A 575-g block is dropped onto a relaxed vertical spring that has a spring constant k =200.0 N/m. The block becomes attached to the spring and compresses the spring 58.1 cm before momentarily stopping. While the spring is being compressed, what work is done on the block by the gravitational force on it?What is the speed of the block just before it hits the spring? (Assume that friction is negligible.)

If the speed at impact is doubled, what is the maximum compression of the spring?

Interactive Solution 8.29 offers a model for this problem. The drive propeller of a ship starts from rest and accelerates at 2.31 x 10-3 rad/s2 for 2.44 x 103 s. For the next 1.00 x 103 s the propeller rotates at a constant angular speed. Then it decelerates at 2.09 x 10-3 rad/s2 until it slows (without reversing direction) to an angular speed of 2.22 rad/s. Find the total angular displacement of the propeller.

Atoms in a solid are not stationary, but vibrate about their equilibrium positions. Typically, the frequency of vibration is about f = 4.60 x 1012 Hz, and the amplitude is about 3.55 x 10-11 m. For a typical atom, what is its (a) maximum speed and (b) maximum acceleration?

A novelty clock has a 0.0104 kg mass object bouncing on a spring that has a force constant of 1.28 N/m. How many joules of kinetic energy does the object have at its maximum velocity if the object bounces 2.77 cm above and below its equilibrium position? What is the maximum velocity of the object in m/s? Show work.

why is a 1 dimensional spectral sequence not enough to classify stellar spectra?

When the car is skidding, does kinetic friction act on the tire?

When the car is not skidding(wheels rolling), does static friction act on the tire?

If so, explain why.

A symmetrical table of height 0.780 m, length 1.30 m, and weight 431 N is dragged across the floor by a force applied to its front edge. The force is directed to the right and upward and makes an angle of 30.0° with the horizontal.

A 28.0 kg beam is attached to a wall with a hinge while its far end is supported by a cable such that the beam is horizontal. If the angle between the beam and the cable is θ = 57.0° what is the vertical component of the force exerted by the hinge on the beam?

Calculate the energies and wavelengths of the three lowest radiations emitted by H2?

What is the maximum torque on a molecule of HCl (dipole moment p = 3.60

A 24 kg mass is connected to a nail on a frictionless table by a massless string 1.1 m long. There is no appreciable friction between the nail and the string. If the tension in the string is 54 N while the mass moves in a uniform circle on the table, how long does it take for the mass to make one complete revolution? (Give answer to the nearest 0.1 s)

A runner jogs for 150 m due west (displacement A) and then turns to a direction 30.0 degrees east of south and jogs for another 100 m (displacement B). Showing all work and units, and putting boxes around your answers, calculate

(a) the total distance between her initial and final positions. (Answer: 132 m)

(b) the direction of her net displacement C as an angle θC south of west. (Answer: 41°)

I am not really sure how to start this. Could someone please help with a STEP BY STEP explanation? I know you need to find the x and y components of A and B and then square both of those and take the square root to find C, but how would I go about doing that?

One ring to rule them all. N identical beads (mass m) can move along the ring of radius R. Each bead is connected
to the one behind it and to the one in front of it by a spring of constant k. Find all normal
frequencies.

A science student is riding on a flatcar of a train traveling along a straight horizontal track at a constant speed of 10.2 m/s. The student throws a ball along a path that she judges to make an initial angle of 54.5� with the horizontal and to be in line with the track. The student's professor, who is standing on the ground nearby, observes the ball to rise vertically. How high does the ball rise? (Neglect air resistance.)