A car of mass 1500 kg rounds a curve of radius 250 m at 90 km/hr. The centripetal force acting on it is :A 1770 N B 2340 N C 3750 N D 4520 N
Question
A car of mass 1500 kg rounds a curve of radius 250 m at 90 km/hr. The centripetal force acting on it is:
- A 1770 N
- B 2340 N
- C 3750 N
- D 4520 N
Solution
To solve this problem, we need to use the formula for centripetal force, which is F = mv^2/r, where m is the mass, v is the velocity, and r is the radius.
Step 1: Convert the velocity from km/hr to m/s. 1 km/hr is approximately 0.27778 m/s. So, 90 km/hr is 90 * 0.27778 = 25 m/s.
Step 2: Substitute the values into the formula. F = 1500 kg * (25 m/s)^2 / 250 m.
Step 3: Calculate the force. F = 1500 kg * 625 m^2/s^2 / 250 m = 3750 N.
So, the centripetal force acting on the car is 3750 N. The correct answer is C.
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