2- find the center of mass, the velocity of the center of mass, the momentum the kinetic energy of the following system: m₁ = 1 kg T₁=1+2j+3 k v₁ = 2î+3ĵ m₂ = 1 kg T₂ = 1-j+ k Sudjas v₂ = 2) + 3k

The ideal gas law, discovered experimentally, is an equation of state that relates the observable state variables of the gas--pressure, temperature, and density (or quantity per volume): PV = NkBT (or pV = nRT), Figure L₂ Lx 1 of 1 Part A Find the magnitude of the average force (F) in the x direction that the particle exerts on the right-hand wall of the container as it bounces back and forth. Assume that collisions between the wall and particle are elastic and that the position of the container is fixed. Be careful of the sign of your answer. Express the magnitude of the average force in terms of m, vr, and L₂. ► View Available Hint(s) Submit Part B IVE ΑΣΦ ? Imagine that the container from the problem introduction is now filled with N identical gas particles of mass m. The particles each have different x velocities. but their average x velocity squared. denoted

Tp = Fq +°P/Q• (1) Here ip/Q is the "position of point P relative to point Q." Similarly the velocities of the two points are related by õp = bq + Up/Q- (2) The quantity õp/Q is the velocity of point P relative to point Q. I want you to use these ideas to solve the following problems. 1. The figure below shows a view from above of a large boat in the middle of the ocean. So that the crew on the ship can get exercise on long journeys, there is a circular walking/running track on the back deck. CA B- -D Suppose that the radius of the track is R = 6 m, and a person is running on the track at a constant speed of v = 3m/s as measured with a stopwatch by a crew-mate on board the ship. Suppose the runner is running counter-clockwise around the track when viewed from above. Write the velocity vector of the runner in terms of basis (ê1, ê2) as perceived by a crew-mate on the ship. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is…

The equation of a moving object is SEE PHOTO, answers A-D

1 An object of mass 125 kg is released from rest from a boat into the water and allowed to sink. While gravity is pulling the object down, a buoyancy force of times the weight of the object is pushing the object up (weight = mg). If we assume that water 40 resistance exerts a force on the object that is proportional to the velocity of the object, with proportionality constant 10 N-sec/m, find the equation of motion of the object. After how many seconds will the velocity of the object be 90 m/sec? Assume that the acceleration due to gravity is 9.81 m/ sec2. Find the equation of motion of the object. X(t) = %3D

Please draw the vector diagram and explain the process to solving this question (relative velocity)

2.3.16. [Level 21 A Republic laser weapon targets a Trade Federation battleship fleeing to space at a constant velocity of v = 25j m/s. If the length of the laser beam and its orientation with respect to the ground are described by r and 0, respectively, find what r, ř, ï, è, and 0 are when 0 = 50°. The horizontal distance between the laser weapon and battleship is 300 m. 6. 233j L. d --p- E2.3.16

Steam enters an adiabatic turbine steadily at 6 MPa and 450 °C and leaves at 500 kPa and 250 °C. If the power output of the turbine is 3.9 MW determine the isentrFopic efficiency of the turbine and the mass flow rate of the steam flowing through the turbine. TI Pi T2 P2 %23

A 5-kg object is acted upon by a horizontal force P=16t [N], where t is time in seconds. The coefficient of kinetic friction is = 0.18. At t = 2 s, the object's velocity is 5 m/s. Determine the velocity at t = 4 s. Use the Impulse- Momentum method. Provide the free-body diagram and show all work. fk P

3. An athlete pushes against an exercise machine with a force that varies with time according to F(1) = 1200 N (1 – kf), where k = 8 s? Also, the velocity of the athlete's legs acting in the same direction as the force acts according to v(t) = 7 m/s² t a. Create a computer generated plot of the power as a function of time. b. Find the maximum power the athlete generates and the time at which maximum power is generated.