A car travels around a circular track of radius 50 m at a speed of 15 m/s. What

A car travels around a circular track of radius 50 m at a speed of 15 m/s. What is the centripetal force acting on the car if its mass is 1000 kg?

A car travels around a circular track of radius 50 m at a speed of 15 m/s. What is the centripetal force acting on the car if its mass is 1000 kg?

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

Centripetal Force – The 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 applied here to derive centripetal force.
Circular Motion – The motion of an object in a circular path, which involves constant speed but changing velocity due to direction change.