A 630 kg car pulling a 530 kg trailer accelerates forward at a rate Of 2.13 m/52_ Assume frictional forces on the trailer are negligible. Ignore air drag. (a) Calculate the net force (in N) on the car. magnitude N direction ---Select_. v (b) Calculate the net force (in N) on the trailer. magnitude N direction mSelect v (C) What is the force (in N) exerted by the trailer on the car? mag n itu de N direction WSelect V (d) What is the resultant force exerted by the car on the road? (Assume that the forward direction is along the +x-direction to the right and that the +y-direction points upward. Enter the magnitude in N and the direction in degrees measured from the left of the iyidirection.) magnitude N direction \" (measured from the left of the iyidirection) _. A force F applied to an object of mass nn1 produces an acceleration of 4.00 \"1/52. The same force applied to a second object of mass rn2 produces an acceleration of 1.10 mls2. (a) What is the value of the ratio nil/m2? E _, (b) If m1 and m2 are combined into one object, find its acceleration under the action of the force F. :m/sl The gravitational force exerted on a baseball is 2.25 N down. A pitcher throws the ball horizontally with velocity 16.5 mls by uniformly accelerating it along a straight horizontal line for a time interval of 166 ms. The ball starts from rest. (a) Through what distance does it move before its release? :m (b) What are the magnitude and direction of the force the pitcher exelts on the ball? (Enter your magnitude to at least one decimal place.) direction E a above the horizontal S, A sailboat is moving at a constant velocity due north, as depicted in the gure. The water exerts a drag force on the boat, where the magnitude of F is 355 N and I9 : 37.0\". a a (a) If +x is east and +y is north, find the magnitudes of n and I). (Give your answers in N.) a 4 (b) If +X is H = 37.0\" north of east and +y is 9 = 37.0" west of north, find the magnitudes of n and p. (Give your answers in N.) (c) Do your answers to parts (a) and (b) agree? 0 Yes 0 No A bag of cement weighing 500 N hangs in equilibrium from three wires as suggested in the figure below. Two of the wires make angles 61 : 64.0\" and 92 : 41.0\" with the horizontal. Assuming the system is in equilibrium, find the tensions T1, T2, and T3 in the wires. T1: T2: T3: \fA worker kicks .3 at object lying on a roof. The object slides up the incline 10.0 m to the apex of the roof, and flies off the roof as a projectile. What maximum height (in m) does the object attain? Assume air resistance is negligible, Vi : 15.0 m/s, \"k : 0.450, and that the roof makes an angle of 9 : 39.0\" with the horizontal. (Assume the worker is standing at y : 0 when the object is kicked.) :lm The systems shown below are in equilibrium with m = 2.30 kg and H = 31.0\". If the spring scales are calibrated in newtons, what do they read? Ignore the masses of the pulleys and strings and assume the pulleys and the incline are frictionless. A woman at an airport is towing her 12.0 kg suitcase at constant speed by pulling on a strap at an angle 9 above the horizontal (see gure). She pulls on the strap with a 32.5 N force, and the friction force on the suitcase is 20.0 N. (D (a) Draw a free-body diagram of the suitcase. Glut9" lil-QUeNEM! (b) What angle does the strap make with the horizontal (in degrees)? : (c) What is the magnitude of the normal force that the ground exerts on the suitcase (in N)? :N (d) What If? If the woman still pulls on the strap with a 32.5 N force but wishes to accelerate the suitcase at a rate of 0.500 m/sz, at what angle (in degrees) must she pull on the strap? Assume that the rolling friction is independent of the angle of the strap. : (e) What is the maximum acceleration of the suitcase if the woman can exert a maximum force of 32.5 N? (Enter the magnitude in m/sl.) mls2