Math, asked by Renumahala2601, 1 month ago

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The kinetic energy of an object of mass m, moving with a velocity of 5 m/s is 25 J. What will be its kinetic energy when its speed is doubled? it is given here doubled not tripled​

Answers

Answered by snehitha2
6

Answer:

The required kinetic energy is 100 J.

Step-by-step explanation:

Given :

The kinetic energy of an object of mass m, moving with a velocity of 5 m/s is 25 J.

To find :

the kinetic energy when its speed is doubled.

Solution :

Kinetic energy is the energy possessed by an object by virtue of its motion.

It's given by,

 \bf KE = \dfrac{1}{2} mv^2

where

m is the mass of the object

v is it's speed

__________________

>> Kinetic Energy is directly proportional to square of the speed.

So,

\sf \dfrac{KE_1}{KE_2} = \dfrac{v_1 ^2}{v_2 ^2}

KE₁ = 25 J

v₁ = 5 m/s

v₂ = 2v₁ = 2(5) = 10 m/s

Substituting,

\sf \dfrac{25}{KE_2} = \dfrac{5^2}{10^2} \\\\ \sf \dfrac{25}{KE_2} = \dfrac{25}{100} \\\\ \sf KE_2 = 100 \: J

The Kinetic Energy will be 100 J when speed is doubled.

Answered by alltimeindian6
0

Step-by-step explanation:

find the square of 95 using identity (a+b)²=a²+2ab+b²find the square of 95 using identity (a+b)²=a²+2ab+b²

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