Ball 1, with a mass of 100g and traveling at 12.0m/s , collides head on with ball 2, which has a mass of 340gand is initially at rest.

A. What are final velocities of each ball if the collision is perfectly elastic? (v_fx)₁ , (v_fx)₂

B. What are final velocities of each ball if the collision is perfectly inelastic?

A solid disk with r = 1m and M = 1kg falls from unwinding string (as in a primitive yo-yo).

(a) use conservation of energy to find linear speed v once the disk lowers by h = 50cm.

(b) from h = v2/2a find the linear acceleration a

(c) find α, the angular acceleration

While taking photographs in Death Valley on a day when the temperature is 62.0

Sunspots are cooler than the surrounding region of the Suns surface True or False

The Sun is a main-sequence star  True or False

All stars are made primarily of hydrogen and helium at birth : True or False

The distance to nearby stars can be measured by parallax   True or False

It is impossible to measure stellar mass in binary systems   True or False

Stars near the lower right of the main sequence are lower in mass and have longer lifetimes than stars further up the main sequence : True or F

High mass stars die in supernovae explosion: tRUE OF False

Pulsars are rotating neutron stars with magnetic fields : True or False

A white dwarf is supported by electron degeneracy pressure : True or False

You push a block of mass 24kg up a frictionless ramp that makes an angle 0.4189rad as measured from horizontal. Immediately after the block leaves your hands it has a velocity of magnitude 11m/s. The block travels up the ramp, reaches its highest point, and heads back down the ramp.

When is the magnitude of the block's acceleration the greatest?

a) On its way up the ramp.

b) On its way down the ramp.

c) At its highest point.

d) The magnitude of the net force on the block is constant throughout its motion.

A 0.500 kg hammer is moving horizontally at 6.50 m/s when it strikes a nail and comes to rest after driving it 1.00 cm into a board.
(a) Calculate the duration of the impact in seconds. 
(b) Calculate the impulse imparted. 
(c) What was the average force exerted on the nail?

(a) 0.00308 s   (b) 6.25 kg.m/s    (c) 6055 N

(a) 0.30342 s   (b) 3.25 kg.m/s    (c) 1055 N

(a) 0.00308 s   (b) 3.25 kg.m/s    (c) 1655 N

(a) 0.00308 s   (b) 3.25 kg.m/s    (c) 1055 N

(a) 0.00308 s   (b) 1.25 kg.m/s    (c) 1055 N

 A thin block of soft wood with a mass of 0.070 kg rests on a horizontal frictionless surface. A bullet with a mass of 4.67 g is fired with a speed of 629 m/s at a block of wood and passes completely through it. The speed of the block is 25 m/s immediately after the bullet exits the block.
(a) Determine the speed of the bullet as it exits the block. 
(b) Determine the loss of kinetic energy of this system (block and bullet).

Question 3 options:

(a) 254 m/s    (b) 173 J

(a) 254 m/s    (b) 924J

(a) 654 m/s  (b) 751 J

(a) 254 m/s    (b) 751 J

(a) 466 m/s    (b) 751 J

A person with mass mp=80 kg is standing at rest on a horizontal, frictionless surface holding a ball of wet clay with mass mg=10 kg . In front of the person is a large block with mass M=20 kg at rest next to a spring with stiffness k=100 N/m . The person throws the ball horizontally, it sticks to the block, and then ball and block slide and compress the spring a distance 1=0.75 m away from equilibrium before the ball-block springs back toward the person. (Assume the distance the ball is thrown is short, so that we can ignore the vertical component of its velocity.)

a) Draw the following moments in time with the given labels: At t=0, the person is holding the ball and all objects are rest. At t=1 the ball has left the person's hands. At t=2 the ball and block move together with speed V2. At t=3; the ball and block have fully compressed the spring. At t=4 the ball and block are sliding back toward the person, At t=5 the person, the ball, and the block are all moving together, HINT: Include a coordinate system! Remember that momentum is a VECTOR and energy is a SCALAR.

b) Find V2 (the speed of the ball and the block just before they start compressing the spring)

c) Find VB. (the speed of the ball after it was thrown, but before it hits the block)

d) Find Vp (the speed of the person after the ball was thrown)

e) Find Vs (the speed at which the person, ball, and block move after the ball and block bounced back off the spring and collided with the person)

f) If it takes 0.2 seconds for the person and the ball-block to get to the same velocity, find the impulse on the person due to the ball-block. AND find the force on the person due to the ball-block,

The length of nylon rope from which a mountain climber is suspended has a force constant of 1.18 ✕ 10⁴ N/m.

A) What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 78.0 kg?

B) How much would this rope stretch (in cm) to break the climber's fall if he free-falls 2.00 m before the rope runs out of slack? Hint: Use conservation of energy.

C) Repeat both parts of this problem in the situation where twice this length of nylon rope is used.

frequency (in Hz)

stretch length (in cm)

For wavelengths of two lines in a vacuum measuring 3033.71 and 3033.75 angstroms.

(a) Calculate the frequency for both wavelengths

(b) calculate the index of refraction for air (at the frequency of the lower wavelength.

(c) A light source emits only at the lower wavelength (3033.71 angstroms) and is directed into a Michelson interferometer. If the moving mirror in the interferometer travels at a velocity of 0.15cm/sec and moves a total distance of 0.40 cm what would the resulting interferogram look like? sketch intensity vs retardation that would be obtained.

(d) Calculate the frequency of the resulting interferogram

(e) Would this interferometer be able to "barely resolve" the two emission lines at 3033.71 and 3033.75 angstroms?

What is the theory of relativity?

1. A rectangular lamina has vertices (0,0), (0,2), (3,0), (3,2) and density σ = xy (in kg/m²). Find a) the mass M of the lamina b) x_CM and c) y_CM. (Answers: a) M = 9 kg, b) x_CM = 2 m, c) y_CM = 4/3 m)

Two resistors have resistances R(smaller) and R(larger), where R(smaller) < R(larger). When the resistors are connected in series to a 12.0-V battery, the current from the battery is 1.48 A. When the resistors are connected in parallel to the battery, the total current from the battery is 10.9 A. Determine the two resistances. R(smaller)= R(larger)=

The coordinates of an object moving in the xy plane vary with time according to the equations x = −5.08 sin ωt and y = 4.00 − 5.08 cos ωt, where ω is a constant, x and y are in meters, and t is in seconds.

(a) Determine the components of velocity of the object at t = 0. (Use the following as necessary: ω.) v with arrow = m/s

(b) Determine the components of the acceleration of the object at t = 0. (Use the following as necessary: ω.) a with arrow = m/s2

(c) Write expressions for the position vector, the velocity vector, and the acceleration vector of the object at any time t > 0. (Use the following as necessary: omega for ω and t.) r with arrow = m v with arrow = m/s a with arrow = m/s2

(d) Describe the path of the object in an xy plot.

Compare a nova to a Type I supernova to a Type II supernova. What do these three objects have in common? How are these three objects different?