An object of mass “m” slides down an inclined ramp of angle “0” on a thin film of oil. The contact area between the object and the film is "A" and the thickness of the film is "h". Find an analytical expression for the terminal velocity of the object by assuming a linear velocity distribution. Hint1: Start by showing all the forces acting on the object as it slides down the ramp and do a balance of forces over the x axis. Hint2: terminal velocity means: a=0 (no acceleration). h m Ꮎ
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- A micro-transporter moves from one side of an evacuated chamber to another. It is powered by equal-magnitude, opposite-sign charges Q and -Q on top of two station points, as shown in (Figure 1). The transporter's mass is 1.0 g and it is carrying a positive charge of 9.0 x 10-10 C. The figure shows a micro-transporter located between two stations on a horizontal surface. Figure The left station has charge plus upper Q. The right station has charge minus upper Q. The transporter carries positive charge q. The transporter is 6.0 millimeters from the left station and 36.0 millimeters from the right station. +Q Station ( + Station 6.0 mm 36.0 mmA block is pulled along a rough level surface at constant speed by the force P. The figure shows the free-body diagram for the block. FN represents the normal force on the block; and f represents the force of kinetic friction. What is the magnitude of FN ? 2mg P f mgA stockroom worker pushes a box with mass 12.9 kg on a horizontal surface with a constant speed of 2.50 m/s. The coefficients of kinetic and static friction between the box and the surface are 0.340 and 0.470, respectively. For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Delivering the goods. F₂ = 43.0 N Submit ✓ Correct Part B Previous Answers a = If the worker stops pushing, what will be the acceleration of the box? Express your answer in meters per second squared. Assume that + direction coincides with the direction of velocity. ► View Available Hint(s) Submit VI ΑΣΦ Previous Answers wwww ? X Incorrect; Try Again; 3 attempts remaining Review | Constants m/s²
- Martha is pushing a 35 kg chair across the floor. The coefficients of friction between the chair and floor are ? s = 0.70 and ? k = 0.40. a. How hard does she need to push horizontally to just start the chair moving? b. If she applies this same force once it is moving, then what is the resulting acceleration? Draw the free-body diagram for this situation.A cardboard box rests on the floor of an elevator. The box has a mass m = 2.75 kg and the elevator has an upward acceleration of a. a. Write an expression for the sum of the forces acting on the box in the y-direction, ΣFy, given that up is the positive y-direction. Your answer should be in terms of FN, m, and g. b. Write an expression for the normal force, FN, that the block experiences in terms of the elevator's acceleration, the block's mass, and the acceleration of gravity. c. If the elevator's acceleration has a magnitude of g in the downward direction, what would the normal force, FN1 be in Newtons? d.If the elevator's acceleration had a magnitude of g in the upward direction, what would the normal force FN2 be in Newtons?A teenager of mass m1 = 56 kg pushes backwards against the ground with his foot as he rides his skateboard. This exerts a horizontal force of magnitude F foot = = 18.5 N. The skateboard has m2 = 2.6 kg. a. Write an expression for the magnitude of the horizontal component of force that the ground exerts on the teenagers foot, F ground. b. Write an expression in terms to given quantities for the magnitude of the skateboard acceleration, a , while the teenager is pushing backwards on the ground? c. What is the numerical value of the magnitude of the acceleration, a, in m/s square?
- A 15.0 kg load of bricks hangs from one end of a rope that passes over a small, frictionless pulley. A 28.0 kg counter weight is attached to the other end of the rope, as shown in the figure. You may model the rope as a massless string. The system is released from rest. A. Draw two freebody diagrams, one for the load of bricks and one for the counter weight. B. Find the magnitude of the upward acceleration of the load of bricks. 28.0 kg C. What is the tension in the rope? D. How does the tension compare to the weight of the bricks and the weight of the counter weight? 15.0 kgAn object of mass m is at rest on a smooth horizontal surface. It is pulled by a variable force F = kt, where t is the time. The force makes and angle a with the horizontal. a) find an expression for the speed of the object when it starts to lift-off the surface. b) find an expression for the distance travelled until it starts to lift-off the surface.A steel cable lying flat on the floor drags a 20 kg block across a horizontal, frictionless floor. A 110 N force applied to the cable causes the block to reach a speed of 3.9 m/s in a distance of 2.0 m. What is the mass of the cable? Express your answer with the appropriate units. m= Submit μA Value Units ? Units input for part A Previous Answers Request Answer