Question

find the height from which body of mass 50kg should fall in order to have Kinetic Energy of a car of mass 200kg travelling st 10m/s​

Answer 1

Answer:

20m

Explanation:

$ke = \frac{1}{2} m {v}^{2} \\ ke \: of \: car = \frac{1}{2} \times200 \times 10 \times 10 \\ = 10000j \\ pe = mgh \\ pe \: of \: the \: body = 10000 = 50 \times 10 \times h \\ h = 10000 \div 500 = 20m$

Answer 2

The height of the body is 20 meters.

Explanation:

Given that,

Mass of an object, m = 50 kg

Mass of a car, m' = 200 kg

Speed of the car, v = 10 m/s

We need to find the height from which body of mass 50 kg should fall in order to have Kinetic energy of a car of mass 200 kg travelling st 10 m/s​.

The kinetic energy of a car is given by :

$K=\dfrac{1}{2}mv^2\\\\K=\dfrac{1}{2}\times 200\times 10^2\\\\K= 10000\ J$

Let h is the height when it has a kinetic energy of 10000 J. So,

$10000=mgh\\\\10000=50\times 10\times h\\\\h=20\ m$

So, the height of the body is 20 meters. Hence, this is the required solution.

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Kinetic and potential energy

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