Physics equations/16-Oscillatory Motion and Waves/Q:amplitudes/Testbank

===2===
{<!--a16OscillationsWaves_amplitudes_1-->A 0.047 kg mass is on a spring that causes the frequency of oscillation to be 26 cycles per second.  The maximum velocity is 90.5 m/s.  What is the maximum force on the mass?}
-a) 1.5 x 10<sup>2</sup> N
-b) 3.2 x 10<sup>2</sup> N
+c) 6.9 x 10<sup>2</sup> N
-d) 1.5 x 10<sup>3</sup> N
-e) 3.2 x 10<sup>3</sup> N
===3===
{<!--a16OscillationsWaves_amplitudes_1-->A 0.111 kg mass is on a spring that causes the frequency of oscillation to be 63 cycles per second.  The maximum velocity is 20.3 m/s.  What is the maximum force on the mass?}
-a) 1.9 x 10<sup>2</sup> N
-b) 4.1 x 10<sup>2</sup> N
+c) 8.9 x 10<sup>2</sup> N
-d) 1.9 x 10<sup>3</sup> N
-e) 4.1 x 10<sup>3</sup> N
===4===
{<!--a16OscillationsWaves_amplitudes_1-->A 0.062 kg mass is on a spring that causes the frequency of oscillation to be 65 cycles per second.  The maximum velocity is 70.2 m/s.  What is the maximum force on the mass?}
+a) 1.8 x 10<sup>3</sup> N
-b) 3.8 x 10<sup>3</sup> N
-c) 8.3 x 10<sup>3</sup> N
-d) 1.8 x 10<sup>4</sup> N
-e) 3.8 x 10<sup>4</sup> N
===5===
{<!--a16OscillationsWaves_amplitudes_1-->A 0.177 kg mass is on a spring that causes the frequency of oscillation to be 71 cycles per second.  The maximum velocity is 60.9 m/s.  What is the maximum force on the mass?}
-a) 2.2 x 10<sup>3</sup> N
+b) 4.8 x 10<sup>3</sup> N
-c) 1 x 10<sup>4</sup> N
-d) 2.2 x 10<sup>4</sup> N
-e) 4.8 x 10<sup>4</sup> N
===6===
{<!--a16OscillationsWaves_amplitudes_1-->A 0.187 kg mass is on a spring that causes the frequency of oscillation to be 34 cycles per second.  The maximum velocity is 90.3 m/s.  What is the maximum force on the mass?}
-a) 1.7 x 10<sup>2</sup> N
-b) 3.6 x 10<sup>2</sup> N
-c) 7.8 x 10<sup>2</sup> N
-d) 1.7 x 10<sup>3</sup> N
+e) 3.6 x 10<sup>3</sup> N
===7===
{<!--a16OscillationsWaves_amplitudes_1-->A 0.035 kg mass is on a spring that causes the frequency of oscillation to be 36 cycles per second.  The maximum velocity is 60.7 m/s.  What is the maximum force on the mass?}
-a) 1 x 10<sup>2</sup> N
-b) 2.2 x 10<sup>2</sup> N
+c) 4.8 x 10<sup>2</sup> N
-d) 1 x 10<sup>3</sup> N
-e) 2.2 x 10<sup>3</sup> N

===2===
{<!--a16OscillationsWaves_amplitudes_2-->A spring with spring constant 5.9 kN/m is attached to a 6.5 gram mass.  The maximum acelleration is 3.6 m/s<sup>2</sup>.  What is the maximum displacement?}
-a) 1.25 x 10<sup>-6</sup> m
+b) 3.97 x 10<sup>-6</sup> m
-c) 1.25 x 10<sup>-5</sup> m
-d) 3.97 x 10<sup>-5</sup> m
-e) 1.25 x 10<sup>-4</sup> m
===3===
{<!--a16OscillationsWaves_amplitudes_2-->A spring with spring constant 7.8 kN/m is attached to a 2.5 gram mass.  The maximum acelleration is 6.8 m/s<sup>2</sup>.  What is the maximum displacement?}
-a) 6.89 x 10<sup>-7</sup> m
+b) 2.18 x 10<sup>-6</sup> m
