SHM Concepts
SHM Math
Gravitation Concepts
Gravitation Math
100
Period of a Spring
T = 2π√(m/k)
100
The length of a simple pendulum with a period on Earth of one second is most nearly
0.25m
100
If you move further from the earth's surface what happens to the acceleration due to gravity?
It gets lower
100
Planet Z is 10,000 km in diameter. The acceleration due to gravity on Planet Z is 8.0 m/s2.
What is the mass of Planet Z?
3*1024 kg
200
Period of a pendulum
T = 2π√L/g
200
A sewing machine needle moves with a frequency of 2.5 Hz. Approximately how long does it take it to move from the highest point to the lowest point in its travel?
0.2 s
200
What is Newton's Universal law of gravitation?
200
Two spheres with mass mA= 800 kg and mB=600 kg are separated by 0.25 m. What is the net gravitational force (in both magnitude and direction) from them on a 2.0 kg sphere located 0.2 m away from A and 0.15 m away from B?
4.4x10-6 N
300
What does amplitude refer to for an oscillating object?
The maximum displacement of the object from its equilibrium position
300
A 0.2 kg object is suspended from a spring with spring constant, k = 10 N/m, and moves with simple harmonic motion. At the instant that it is displaced from equilibrium by ‑0.05 m, what is its acceleration?
2.5 m/s2
300
If the distance between two planets is doubled, but the mass of one of the planets is also doubled, what happens to the gravitational force between them?
It is halved
300
A 50 kg satellite circles planet Cruton every 6 hours. The magnitude of the gravitational force is 80 N. What is the mass of planet Cruton?
8.6*1024 kg
400
Shown below, a spring-block system is put into SHM in two experiments. In the first, the block is pulled from the equilibrium position through a displacement d1 and then released. In the second, it is pulled from the equilibrium position through a greater displacement d2 and then released. How does the period of oscillation compare from the first experiment to the second experiment?
The period stays the same between the two experiments.
400
An object is attached to a spring and its frequency of oscillation is measured. Then another object is connected to the first object, and the resulting mass is four times the original value. By what factor is the frequency of oscillation changed?
1/2
400
What is the equation for gravitational potential energy?
U = GMm/R
400
A planet requires 300 Earth days to complete its circular orbit about its sun, which has a mass of 6.0 x 1030 kg. What is the orbital radius of the planet?
1.9*1011 m
500
Shown below, a spring-block system is put into SHM in two experiments. In the first, the block is pulled from the equilibrium position through a displacement d1 and then released. In the second, it is pulled from the equilibrium position through a greater displacement d2 and then released. How does the max kinetic energy compare from the first experiment to the second experiment?
It increases from experiment 1 to experiment 2.
500
An air track glider is attached to a spring. The glider is pulled to the right and released from rest. It then oscillates with a period of 2.0 s and a maximum speed of 40cm/s. What is the amplitude of the oscillation?
12.7 cm
500
Name all 3 of Kepler's laws.
(1) planets move in elliptical orbits with the Sun as a focus
(2) a planet covers the same area of space in the same amount of time no matter where it is in its orbit
(3) a planet's orbital period is proportional to the size of its orbit (its semi-major axis)
500
Pluto moves in a fairly elliptical orbit around the sun. Pluto’s speed at its closest approach of 4.43x109 km is 6.12 km/s. What is Pluto’s speed at the most distant point in its orbit, where it is 7.30 x109 km from the sun?
3.71 km/s