Mathematically, explain how a car (A) with mass of 500 kg and velocity of 2 m/s has the same kinetic energy as a car (B) with mass of 20000 g and velocity of 10 m/s.

The calculated kinetic energy values of the cars are the same. The kinetic energy is 1000 J for each of the cars.

Then, we can conclude that, car (A) with mass 500 kg and velocity of 2 m/s has the same kinetic energy as a car (B) with mass of 20000 g and velocity of 10 m/s.

Kinetic energy can be calculated using the formula

Where K.E is the kinetic energy

m is the mass

and v is the velocity

m = 500 kg

and v = 2 m/s

Then,

m = 20000 g = 20 kg

v = 10 m/s

Then,

From above, we can observe that the calculated kinetic energy values of the cars are the same.

Hence, car (A) with mass 500 kg and velocity of 2 m/s has the same kinetic energy as a car (B) with mass of 20000 g and velocity of 10 m/s.

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Both kinetic energies are equal

Explanation:

Kinetic Energy

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

The equation for the kinetic energy is:

Where:

m = mass of the object

v = speed of the object

The kinetic energy is expressed in Joules (J)

There are two cars:

Car (A) with mass ma=500 kg and speed va= 2 m/s

Car (B) with mass mb=20,000 gr and speed vb= 10 m/s

Calculate the kinetic energy of both cars:

To calculate the Kb, the mass must be expressed in kg:

mb=20,000/1,000 =20 Kg

Both kinetic energies are equal