5a) A 5-kg object travels at a constant velocity of 25 m/s east on a smooth, frictionless surface. An 8-kg object travels at a constant velocity of 55 m/s west on the same surface and then collides directly with the 5 kg-object. The two objects stick together. What is the velocity of the two-object system, just after they collide and stick together?

b) After a .20 kg street-hockey puck is hit, it has an initial velocity of 35 m/s and travels on a uniform, horizontal cement surface and uniformly slows to a stop in 6 seconds (due to the friction between the puck and the cement). What is the coefficient of kinetic friction between the puck and the cement surface?

c) A horizontal spring has a spring constant of 150 N/m. ; a 0.25 kg mass is placed at the spring's free end, on a level, horizontal, frictionless surface. The spring- mass system is compressed 12 cm, and then released from rest. What is the maximum speed, in meters per second, of the released mass?

A thin stick of length 80.0 cm and mass 120.0 g has two small spherical masses attached

to its opposite ends (treat them as point masses). One mass is 20.0 g and the other mass is

50.0 g. The stick rotates frictionlessly about a horizontal axis passing through its centre. If the

stick starts from rest in a horizontal position, what is the linear speed of the larger spherical

mass at the moment that it is passing through its lowest point?

please include any free body diagram if required

Biologists have studied the running ability of the northern quoll, a marsupial indigenous to Australia. In one set of experiments, they studied the maximum speed that quolls could run around a curved path without slipping. One quoll was running at 2.8 m/s around a curve with a radius of 1.6 mm when it started to slip.

What was the coefficient of static friction between the quoll's feet and the ground in this trial?

A cylinder with a piston contains 0.160 mol of nitrogen at 1.80×105 Pa and 310 K . The nitrogen may be treated as an ideal gas. The gas is first compressed isobarically to half its original volume. It then expands adiabatically back to its original volume, and finally it is heated isochorically to its original pressure.

a.) Find the work done by the gas during the adiabatic expansion.

b.) Find the heat added to the gas during the adiabatic expansion.

c.) Find the internal-energy change of the gas during the adiabatic expansion.

Suggest 6 ways to increase the brightness of the lamp when AC is used?

A box rests on top of a flat bed truck. The box has a mass of m = 16 kg. The coefficient of static friction between the box and truck is μ_s = 0.76 and the coefficient of kinetic friction between the box and truck is μ_k = 0.61.

1.The truck accelerates from rest to v_f = 18 m/s in t = 14 s (which is slow enough that the box will not slide). What is the acceleration of the box?

2.In the previous situation, what is the frictional force the truck exerts on the box?

3.What is the maximum acceleration the truck can have before the box begins to slide?

4.Now the acceleration of the truck remains at that value, and the box begins to slide. What is the acceleration of the box?

5.Now the acceleration of the truck remains at that value, and the box begins to slide. What is the acceleration of the box?

Three-cylinder capacitor

A capacitor consists of three concentric cylindrical shells with radii R, 2R, and 3R. The inner and outer shells are connected by a conducting wire, so they are at the same potential. The shells are initially neutral, and then some charge is transferred from the middle shell to the inner/outer shells.

a) If the final charge per unit length on the middle shell is λ, what are the charges per unit length on the inner and outer shells?

b) What is the capacitance per unit length of the system?

c) type or neat handwriting for the questions above ( I don't understand cursive a lot) I appreciate your understanding.

I have a pinhole 50 microns in size illuminated by a coherent laser beam. Now, I have a lens (75mm focal length) 1 focal length from this pinhole, what size will the beam be when it is incident on this 75mm lens?

Consider the system of capacitors shown in the figure below (C₁ = 7.00

1. What are the shapes of the following compounds?                                                        (10 pts)                                  

(i)        H₂O                                                 (ii) CO₂                                               (iii) CH₄

A spring mass system with a natural frequency fn = 12 Hz is attached to a vibration table. The table is set to vibrate at 16 Hz, 0.5 g maximum acceleration:

a. What is the amplitude of the table's motion in inches?

b. What is the magnification factor M of this undamped system?

c. What is the maximum displacement of the mass assuming no dampening?

d. What is the maximum acceleration of the mass assuming the packaging can be modeled as a viscous damper with a damping ratio of 0.2?

e. Is the motion of the mass in phase or out of phase with the motion of the table?

benift of small-scale solar photovoltaic power with battery storage ?

1. find (a)electric field and (b)magnetic field of TE waves in a rectangular waveguide.

2. find (a)electric field and (b)magnetic field of coaxial transmission line.

For a ballistic pendulum lab;

Describe in words how you used conservation of momentum in this lab. You must also explain why you were able to use conservation of momentum for this part of the problem