Question

determine the kinetic energy of a 100 kg roller coaster car that is moving with speed of 20. 0 m/ s​

Answer 1

Answer:

2×$10^{4}$ J  

Explanation:

K.E= $\frac{1}{2} mv^{2}$

       =$\frac{1}{2}$ × 100 × $20^{2}$

        =2×$10^{4}$ J      

Answer 2

The kinetic energy of the roller coaster is 20000 Joules.

Given,

Mass of the roller coaster=100 Kg

Velocity of the roller coaster=20 m/s.

To find,

the kinetic energy of the roller coaster.

Solution:

• The application here is from the chapter "Work, Power and Energy".
• The kinetic energy of a body, K.E. moving with a velocity of v and having a mass m can be given by the following expression:
• $K.E.=\frac{1}{2} mv^{2}$.
• The unit of kinetic energy of an object is Joules(J).

The kinetic energy, K.E. of the roller coaster will be:

$K.E.=\frac{1}{2} mv^{2}\\K.E.=\frac{1}{2} X100X(20)^{2} \\K.E.=\frac{1}{2} X 100X400\\K.E.=100X200\\K.E.=20000 Joules.$

Thus, the kinetic energy of the roller coaster is 20000 Joules.

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