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3 years ago

A car and its passengers have a mass of 1200kg it is travelling at 12m/s.

Physics

1 answer:

Natali [406]3 years ago

4 0

Answer:

<em>The increase of kinetic energy is 108,000 J</em>

Explanation:

<u>Kinetic Energy </u>

Is the energy an object has due to its state of motion. It's proportional to the square of the speed and the mass.

The equation for the kinetic energy is:

$\displaystyle K=\frac{1}{2}mv^2$

Where:

m = mass of the object

v = speed at which the object moves

The kinetic energy is expressed in Joules (J)

A car has a total mass of m=1,200 kg and travels at v1=12 m/s. Then it increases its speed at v2=18 m/s.

It's required to compute the increase of kinetic energy. We'll calculate both energies K1 and K2 and then subtract them.

$\displaystyle K_1=\frac{1}{2}1,200*12^2=86,400\ J$

$\displaystyle K_2=\frac{1}{2}1,200*18^2=194,400\ J$

The increase of kinetic energy is:

$\Delta K=K_2-K_1 =194,400\ J-86,400\ J$

$\Delta K=108,000\ J$

The increase of kinetic energy is 108,000 J

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