Question

Three remote control cars are identical size and weight. The motors installed in the three cars are 100 watts, 150 watts and 200 watts respectively. Describe what will be true about the maximum speed of each car? Explain.

Answer 1

The true statement about the maximum speed of each car will be that the power of each car directly proportional to the speed of each car.

Step-by-step explanation:

Given that,

Power of first car = 100 watt

Power of second car = 150 watt

Power of third car = 200 watt

We know that,

Power :

The power is directly proportional to the cube of speed.

In mathematically,

`P\propto v^3`

Where, P = power

v = speed

If the power is increased then the speed will be increase.

We need to find the maximum speed of car

According to question,

The power of car is maximum so the speed of car will be maximum.

For first car,

The power of first car is 100 watt.

So, the speed of first car will be 1000000 m/s.

For second car,

The power of second car is 150 watt.

So, the speed of second car will be 3375000 m/s.

For third car,

The power of third car is 200 watt.

So, the speed of first car will be 8000000 m/s.

Hence, The true statement about the maximum speed of each car will be that the power of each car directly proportional to the cube of speed of each car.