,

• K.E. = Kinetic energy possessed by the body
• M = Mass of the body
• V = Velocity of the body

Solution :-

$\to\:\:\sf\red{K.E. = \dfrac{1}{2}mv^{2}}$

$\to\:\:\sf\orange{5000 = \dfrac{1}{2} \times 100 \times v^{2}}$

$\to\:\:\sf\green{5000 = 50 \times v^{2}}$

$\to\:\:\sf\blue{\dfrac{5000}{50} = v^{2}}$

$\to\:\:\sf\purple{100 = v^{2}}$

$\to\:\:\sf\red{\sqrt{100} = v}$

$\to\:\:\sf\orange{ 10 = v}$

$\to\:\:\bf\pink{v = 10\:m/s}$

• Velocity of the vehicle at the instant is $\bf\green{10\:m/s}$