A car of mass 1120 kg is going around a curve of radius 155 meters at a speed of 14.2 m/sec. What is the centripetal force acting on the car?
To calculate the centripetal force acting on the car, we can use the equation:
F = (m * v^2) / r
where:
F is the centripetal force,
m is the mass of the car,
v is the velocity of the car, and
r is the radius of the curve.
Given:
m = 1120 kg
v = 14.2 m/s
r = 155 m
Substituting the values into the equation:
F = (1120 kg * (14.2 m/s)^2) / 155 m
Simplifying the equation:
F = (1120 kg * 201.64 m^2/s^2) / 155 m
F = 2,25,876.8 kg m/s^2 / 155 m
F = 14,552.42 N
Therefore, the centripetal force acting on the car is approximately 14,552.42 Newtons.
To find the centripetal force acting on the car, we can use the formula:
Centripetal force = (mass of the car) x (velocity of the car)^2 / (radius of the curve)
Step 1: Identify the given values
- Mass of the car = 1120 kg
- Velocity of the car = 14.2 m/sec
- Radius of the curve = 155 meters
Step 2: Substitute the values into the formula
Centripetal force = (1120 kg) x (14.2 m/sec)^2 / (155 meters)
Step 3: Calculate the centripetal force
Centripetal force = (1120 kg) x (200.84 m^2/sec^2) / (155 m)
Simplifying the equation:
Centripetal force ≈ 1442.32 N
Therefore, the centripetal force acting on the car is approximately 1442.32 Newtons.