S Two masses 8 kg and 12 kg are connected at the two ends of a light inextensible string that goes over a frictionless pulley. Find the acceleration of the masses, and the tension in the string when the masses are released.
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- Find the acceleration of the body of mass 10.0 kgshown below:An elevator weighing 5.8 kN in ascending with an acceleration of 3 m/s2. Theoperator is standing on the scale inside the elevator and during the ascesion thescale registers 910N. What is the tension (N) in the supporting cables?Consider Figure 5.28. The driver attempts to get the car out of the mud by exerting a perpendicular force of 610.0 N, and the distance she pushes in the middle of the rope is 1.00 m while she stands 6.00 m away from the car on the left and 6.00 m away from the tree on the right. What is the tension Tin the rope, and how do you find the answer?
- If the rocket sled starts with onlyone rocket burning, what is the magnitude of its acceleration?Assume that the mass of the system is 2100 kg, the thrust Tis 2.4×104 N, and the force of friction opposing the motionis known to be 650 N. (b) Why is the acceleration not onefourth of what it is with all rockets burning?What force, in N, does a trampoline have to apply to a 45.0-kg gymnast to accelerate her straight up at 7.5 m/s^2 in opposition to gravity?During the initial upward thrust of a ride at the P.N.E, a 62.0-kg rider experiences an acceleration of 5.75m/s^2 [up]. What is the magnitude of her apparent weight ?
- the net external force on the 24-kg mower isstated to be 51 N. If the force of friction opposing the motionis 24 N, what force F (in newtons) is the person exerting onthe mower? Suppose the mower is moving at 1.5 m/s whenthe force F is removed. How far will the mower go beforestopping?What horizontal forcemust be applied to a largeblock of mass M shown inFigure P4.85 so that theblocks remain stationaryrelative to M? Assume allsurfaces and the pulley arefrictionless. Notice that theforce exerted by the string accelerates m2.Find the position of the mass at t=1.00s;
- An inclined plane makes an angle of 30o with the horizontal. Neglecting friction forces, find the constant force, applied parallel to the plane, required to cause a 15-kg box to speed up, moving up the plane with acceleration 1.2 m/s2 and down the incline with acceleration 1.2 m /s2?A massive missile has a mass of 1.95 × 106 kg at takeoff, and its engines produce a thrust of 3.9 × 107 N . (a) Find its initial acceleration, in meters per second squared, if it takes off vertically. Take up to be positive. (b) How long, in seconds, does it take to reach a velocity of 120 km/h straight up, assuming constant mass and thrust?Compute the weight of a 75 kg space ranger (a) on Earth, (b) on Mars, where g = 3.7 m/s2, and (c) in interplanetary space, where g = 0. (d) What is the ranger’s mass at each location?