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- The kinetic energy and potential energy are the forms of energy microscopic mscroscopic variable staticOne mole of a gas obeys the Ideal Gas Law PV = 20T, where P is pressure, V is volume, and T is temperature. If the temperature T of the gas is increasing at the rate of 5 °C/s and if, when the temperature is 80 °C, the pressure P is 10N/m? and is decreasing at the rate of 2- find the m2 . s rate of change of the volume V with respect to time.Problem Solving: )An object falls from rest in a medium offering a resistonce. The velocity of the object hefore the ohject reaches the ground is given by the differential egua- tion dv/t + V% = 32, t/sec. uhat is the veloaty of the okject one second after it falls ?
- A mass of 1.25 kg stretches a spring 0.06 m. The mass is in a medium that exerts a viscous resistance of 66 N when the mass m has a velocity of 6 . The viscous resistance is proportional to the - S speed of the object. Suppose the object is displaced an additional 0.03 m and released. Find an function to express the object's displacement from the spring's natural position, in m after t seconds. Let positive m as the s2 displacements indicate a stretched spring, and use 9.8 acceleration due to gravity. u(t) = %3D4:30 O M docs.google.com/forms/d/e 1.25 rad/s 5 rad/s 2.5 rad/s 20 rad/s 10 rad/s A traveling wave on a taut string with a tension force T is given by the wave function: y(x,t) = 0.1sin(4x+100t), where x and y are in meters and t is in seconds. The linear mass density of the string is u = 0.1 Kg/m. If the tension is multiplied by a factor of four, while keeping the same amplitude, same wavelength, and same linear mass density, then the new power of the wave, is 500 W 125 W 1000 W 2000 W 250 W Page 2 of 2 IIA cart weighing 0.5 kg is drawn up a smooth 45° incline by a motor, M, winding up a cable. The force in the cable can be expressed as 5t² N, where t is in seconds. When t = 0, the displacement s = 0 and the initial velocity is 3 m/s. Find the cart's velocity when t = 2 seconds. > Draw a very clear FBD of the cart that you can use to write the equations of motion > Write the equations governing the cart's motion along the incline. Use axes parallel and perpendicular to the incline. Find the velocity requested
- A net force F = 6t? along the x-direction acts on an object of mass m = seconds and F is in Newtons). The object is initially at rest and the force acts on the object during the 3kg (t is time in %3| time interval 0Find : The acceleration (in m/s^2) of cylinder C.67. An airplane (v = 710 m-s", T = - 54 C°) when the time between seeing above observer and hearing is 9.7 sec, find the altitude.A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the mass is released from rest from a point 2 inches above the equilibrium position. Give the initial conditions. (Use g 32 ft/s? for the acceleration due to gravity.) x(0) X ft %3D x'(0) ft/s Find the equation of motion. x(t) X ft Need Help? Read It Watch ItTp = 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…2- find the center of mass, the velocity of the center of mass, the momentum, and the kinetic energy of the following system: do f(xd) xaf] m₁ = 1 kg T₁=1+2j+3 k v₁ = 2î+3ĵ m₂ = 1 kg T₂ = 1-j+ k v₂ = 2) + 3kSEE MORE QUESTIONS