AP Physics 1
Oscillations Review, part II
11. T = 0.8s
f = 1.25Hz
L = 0.159m
12. a = -1.5m/s2
1
13. Answer each of the following with a factor like x 2 or x 3 or x √5, etc.
a. x √3
1
b. x 64
c. x
1
3
d. x 2
e. x 9
1
f. x 50
14. A 550g cart is pulled 12cm to the right and released. It then oscillates with a period of 1.2
seconds.
a. 15.08N/m
b. 3.29m/s2
c. 0.628m/s
d. f = 0.83Hz ω = 2π·f = 5.236rad/s
e. x = 0.12cos(5.236t)
v = -0.628sin(5.236t)
a = -3.29cos(5.236t(
15. A different oscillator has a position which oscillates according to the function:
x = 22sin(8π·t).
a. A = 22
ω = 8π
b. T = 0.25s
f = 4Hz
16. A 1.25kg block is attached to a vertical spring. The spring has an unstretched length of
10cm. The block is held so that the spring is unstretched and then dropped. It falls 18cm before
pausing and then rising.
a. 136.1N/m from conservation of energy
b. Δy = 0.09m so L = 19cm
c. 0.939m/s
d. 9.8m/s2
e. T = 0.60s
f = 1.66Hz
f. Length is a negative cosine curve that oscillates between 10cm and 28cm with a period of
0.60s. Velocity is a negative sine curve that oscillates between ±0.939m/s with a period of 0.60s.
Acceleration is a negative cosine curve that oscillates between ±9.8m/s2 with a period of 0.60s.
17. A 20 g piece of clay moving at a speed of 50 m/s strikes a 500 g pendulum bob at rest. The
length of a string is 0.8 m. After the collision the clay-bob system starts to oscillate as a simple
pendulum.
a. 1.923m/s from conservation of momentum
b. 40º from conservation of energy and trigonometry
c. Approximately 1.795s
d. 0.9615J
e. 6.3m/s2 is the highest tangential acceleration
f. 7.5N
g.