A car is moving in a circular track of radius 50 m with a speed of 15 m/s. What

A car is moving in a circular track of radius 50 m with a speed of 15 m/s. What is the net force acting on the car if its mass is 1000 kg?

A car is moving in a circular track of radius 50 m with a speed of 15 m/s. What is the net force acting on the car if its mass is 1000 kg?

Step 1: Identify the formula for centripetal force, which is F = mv²/r.
Step 2: Determine the mass (m) of the car, which is 1000 kg.
Step 3: Determine the speed (v) of the car, which is 15 m/s.
Step 4: Determine the radius (r) of the circular track, which is 50 m.
Step 5: Calculate v² (15 m/s)² = 225 m²/s².
Step 6: Multiply the mass (1000 kg) by v² (225 m²/s²): 1000 kg * 225 m²/s² = 225000 kg·m²/s².
Step 7: Divide the result by the radius (50 m): 225000 kg·m²/s² / 50 m = 4500 N.
Step 8: Conclude that the net force acting on the car is 4500 N.

Centripetal Force – The net force required to keep an object moving in a circular path, directed towards the center of the circle.
Newton's Second Law – The relationship between force, mass, and acceleration, which is fundamental in calculating net forces.