Question

A veh.icle of Ma.ss 100 kg has a kin.etic energy of 5000 j at an in.stant. The vel.ocity at that ins.tant is​.​

Answer 1

Answer:

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 :-

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

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 instànt is $\bf\green{10\:m/s.}$

Answer 2

Answer:

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