Springs in motion: period, frequency and graphs
Grade 11 Science Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
A mass on a spring has amplitude 0.1 m and period 2 s. What is its greatest speed, to 0.01 m/s, Jun?
A mass on a spring has amplitude 0.2 m and period 1.6 s. What is its greatest speed, to 0.01 m/s, Kira?
A student says pulling the mass farther makes each oscillation take longer. Which reply fits OpenStax, Luz?
- Yes; a bigger swing takes longer to finish
- No; the period does not depend on amplitude
- Yes; twice the pull gives twice the period
A student says a smaller pull makes each cycle quicker. Which reply fits OpenStax, Milo?
- No; the period stays the same for a smaller pull
- Yes; half the pull gives half the period
- Yes; a shorter path takes less time
A student says doubling the mass doubles the period. Which reply fits T = 2π√(m ÷ k), Noah?
- No; the period grows by √2, about 1.41 times
- No; a bigger swing is what changes the period
- Yes; the period is proportional to the mass
Using the two traces, how do their frequencies compare, Pia?
- They are equal, since both are springs
- A's is twice B's: 1 Hz and 0.5 Hz
- B's is twice A's: 1 Hz and 0.5 Hz
The two masses in the traces are equal. Which spring is stiffer, Ren?
Use the picture in question 6.
- B's spring, 4 times as stiff
- A's spring, 4 times as stiff
- A's spring, 2 times as stiff
Which trace shows the greater maximum speed, Tala?
Use the picture in question 6.
- B, since its amplitude is bigger
- They are equal, about 25 cm/s
- A, since its period is shorter
A 2 kg mass on a spring has a period of 0.5 s. What is the spring constant, Ari?
- About 25 N/m
- About 316 N/m
- About 158 N/m
Which formula gives k from a measured period T and mass m, Bo?
- k = 4π²m ÷ T²
- k = 4π²m ÷ T
- k = 2πm ÷ T