Centripetal Force:
The centripetal force is the force that acts on an object moving in a circular path, directed towards the center of the circle. It is responsible for keeping the object in the circular path and preventing it from moving in a straight line.

Formula:
The centripetal force can be calculated using the formula:

F = (m * v^2) / r

where F is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circular path.

Given:
In this case, the car is moving in a circular path with a constant speed of 10 m/s and a radius of 10 m. The mass of the car is 1000 kg.

Calculations:
Using the given values, we can calculate the centripetal force for the car.

F = (m * v^2) / r
= (1000 kg * (10 m/s)^2) / 10 m
= (1000 kg * 100 m^2/s^2) / 10 m
= 100000 N

Therefore, the required centripetal force for the car is 100000 N.

Explanation:
The centripetal force is essential for any object moving in a circular path. It acts as a centripetal force, pulling the object towards the center of the circle. In this case, the car is moving in a circular path with a constant speed of 10 m/s. The centripetal force required to keep the car in this circular path is determined by the car's mass, velocity, and the radius of the circular path.

To calculate the centripetal force, we use the formula F = (m * v^2) / r, where m is the mass of the car, v is the velocity of the car, and r is the radius of the circular path. By substituting the given values into the formula, we can calculate the centripetal force for the car.

In this case, the mass of the car is 1000 kg, the velocity is 10 m/s, and the radius of the circular path is 10 m. By plugging these values into the formula, we get a centripetal force of 100000 N. This means that a force of 100000 N is required to keep the car moving in a circular path with a constant speed of 10 m/s and a radius of 10 m.

Conclusion:
In conclusion, the required centripetal force for the car moving in a circular path with a constant speed of 10 m/s and a radius of 10 m is 100000 N. This force is responsible for keeping the car in the circular path and preventing it from moving in a straight line.