Simple Harmonic Motion

If the period of a pendulum is 24 s, what is the height of which it is hanging?

• 143 m

• 214 m

• 98 m

You are designing a pendulum clock to have a period of 1.0 s. How long should the pendulum be?

• 0.25 m

• 1.2 m

• 0.027 m

Tags

NGSS.HS-PS2-4

A trapeze artist swings in simple harmonic motion with a period of 3.8 s. Calculate the length of the cables supporting the trapeze.

• 3.6 m

• 5.2 m

• 4.1 m

Calculate the period and frequency of a 3.500 m long pendulum at the North Pole, where acceleration due to gravity is 9.832 m/s^2.

• 3.749 s; 0.2667 Hz

• 2.599 s; 0.3448 Hz

• 1.228 s; 1.365 Hz

Tags

NGSS.HS-PS2-4

When a mass of 25 g is attached to a certain spring, it makes 20 complete vibrations in 4.0 s. What is the spring constant of the spring?

• 25 N/m

• 30 N/m

• 42 N/m

A 125 N object vibrates with a period of 3.56 s when hanging from a spring. What is the spring constant of the spring?

• 39.5 N/m

• 56.9 N/m

• 12.7 N/m

A spring of spring constant 30.0 N/m is attached to a mass of 1.9 kg; find the period and frequency of vibration for this system.

• 1.6 s; 0.62 Hz

• 0.25 s; 0.0014 Hz

• 0.43 s; 0.0072 Hz

A scale with a spring constant of 420 N/m is compressed 4.3 cm. What is the spring force?

• -18 N

• -22 N

• -28 N

A spring is stretched 0.15 m and the force was 1500 N. What is the spring constant?

• 1.00 x 10^4 N/m

• 2.20 x 10^4 N/m

• 1.45 x 10^3 N/m

A 25 N force stretches a spring 280 cm. What was the spring constant?

• 8.93 N/m

• 3.54 N/m

• 2.44 N/m