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MechanicsFrictional Force Calculator
Frictional Force (F) = μ × N
Practical Examples:
Example 1: Box on a Slope
A box with a normal force of 200 N is on a slope with a coefficient of friction of 0.5. Calculate the frictional force acting on the box.
Solution: F = μ × N = 0.5 × 200 N = 100 N
Example 2: Sliding Object
An object with a normal force of 150 N is sliding on a surface with a coefficient of friction of 0.3. Calculate the frictional force acting on the object.
Solution: F = μ × N = 0.3 × 150 N = 45 N
Example 3: Train on a Curved Track
A train with a mass of 50,000 kg is moving at a speed of 30 m/s around a curved track with a radius of 200 meters. Calculate the centripetal force acting on the train.
Solution: Fc = mv²/r = (50,000 kg) × (30 m/s)² / 200 m = 225,000 N
Example 4: Roller Coaster Loop
A roller coaster car with a mass of 800 kg is moving at a speed of 15 m/s at the top of a vertical loop with a radius of 10 meters. Calculate the centripetal force acting on the car at that point.
Solution: Fc = mv²/r = (800 kg) × (15 m/s)² / 10 m = 18,000 N
Example 5: Car Rounding a Corner
A car with a mass of 1,000 kg is rounding a corner with a radius of 25 meters at a speed of 10 m/s. Calculate the centripetal force acting on the car.
Solution: Fc = mv²/r = (1,000 kg) × (10 m/s)² / 25 m = 4,000 N