-c) 6.89 x 10<sup>-6</sup> m
-d) 2.18 x 10<sup>-5</sup> m
-e) 6.89 x 10<sup>-5</sup> m
===4===
{<!--a16OscillationsWaves_amplitudes_2-->A spring with spring constant 2.9 kN/m is attached to a 6.7 gram mass.  The maximum acelleration is 3.8 m/s<sup>2</sup>.  What is the maximum displacement?}
-a) 8.78 x 10<sup>-8</sup> m
-b) 2.78 x 10<sup>-7</sup> m
-c) 8.78 x 10<sup>-7</sup> m
-d) 2.78 x 10<sup>-6</sup> m
+e) 8.78 x 10<sup>-6</sup> m
===5===
{<!--a16OscillationsWaves_amplitudes_2-->A spring with spring constant 7.8 kN/m is attached to a 5.7 gram mass.  The maximum acelleration is 5.9 m/s<sup>2</sup>.  What is the maximum displacement?}
-a) 1.36 x 10<sup>-7</sup> m
-b) 4.31 x 10<sup>-7</sup> m
-c) 1.36 x 10<sup>-6</sup> m
+d) 4.31 x 10<sup>-6</sup> m
-e) 1.36 x 10<sup>-5</sup> m
===6===
{<!--a16OscillationsWaves_amplitudes_2-->A spring with spring constant 9.6 kN/m is attached to a 9.1 gram mass.  The maximum acelleration is 1.6 m/s<sup>2</sup>.  What is the maximum displacement?}
-a) 4.8 x 10<sup>-7</sup> m
+b) 1.52 x 10<sup>-6</sup> m
-c) 4.8 x 10<sup>-6</sup> m
-d) 1.52 x 10<sup>-5</sup> m
-e) 4.8 x 10<sup>-5</sup> m
===7===
{<!--a16OscillationsWaves_amplitudes_2-->A spring with spring constant 2.5 kN/m is attached to a 7.7 gram mass.  The maximum acelleration is 1.2 m/s<sup>2</sup>.  What is the maximum displacement?}
-a) 3.7 x 10<sup>-8</sup> m
-b) 1.17 x 10<sup>-7</sup> m
-c) 3.7 x 10<sup>-7</sup> m
-d) 1.17 x 10<sup>-6</sup> m
+e) 3.7 x 10<sup>-6</sup> m

===2===
{<!--a16OscillationsWaves_amplitudes_3-->A spring of spring constant 8.7 kN/m causes a mass to move with a period of 5.2 ms. The maximum displacement is 7.1 mm.  What is the maximum kinetic energy?}
+a) 2.19 x 10<sup>-1</sup> J
-b) 6.93 x 10<sup>-1</sup> J
-c) 2.19 x 10<sup>0</sup> J
-d) 6.93 x 10<sup>0</sup> J
-e) 2.19 x 10<sup>1</sup> J
===3===
{<!--a16OscillationsWaves_amplitudes_3-->A spring of spring constant 8.4 kN/m causes a mass to move with a period of 2.2 ms. The maximum displacement is 2.1 mm.  What is the maximum kinetic energy?}
-a) 1.85 x 10<sup>-3</sup> J
-b) 5.86 x 10<sup>-3</sup> J
+c) 1.85 x 10<sup>-2</sup> J
-d) 5.86 x 10<sup>-2</sup> J
-e) 1.85 x 10<sup>-1</sup> J
===4===
{<!--a16OscillationsWaves_amplitudes_3-->A spring of spring constant 2.1 kN/m causes a mass to move with a period of 1.4 ms. The maximum displacement is 6.6 mm.  What is the maximum kinetic energy?}
-a) 1.45 x 10<sup>-3</sup> J
-b) 4.57 x 10<sup>-3</sup> J
-c) 1.45 x 10<sup>-2</sup> J
+d) 4.57 x 10<sup>-2</sup> J
-e) 1.45 x 10<sup>-1</sup> J
===5===
{<!--a16OscillationsWaves_amplitudes_3-->A spring of spring constant 6.9 kN/m causes a mass to move with a period of 8.6 ms. The maximum displacement is 2.3 mm.  What is the maximum kinetic energy?}
-a) 5.77 x 10<sup>-3</sup> J
+b) 1.83 x 10<sup>-2</sup> J
-c) 5.77 x 10<sup>-2</sup> J
-d) 1.83 x 10<sup>-1</sup> J
