Question

1.The magnitude of the restoring force that acts on a 1.0-kg pendulum when it is displaced 2.0° from equilibrium is ___ N. (Give your answer with the correct number of significant digits and do not include units in your answer)

2.The magnitude of the restoring force that acts on a 1.0-kg pendulum when it is displaced 10.0° from equilibrium is ___ N. (Give your answer with the correct number of significant digits and do not include units in your answer)

3.On earth the period of a 1.50-m pendulum is ___s. (Give your answer with the correct number of significant digits and do not include units in your answer)

4.On the hypothetical planet Xeon, a pendulum with a length of 95.0 cm swings with a frequency of 1.50 Hz. The acceleration due to gravity on Xeon is ___ m/s². (Give your answer with the correct number of significant digits and do not include units in your answer)

Answer 1

1)

$$F=(1)(9.8)\sin{2}=0.34\ N$$

2)

$$F=(1)(9.8)\sin{10}=1.7\ N$$

3)

$$T=2\pi\sqrt{\frac{1.5}{9.8}}=6.04\ s$$

4)

$$\frac{1}{1.5}=2\pi\sqrt{\frac{0.95}{g}}\\g=84.4\frac{m}{s^2}$$