The Gravity of the Situation!
Harness Universal Energy
A Spring in my Mass
Keep it Simple, Mr. Pendulum
Extra Physics Phun
100
A satellite moves in a stable circular orbit with a speed v0 at a distance R from the center of a planet. For this satellite to move in a stable circular orbit a distance 2R from the center of the planet, the speed of the satellite must be...
(v_0)/sqrt2
100
At what altitude above Earth’s surface would the gravitational acceleration be 4.9 m/s2? Radius of the Earth is 6.4 x 106 m.
2.6 x 106 m
100
A 0.20-kg object is oscillating on a spring with a spring constant of k = 15 N/m. What is the potential energy of the system when the object displacement is 0.040 m, exactly half the maximum amplitude?
0.012 J
100
A simple pendulum of length l, whose bob has mass m, oscillates with a period T. If the bob is replaced by one of mass 4m, the period of the oscillation is
T
100
Only when this condition is met does a simple pendulum undergo simple harmonic motion.
What are small angles?
200
If a planet has a radius 20% greater than that of the Earth but has the same mass as the Earth, what is the acceleration due to gravity at its surface?
6.8 m/s2
200
A satellite revolves around the Earth in a circular orbit with a mechanical energy of −1012 J. What is its kinetic energy?
10 × 1011 J
200
I attach a 2.0-kg block to a spring that obeys Hooke's Law and supply 16 J of energy to stretch the spring. I release the block; it oscillates with period 0.30 s. The amplitude is:
19 cm
200
A pendulum of length 10 cm is hanged by wall making an angle 3 degrees with vertical. It is swung to position B. The period of the pendulum will be...
pi/5
200
The year Newton published his law of gravitation.
When is 1687?
300
A 20 kg satellite has a circular orbit with a period of 2.4 hr and a radius of 8.0 x 106 m around a planet of unknown mass. If the magnitude of the gravitational acceleration on the surface of the planet is 8.0 m/s2, is the radius of the planet?
5.82 x 106 m
300
A satellite of mass m circles a planet of mass M and radius R in an orbit at a height 2R above the surface of the planet. What minimum energy is required to change the orbit to one for which the height of the satellite is 3R above the surface of the planet?
(GmM)/(24R)
300
The motion of a particle connected to a spring is described by x = 10 sin (πt). At what time (in s) is the potential energy equal to the kinetic energy?
0.25 s
300
When the length of a simple pendulum is decreased by 600 mm, the period of oscillation is halved. What was the original length of the pendulum?
800 mm
300
Kepler hailed from this country.
What is Germany?
400
An object when orbiting the Earth at a height of three Earth radii from the center of the Earth has a weight of 2.0 N. What is the object's mass? (g at the surface of the Earth is 9.80 m/s2)
0.92 kg
400
A 50-kg satellite circles the Earth in an orbit with a period of 120 min. What minimum energy is required to change the orbit to another circular orbit with a period of 180 min?
2.9 × 108 J
400
The end point of a spring oscillates with a period of 2.0 s when a block with mass m is attached to it. When this mass is increased by 2.0 kg, the period is found to be 3.0 s. Find m.
1.6 kg
400
Suppose that a simple pendulum consists of a small 60.0 g bob at the end of a cord of negligible mass. If the angle θ (in radians) between the cord and the vertical is given by θ(t) = 0.08 cos(4.43t + φ) what is the pendulum’s maximum kinetic energy?
9.40 x 10-4 J
400
This is the critical radius at which the escape speed equals the speed of light.
What is the Schwarzschild radius?
500
Geosynchronous satellites orbit the Earth at a distance of 42000 km from the Earth's center. Their angular speed at this height is the same as the rotation rate of the Earth, so they appear stationary at certain locations in the sky. What is the force acting on a 1500-kg satellite at this height?
333 N
500
The orbit of Earth around the Sun is almost circular: The closest and farthest distances are 1.47x108 km and 1.52x108 km respectively. Determine the variation in orbital speed.
0.99 km/s
500
In the figure, two identical springs of spring constant 7580 N/m are attached to a block of mass 0.245 kg. What is the frequency of oscillation on the frictionless floor? Hint: set up a net force equation.
39.6 Hz
500
Intruder alert! A physical pendulum 😨 consists of two meter‐long sticks joined together. What is the pendulum’s period of oscillation about a pin inserted through point A at the center of the horizontal stick?
1.83 s
500
A twisted wire exerts a restoring torque on the object that is proportional to its angular position in this kind of pendulum.
What is torsional?