-e) 5.77 x 10<sup>-1</sup> J
===6===
{<!--a16OscillationsWaves_amplitudes_3-->A spring of spring constant 4.9 kN/m causes a mass to move with a period of 8.8 ms. The maximum displacement is 2.1 mm.  What is the maximum kinetic energy?}
-a) 3.42 x 10<sup>-3</sup> J
+b) 1.08 x 10<sup>-2</sup> J
-c) 3.42 x 10<sup>-2</sup> J
-d) 1.08 x 10<sup>-1</sup> J
-e) 3.42 x 10<sup>-1</sup> J
===7===
{<!--a16OscillationsWaves_amplitudes_3-->A spring of spring constant 2.9 kN/m causes a mass to move with a period of 5.2 ms. The maximum displacement is 3.8 mm.  What is the maximum kinetic energy?}
-a) 2.09 x 10<sup>-3</sup> J
-b) 6.62 x 10<sup>-3</sup> J
+c) 2.09 x 10<sup>-2</sup> J
-d) 6.62 x 10<sup>-2</sup> J
-e) 2.09 x 10<sup>-1</sup> J

===2===
{<!--a16OscillationsWaves_amplitudes_4-->A spring with spring constant 1.7 kN/m undergoes simple harmonic motion with a frequency of 3.9 kHz.  The maximum force  is 8.6 N.  What is the total energy?}
-a) 2.18 x 10<sup>-4</sup> J
-b) 6.88 x 10<sup>-4</sup> J
-c) 2.18 x 10<sup>-3</sup> J
-d) 6.88 x 10<sup>-3</sup> J
+e) 2.18 x 10<sup>-2</sup> J
===3===
{<!--a16OscillationsWaves_amplitudes_4-->A spring with spring constant 2.8 kN/m undergoes simple harmonic motion with a frequency of 8.5 kHz.  The maximum force  is 8.2 N.  What is the total energy?}
+a) 1.2 x 10<sup>-2</sup> J
-b) 3.8 x 10<sup>-2</sup> J
-c) 1.2 x 10<sup>-1</sup> J
-d) 3.8 x 10<sup>-1</sup> J
-e) 1.2 x 10<sup>0</sup> J
===4===
{<!--a16OscillationsWaves_amplitudes_4-->A spring with spring constant 2.7 kN/m undergoes simple harmonic motion with a frequency of 3.1 kHz.  The maximum force  is 6.3 N.  What is the total energy?}
-a) 2.32 x 10<sup>-3</sup> J
+b) 7.35 x 10<sup>-3</sup> J
-c) 2.32 x 10<sup>-2</sup> J
-d) 7.35 x 10<sup>-2</sup> J
-e) 2.32 x 10<sup>-1</sup> J
===5===
{<!--a16OscillationsWaves_amplitudes_4-->A spring with spring constant 1.2 kN/m undergoes simple harmonic motion with a frequency of 5.3 kHz.  The maximum force  is 1.5 N.  What is the total energy?}
-a) 2.96 x 10<sup>-5</sup> J
-b) 9.38 x 10<sup>-5</sup> J
-c) 2.96 x 10<sup>-4</sup> J
+d) 9.38 x 10<sup>-4</sup> J
-e) 2.96 x 10<sup>-3</sup> J
===6===
{<!--a16OscillationsWaves_amplitudes_4-->A spring with spring constant 7.7 kN/m undergoes simple harmonic motion with a frequency of 4.4 kHz.  The maximum force  is 9.4 N.  What is the total energy?}
-a) 5.74 x 10<sup>-5</sup> J
-b) 1.81 x 10<sup>-4</sup> J
-c) 5.74 x 10<sup>-4</sup> J
-d) 1.81 x 10<sup>-3</sup> J
+e) 5.74 x 10<sup>-3</sup> J
===7===
{<!--a16OscillationsWaves_amplitudes_4-->A spring with spring constant 1.1 kN/m undergoes simple harmonic motion with a frequency of 8.4 kHz.  The maximum force  is 3.8 N.  What is the total energy?}
-a) 6.56 x 10<sup>-4</sup> J
-b) 2.08 x 10<sup>-3</sup> J
+c) 6.56 x 10<sup>-3</sup> J
-d) 2.08 x 10<sup>-2</sup> J
-e) 6.56 x 10<sup>-2</sup> J