Two cars, A and B, are held by the two pistons of a hydraulic press at the same
horizontal level. Car A weighs 3,400 N, and car B weighs 2,850 N. Calculate the
ratio between the area of the piston car A is sitting on and the area of the piston
car B is sitting on.
A block with mass M is at rest on a frictionless, horizontal surface. The block is attached to an ideal, massless spring that initially is in equilibrium.
A riffle bullet with mass mp is fired with speed vb into the block and embeds itself in the block. The impact compresses the spring over a distance D. The block and bullet oscillate in simple harmonic motion.
(a) Calculate the angular frequency ω of the oscillation.
(b) When time t=0 is defined as the instant of impact, the positive x-axis is pointing to the right, and x=0 is the initial position of the block before impact, give an expression x(t) for the time dependent position of the block and bullet. Assume that the impact itself takes no time.
1, A simple pendulum 0.4m long as a period of 1.3sec. what is the period of a similar pendulum 0.3m long in the same location.
The quantum numbers of two electrons in a two-valance electron atom are:
n1=6, l1=1, s1=1/2 and
n2=5, l2=1, s2=1/2.
Assuming L-S coupling, find possible spectroscopic terms. Show them in an energy level diagram.
For hydrogen, an electron is in 2p state. Obtain the magnitude of orbital angular momentum and possible
z-components of orbital angular momentum 𝐿⃗ . What would be the possible values of total angular
momentums (𝐽 ) and associated magnetic moments 𝜇𝐽
⃗⃗⃗
For hydrogen, an electron is in 2p state. Obtain the magnitude of orbital angular momentum and possible
z-components of orbital angular momentum 𝐿⃗ . What would be the possible values of total angular
momentums (𝐽 ) and associated magnetic moments 𝜇𝐽
⃗⃗⃗
a railroad engine moves forward along a straight section of track for a distance of 15 m due west at a constant speed of 3.4m/s. It then immediately stops, reverses its direction and travel east at a constant speed of 4.3m/s.
a) What is the time required for the entire process?
What is the pressure 8000 ft below the surface of the ocean? In SI and English units.
1. A convex mirror has a focal length of -0.90 m. An object with a height of 0.40 m is 2.5 m from the mirror. a) Calculate the image distance b) Calculate the image height.
An old-style elevator is connected to a counterweight by a cable that passes
over a rotating disk that is 3.7 meters in diameter. With the cable not slipping and turning with the disc, the elevator is raised and lowered by turning the disc. a. How many turns should the disc make to raise the elevator at 0.5 m/s. b. The elevator should accelerate at a quarter of the acceleration due to gravity
to start the elevator moving. Calculate the disc's angular acceleration. c. How many revolutions has the disc spun when it has raised the elevator 5
m between floors?