UCM
Spacecraft X has twice the mass of Spacecraft Y. They orbit Earth at the same radius. What must be true about the gravitational force each spacecraft experiences?
X feels a greater gravitational force than Y
A compact disc has a radius of 6 cm. If the disc rotates about its central axis at an angular speed of 5 rev/s, what is the linear speed of a point on the rim of the disc?
1.9 m/s
A centripetal force F is applied to an eraser moving at a constant speed v in a horizontal circle of radius r. If the same force is applied, but the radius is halved, what happens to the speed of the eraser?
Decreased by a factor of sqrrt2
The distance L between the top of the cord and the center of the bob is 1.7 m. The cord makes an angle of 37 degrees with the vertical. Find the period of the motion.
2.31 s
What language does the word "waffle" come from?
Dutch
A .013kg rubber ball is attached to a 0.93m string. The ball is swung in a horizontal circle on a frictionless table, making one revolution in 1.18 seconds.
(A) With what speed is the ball traveling?
(B) Find the tension force exerted by the string on the ball
4.95 m/s
0.34 N
Joe and Alice are sitting on opposite ends of a seesaw. The fulcrum is beneath the center of the seesaw, which has a length of 4 m. Given that Joe’s mass is 60 kg and Alice’s mass is 30 kg, what will be the magnitude of the net torque on the seesaw when it is perfectly level?
600 Nm
A motorcyclist moves at a constant speed down one hill and up another hill along the smooth curved surface (assume moving from left to right). When the motorcyclist reaches the lowest point of the curve its velocity and acceleration directions are...
(use left, right, up or down)
v left, a up (think centripetal acceleration)
Find the period of revolution for the planet Mercury, whose average distance from the sun is 5.79 x 10^10 m. (Mass of the sun is 2 x 1030kg)
7,578,397.6 s
In order to solve a container shortage at a local fair, what other food utilized waffles to fix the problem, and has been used ever since?
Ice cream, waffle cone
Mars travels at an average speed of 2.41×10^4 m/s around the Sun, and takes 5.94×10^7 s to complete one revolution. How far is the center of Mars from the center of the Sun?
2.28x10^11m
A uniform meter stick of mass 1 kg is hanging from a thread attached at the stick’s midpoint. One block of mass m = 3kg hangs from the left end of the stick, and another block, of unknown mass M, hangs below the 80 cm mark on the meter stick. If the stick remains at rest in the horizontal position above, what is M?
5 kg
Is it possible for an object moving with a constant speed to accelerate? Explain.
Yes, although the speed is constant, the direction of the velocity can be changing.
Find the altitude above the surface of the Moon where a “lunasynchronous” satellite would orbit. The period of a lunar day is 27.332 days. (Rm = 1,736,482 m, Mm = 7.34767309 × 1022 kg)
86,735,939.7m
What was the original name of Belgium waffles? (Hint: It has to do with the place Belgium waffles come from)
Brussels waffles
Determine the minimum angle at which a frictionless road should be banked so that a car traveling at 20.0 m/s can safely negotiate the curve if the radius of the curve is 200.0 m.
11.3 degrees
The moment of inertia of a solid uniform sphere of mass M and radius R is given by the equation I=25MR2. Such a sphere is released from rest at the top of an inclined plane of height h, length L, and incline angle θ. If the sphere rolls without slipping, find its speed at the bottom of the incline.
sqrt((10gh)/7)
An object m is tied to one end of a string, moves in a circle with a constant speed v on a horizontal frictionless table. The second end of the string is connected to a big mass M and goes through a small hole in the table. What is the value of M if it stays in equilibrium?
Fc=Fg; mv2/r=Mg so mv2/rg
In the figure below, the pulley is a solid disk of mass M and radius R, with rotational inertia MR2/2. Two blocks, one of mass m1 and one of mass m2 , hang from the either side of the pulley by a light cord. Initially the system is at rest, with Block 1 on the floor and Block 2 held at height h above the floor. Block 2 is then released and allowed to fall. Give your answers in terms of m1 , m2 , M, R, h, and g.
What is the speed of Block 2 just before it strikes the ground?
sqrt((2gh(m2-m1)/(m1 + m2 + 0.5M))
Determine the velocity that a car should have while traveling around a frictionless curve of radius 100m and that is banked 20 degrees.
19.08 m/s
When a cylinder rolls down an inclined plane without slipping, which force is responsible for providing the torque that causes rotation?
The force of static friction
A planet is discovered to orbit around a star in the galaxy Andromeda, with the same orbital diameter as the Earth around our Sun. If that star has 4 times the mass of our Sun, what will the period of revolution of that new planet be, compared to the Earth's orbital period?
One half as much. Use law of universal gravitation.
In the figure below, the pulley is a solid disk of mass M and radius R, with rotational inertia MR2/2. Two blocks, one of mass m1 and one of mass m2 , hang from the either side of the pulley by a light cord. Initially the system is at rest, with Block 1 on the floor and Block 2 held at height h above the floor. Block 2 is then released and allowed to fall. Give your answers in terms of m1 , m2 , M, R, h, and g.
What’s the angular displacement of the pulley?
How long does it take for Block 2 to fall to the floor?
h/R
In the United States, if you go to the South, you are less likely to find waffles and more likely to find what served with gravy?