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Solve the Problem F\mathrm { F } , in Newtons, Acting on a String Pendulum Is Given

Question 155

Multiple Choice

Solve the problem.
-The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The rest force F\mathrm { F } , in Newtons, acting on a string pendulum is given by the formula
F=mgsinθ\mathrm { F } = \mathrm { mg } \sin \theta
where m\mathrm { m } is the mass in kilograms of the pendulum's bob, g9.8g \approx 9.8 meters per second per second is the acceleration due to gravity, and θ\theta is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m=0.8\mathrm { m } = 0.8 kilogram and θ=31\theta = 31 ^ { \circ } ? If necessary, round the answer to the nearest tenth of a Newton.


A) 3.2 N
B) 3.8 N
C) 6.7 N
D) 4 N

Correct Answer:

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