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

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 $\mathrm { F }$ , in Newtons, acting on a string pendulum is given by the formula
$$\mathrm { F } = \mathrm { mg } \sin \theta$$
where $\mathrm { m }$ is the mass in kilograms of the pendulum's bob, $g \approx 9.8$ meters per second per second is the acceleration due to gravity, and $\theta$ is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when $\mathrm { m } = 0.8$ kilogram and $\theta = 31 ^ { \circ }$ ? 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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