A 0.550 kg metal cylinder is placed inside the top of a plastic tube, the lower end of which is sealed off by an adjustable plunger, and comes to rest some distance above the plunger. The plastic tube has an inner radius of 7.41 mm, and is frictionless. Neither the plunger nor the metal cylinder allow any air to flow around them. If the plunger is suddenly pushed upwards, increasing the pressure between the plunger and the metal cylinder by a factor of 2.55, what is the initial acceleration of the metal cylinder? Assume the pressure outside of the tube is 1.00 atm.

1. Based on the centripetal force law, explain why specific speed limit sign is posted on the banked curves of the roads

2. Is it more difficult to do a sit-up with your hands stretched in front of you or with them behind your head? Explain.

3. When would a ball hitting a wall have a greater change in momentum: when it hits the wall and bounces back at the same speed or when it hits and sticks to the wall? Explain.

A ladder of length 2L and mass M is positioned on level ground leaning against a wall such

that the angle between the ladder and the horizontal is α. The coefficient of static friction

between the ladder and the wall and between the ladder and the ground is μstatic = 0.65. The

centre of mass of the ladder is halfway along it.

(b) Draw a diagram indicating all the forces acting on the ladder, and state what each force

represents. Also show the direction of the x- and y-axes you will use. (Hint: there are 2

forces acting at the top of the ladder, 2 forces acting on the bottom of the ladder and 1 force

acting at its centre.)

(c) For the ladder to be in mechanical equilibrium:

(i) Write down equations for the total x- and y-components of the 5 forces acting on the

ladder.

(ii) Consider torques about the centre of the ladder. In which direction (into or out of the

page) does the torque due to each of the 5 forces force act?

(iii) Write down an equation for the sum of the torques about the centre of mass of the

ladder.

(iv) Use your equation for the torques to derive an expression for tan α in terms of the

magnitudes of the forces acting.

(d)(i) If the ladder is just on the point of slipping at both the upper and lower ends, what

can you say about the pair of forces acting at each of the top and bottom of the ladder?

(ii) Hence use this information, with the information from (c)(i) and the expression you have

derived in (c)(iv) to calculate the minimum angle that the ladder can form with the ground

in order for it not to slip. (Hint : In the expression for tan α, you will need to write each of

the forces in terms of one of the normal reaction forces, which then cancel out, leaving an

expression for tan α in terms of μstatic only.)

Please answer and provide explanation on how to solve these problems. Thank you!

1) A block of mass 5.67 kg rests on a horizontal table. The block is pushed with a force of 70.2N that makes an angles of 25.0 degrees with the horizontal. The coefficient of kinetic friction between the block and surface of the table is 0.256. What is the acceleration of the block? What is its speed after traveling 2.30m?

2) The volume and the pressure of the Argon gas of 2.00 mol are 2.000L and 10.0atm respectively. The molar mass of Argon is 40.00 g/mol. Wha id the vrms speed of argon atom?

Compare this with vrms speed of hydrogen under the same conditions! Molar mass of hydrogen is 2,00g/mol.

1 atm = 10^5 Pa; 1L = 10^-3 m^3. R = 8.314 J/mol.k

3)A 250.0 g of copper calorimeter contain 500.0g of water at 20.0C. A block of mass 100.0g at 25.00C of water at 85.00C are added to the calorimeter. When thermal equilibrium is reached the final temperature of the system is 50.00C. What is the specific heat of the block?

Specific heat: Copper = 387J/kg.C; Water = 4186J/Kg.C

4) A container is filled up to the rim with 1.5L of mercury at 20C. he container is heated to 70C, 8ml of mercury spills out. Calculate the linear expansion coefficient of the container. The volume expansion of mercury is 1.8x10^-4/C. 1L = 10^-3 m^3, 1ml = 10^-3 L

if the nested solenoids were used as a step up transformer which coil would you connect the time varying current to? what is your predicted value of the ratio of the voltages?

if the nested solenoids were used as a step down transformer which coil would you connect the time varying current to? what is your predicted value of the ratio of the voltages?

Two loudspeakers emit sound waves along the x-axis. A listener in front of both speakers hears a maximum sound intensity when speaker 2 is at the origin and speaker 1 is at x = 0.450 m . If speaker 1 is slowly moved forward, the sound intensity decreases and then increases, reaching another maximum when speaker 1 is at x = 0.850 m.

A.What is the frequency of the sound? Assume v_sound =340m/s.

B. What is the phase difference between the speakers?

A mass of 1.62 kg stretches a vertical spring 0.318 m. If the spring is stretched an additional 0.137 m and released, how long does it take to reach the (new) equilibrium position again? ______s

An airplane has an effective wing surface area of 22.6 m2 that is generating the lift force. In level flight the air speed over the top of the wings is 75.0 m/s, while the air speed beneath the wings is 60.0 m/s. What is the weight of the plane?

This is the whole question, no other information was provided.

A Stirling Engine uses 8.1 x 10^-3 mol of an ideal gas, operates between hot and cold heat reservoirs of temperatures 95 degree celsius and 24 degree celsius, and runs at a rate of 0.7 cps. Q) What is the net transfer into the gas during in cycle?

A wood cube of volume 0.200 cubic meters floats with 30% of its volume above fresh water. How big is the buoyant force

3) A car rounds a circular curve of radius 80.0 m banked at 15⁰ to the horizontal at 30.0 m/s. What is the coefficient of friction required for the car not to skid? Some hints. first, set the x-axis as horizontal, and the y-axis as vertical (this is different than how we normally handle inclines). Second, there will be 3 forces: the normal force (with x- and y- components), the force of gravity (y-component only), and friction pointing down the slope (also with x- and y-components).

A one-story house is heated with natural gas, which gives off 3.890 107 J of energy for every cubic meter of gas burned. Take the average temperature difference between the inside and outside for the 120-day heating season to be 12

What is the signicance of an energy of E = 0 of the electron in a hydrogen atom

A race car starts from rest, accelerates at a constant rate of 3.8 m/s^2 for 23s, and then brakes (decelerates) at a constant rate of 5.6 m/s^2 (magnitude) until it comes to a stop. (a) Find the total distance traveled by the car before coming to rest. (b) Draw a graph of the velocity vs. time, and indicate numerical values of any “special points”on the graph.