Question on: JAMB Physics - 2024
A body is pulled on a horizontal surface with a rope inclined at 30º to the vertical. If the effective force pulling the body along the horizontal surface is 15 N, calculate the tension on the rope.
A
30 N
B
60 N
C
22.5 N
D
75 N
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Correct Option: A
Here's how to solve the problem:
- Understand the forces: The tension in the rope has horizontal and vertical components. The horizontal component (effective force) is given as 15 N.
- Use trigonometry: The angle to the vertical is 30º, so the angle to the horizontal is 60º. Horizontal component Fx = T x cos(θ), where T is tension and θ = 60º.
- Solve for Tension (T): T = Fx / cos(60º) = 15 N / 0.5 = 30 N.
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