1. Suppose you are driving a 500-kg Zamboni when it suddenly breaks down, forcing you to get out and push. You apply a force of 85 N on the machine, which experiences a constant frictional force of 5 N. How long (in seconds) will it take to push the Zamboni the remaining 40 m?

2. The coefficient of static friction between Kylo Ren's shoes and the floor of Starkiller Base is 0.21. How large (in Newtons) is the frictional force acting on his 90 kg body when he stands on an incline that forms an angle of 20^owith the horizontal?

3. A 4 kg box is placed on a ramp that forms an angle of 26^o with the horizontal. The coefficient of friction between the ramp and the box is 0.25. How long will it take the box to slide (from rest) 18 m to the bottom of the ramp?

4.

The Atwood machine is a simple device in which an object is suspended over a pulley and attached to another as shown:

Find the acceleration of block m₁ in m/s², assuming it has a mass of 9 kg and m₂ has a mass of 6 kg (ignore the mass of the pulley and friction in the axel).

5. While camping, you decide it is imperative to protect your beef jerky from those jerk raccoons that have been following you for miles. You suspend your cooler in the air, using two ropes tied to trees as shown:

Assuming =20^o and =35^o, find the tension in the rope on the left (in Newtons).

6. A tugboat traveling through Venice is pulling two smaller boats behind it using tow cables. The tugboat is connected to boat A, which has a mass of 300 kg and experiences a constant drag force of 70 N from the water. Boat A is connected via tow cable to boat B, which has a mass of 400 kg and experiences a drag force of 85 N. The tension in the cable between the tugboat and boat A is 2800 N. Find the acceleration of boat b (in m/s²).

7. A turtle is pushing a 2.5 kg rock across a flat surface through the desert. The turtle is applying a force of 10 N on the rock, which moves at a constant velocity. How much frictional force does the rock experience (in Newtons)?

8.

Consider the configuration shown below:

in which M₁ is being pulled up a ramp by M₂, which is descending due to the force of gravity. M₁ is experiencing a constant frictional force, which causes it to move at a constant velocity. If ,M₁ = 16 kg, and M₂ = 12 kg, what is the coefficient of friction between the block and the ramp? (ignore the mass of the pulley)

what is the short circuit current (Isc) and open circuit voltage (Voc) and how can I obtain those value from a I-V curve?

Define and discuss both ASTM grain size and Vickers hardness in details.
I need a full and detailed answer with references.

A steel ball is dropped from a diving platform (with an initial velocity of zero). Using the approximate value of g = 10 m/s2 (a) Through what distance does the ball fall in the first 0.3 seconds of its flight? (b) How far does it fall in the first 4.9 seconds of its flight?

If charges Q₁=25nC is located at (0,0) and charge Q₂=-15nC is located at (2m,0). (a) Find the resultant force on a third charge Q₀=20nC located at (2m,2m), and (b) find the electric field due to the three charges at the point (1m,1m).

A quasiparticle of mass m is trapped by an extended crystal defect, which has a shape of a narrow, straight tube of length l. The quasiparticle hence is confined to move within this defect. Consider that the tube of this defect is sealed at both ends with potential V = 0 inside the tube. Treat the defect as a 1D infinite square well. Assume that this tube defect is placed at an angle Θ relative to the surface of the earth. The quasiparticle experiences the usual gravitational potential V = mgh. Calculate the lowest order change in the energy of the ground state due to the gravitational potential.

A hollow aluminum cylinder 15.5 cm deep has an internal capacity of 2.000 L at 22.0°C. It is completely filled with turpentine at 22.0°C. The turpentine and the aluminum cylinder are then slowly warmed together to 80.0°C. (The average linear expansion coefficient for aluminum is 24 ✕ 10−6°C−1, and the average volume expansion coefficient for turpentine is 9.0 ✕ 10−4°C−1.)

a) How much turpentine overflows?

b) What is the volume of turpentine remaining in the cylinder at 80.0°C? (Give your answer to at least four significant figures.)

c) If the combination with this amount of turpentine is then cooled back to 22.0°C, how far below the cylinder's rim does the turpentine's surface recede?

Give the VHDl code for your an 8-to-3 priority encoder using two 4-to-2 priority encoders and any additional necessary gates. Use port maps and code the structural behavior using logic gates not if else statements.

Calculate the commutators of angular momentum
(a) [x,L_x],[y,L_x],[z,L_x]

(b) [p_x,L_x],[p_y,L_x],[p_z,L_x]

A quasiparticle of mass m is trapped by an extended crystal defect, which has a shape of a narrow, straight tube of length l. The quasiparticle hence is confined to move within this defect. Consider that the tube of this defect is sealed at both ends with potential V = 0 inside the tube. Treat the defect as a 1D infinite square well. Assume that this tube defect is placed at an angle Θ relative to the surface of the earth. The quasiparticle experiences the usual gravitational potential V = mgh. Calculate the lowest order change in the energy of the ground state due to the gravitational potential.

An electron (in a hydrogen atom) in the n=5 state drops to the n=2 state by undergoing two successive downward jumps. What are all possible combinations of the resulting photon wavelengths?

While out on your 3rd floor apartment balcony, you notice someone drop a 8.0 kg ball from rest from the roof of the 5 story building across the street. You know that the two identical buildings are 34 m apart, and have floors that are 5.0 m tall. The first floor is at ground level.

m = 8.0 kg

d = 34 m

h = 5.0

(a) determine the magnitude of the angular momentum of the ball, in kilogram meters squared per second, as observed by you immediately after it is dropped.

(b) determine the magnitude of the angular momentum of the ball, in kilogram meters squared per second, as observed by you as it passes the floor of the 4th floor balcony of the other building.

(c) determine the magnitude of the angular momentum of the ball, in kilogram meters squared per second, as observed by you as it passes the floor of the 3th floor balcony of the other building (directly across from you).

(d) determine the magnitude of the angular momentum of the ball, in kilogram meters squared per second, as observed by you as it passes the floor of the 2th floor balcony of the other building.

(e) determine the magnitude of the angular momentum of the ball, in kilogram meters squared per second, as observed by you immediately before it hits the ground, at the bottom of the first floor..

Consider the situation of two particles which have equal but opposite charges, +Q and -Q. The particles have identical mass. Discuss the following situations in terms of their motion and the work done on them by the relevant field. Where relevant, also provide a short discussion of the implications of these effects on the properties of the charged particles. If necessary, include diagrams to illuminate your solution.

(a) For the positive charge, the charge is stationary, and it is placed in a uniform electric field directed to the right (the +x-direction).

(b) For the positive charge, the charge is moving upwards (the +y-direction), and it is placed in a uniform electric field directed to the right (the +x-direction).

(c) For the negative charge, the charge is initially stationary and it is placed in a uniform magnetic field directed to the right (the +x-direction).

(d) For the positive charge, the charge is moving upwards (in the +y-direction) at constant velocity, and it is placed in a uniform magnetic field directed to the right (the +x-direction).

List out at least two uses for an RC circuit and explain how the RC would affect the use.

Use a computer to make two plots of the Boltzmann, Fermi-Dirac, and Bose-Einstein distributions functions versus x=(LaTeX: \epsilon-\mu ϵ − μ )/kT. For one make both axes linear. For the other make the y-axis logarithmic, and indicate the x- and y- ranges where the distribution functions agree to better than one percent.