PHYSICS
JAMB 2007 - Question 44
Physics 2007 JAMB Past Questions - Question 44: A car mass 1500 kg goes round a circular curve of radius 50 m at a speed of 40 ms-¹. The magnitude of the centripetal force on the car is
Choose the correct answers from the options given.
A:
B:
C:
D:
Correct Answer
D
Explanation
To find the magnitude of the centripetal force on the car, you can use the following formula:
Centripetal Force (F) = (mass) x (centripetal acceleration)
Centripetal acceleration (a) is given by:
a = (velocity^2) / radius
Where:
- Mass (m) of the car is 1500 kg.
- Radius (r) of the curve is 50 m.
- Velocity (v) of the car is 40 m/s.
First, calculate centripetal acceleration:
a = (40 m/s)^2 / 50 m
a = 1600 m^2/s^2 / 50 m
a = 32 m/s^2
Now, use the centripetal force formula:
F = m * a
F = 1500 kg * 32 m/s^2
F = 48,000 N
So, the magnitude of the centripetal force on the car is 48,000 Newtons.
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