Mechanics | Relativity Answers

A typical laboratory centrifuge rotates at 4000 rpm. Test tubes have to be placed into a
centrifuge very carefully because of the very large accelerations.

(a) What is the acceleration at the end of a test tube that is 10 cm from the axis of rotation?
(b) For comparison, what is the magnitude of the acceleration a test tube would experience
if dropped from a height of 1.0 m and stopped in a 1.0-ms-long encounter with a hard
floor?

You are on top of a physics building, 46.0 m above the ground (see figure). Your physics teacher,
who is 1.8 m tall, is walking alongside the building at a constant speed of 1.2 m/s. If you wish to drop an egg on your teacher’s head, what distance should the teacher be with respect to the target point when you release the egg? Assume that the egg is in free fall.

Your favorite FM radio station has a wavelength of 2.829 meters. Convert that length to feet using the centimeter to inch conversion factor.

Is it true or false: The force of gravity acting on a baseball can be read directly using an equal arm balance

Two paper screens A and B are seperated by distance 100m. A bullet penetrates A and B at points P and Q respectively, where Q is 10 cm below P. If bullet is travelling horizontally at the time of hitting A, the velocity of bullet at A is

A stone is thrown into a water pond forming 10 waves in 5 seconds. The diameter of the first crest is 13meter and the diameter of the last crest is 4 meter . Find the wavelength.

A rope suspended from a ceiling supports an object of weight W at its opposite end. Another rope tied to the first at the middle is pulled horizontally with a force of 30N. The junction P of the ropes is in equilibrium. Calculate the weight W and the tens
27.2N and 39.2N
40.5N and 62.5N
30.4N and 53.7N
16.6N and 27.3N

A stationary observer at a railway station sees a passenger in a railway coach that is in motion at constant speed in a straight and horizontal track. Which of the following best describes the frames of reference from both the observer and the passenger describe each other's motion?
relativistic
inertial
constant
uniform

Stones are thrown horizontally with the same velocity from the tops of two different buildings. One stone lands twice as far from the base of the building from which it was thrown as does the other stone. Find the ratio of the height of the taller building to the height of the shorter building

A small sphere of mass m suspended by a thread is first taken aside so that the thred forms the right angle with the virtical and then released. Find:
(a)the total accleration of the sphere and the thread tension as a function of θ, the angle of defliction of the thred from the virtical.