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[-/2 Points] Vector A has magnitude of 8.00 units and makes an angle of 45.0° with the positive x-axis. Vector B also has magnitude of 8.00 units and is directed along the negative x-axis. (a) Using graphical methods, find the vector sum A + B (Submit file with maximum Size of MB.) Choose File No file chosen This answer has not been graded yet. (b) Using graphical methods, find the vector difference A B. (Submit file with maximum Size MB.) Choose File No file chosen This answer has not been graded yet. 2. [-/4 Points] The helicopter view in the figure below shows two people pulling on a stubborn mule. (Take F, 129 75.0% 160.0 (a) Find the single force that is equivalent to the two forces shown. magnitude N direction o counterdockwise from the +x-axis (b) Find the force a third person would have to exert on the mule to make the net force equal to zero. magnitude N direction o counterdockwise from the +x-axis 3. [-/1 Points] A brick is thrown upward from the top of building at an angle of 10° to the horizontal and with an initial speed of 17 m/s If the brick is in flight for 2.8 s, how tall is the building? m 4. [-/2 Points] An artillery shell is fired with an initial velocity of 300 m/s at 61.0° above the horizontal. To clear an avalanche, it explodes on mountainside 43.5 s after firing. What are the x- and y-coordinates of the shell where it explodes, relative toits firing point? x m m 1. [-/3 Points] Two forces are applied to carin an effort to movei as shownin the figure below. (Let 430N and F2 369N. Assume up and the right areinthe positive directions.) 1 (a) What the resultant vector of these two forces? magnitude N direction to theright of the forward direction (b) Fthe car has a mass of 3,000 kg, what acceleration does it have? Ignore friction m/s² 2. [-/2 Points] Two packing crates of masses m, 10.0 kg and m, =4 1.70kg are connected by light String that passes over af frictionless pulley asi the figure below. The 4.70-kg crate lies ona smooth indine of angle 41.0°. Find the following. o (a) the acceleration of the 1.70-kg crate m/s² (up the indine) (b) the tension in the string [-/3 Points] An object with mass m, 5.40kg, rests on frictionless horizontal table and s connected to cable that passes over a pulley and then fastened to hanging object with mass m2 10.9kg as shown in the figure. my (a) Find the magnitude of the acceleration of each object. a, m/s² 32= m/s² (b) Find the tensioni the cable. N [-/3 Points] Objects of masses m,= 4.00kg and m, 9.00 kg are connected by light string that passes ove a frictionless pullev the figure below. The object m, held at rest on the floor. and m- rests on. fixed indine of 0 = 36.0°. The objects are released from rest. and m2 siides 1.15m down the slope of the indine in 4.35 s. =2 (a) Determine the acceleration of each object. (Enter the magnitude only.) 1m/s² (b) Determine the tension in the string (Enter the magnitude only.) (c) Determine the coefficient of between m2 and the incline. [-/4 Points] A block of mass m 2.50 kg is pushed d 2.80 m along a frictionless horizonta table by a constant applied force of magnitude = 15.0 N directed at an angle 0 25.0° below the horizontal as shown in the figure below. - (a) Determine the work done by the applied force. J (b) Determine the work done by the normal force exerted by the table. J (c) Determine the work done by the force of gravity. J (d) Determine the work done by the net force on the block. J 2. [-/1 Points] A daredevil on motorcycle leaves the end of a ramp with speed of 35.6m/s as in the figure below. If his speed is 33.2 m/s when he reaches the peak of the path, what is the maximum height that he reaches? Ignore friction and air resistance. m 1 3. [-/1 Points] A child and sled with a combined mass of 52.0kg slide down frictionless slope. If the sled starts from rest and has speed of 3.40 m/s at the bottom, what is the height of the hill? m [-/3 Points] A block of mass m 4.30 kg is released from rest from point and slides on the frictionless track shown in the figure below. (Assume b, 6.00 m.) 5 " C h 5.20m 2.00 m C (a) Determine the block's speed at points and point m/s point c m/s (b) Determine the net work done by the gravitational force on the block as it moves from point A to point C J [-/3 Points] A tennis player receives shot with the ball (0.0600 kg) traveling horizontally at 56.4m/s and returns the shot with the ball traveling horizontally at 31.8 m/s in the opposite direction. (Take the direction of the ball's final velocity (toward the net) to be the +x-direction.) (a) What is the impulse delivered to the ball by the racket? magnitude N s direction -Select- (b) What work does the racket do on the ball? (Indicate the direction with the sign of your answer.) J 2. [-/3 Points] A force of magnitude F, acting in the x-direction on a 1.90-kg particle varies in time as shown in the figure below. (Indicate the direction with the sign of your answer.) F,(N) 1 3 2 1 (s) 01 1 2 3 4 5 (a) Find the impulse of the force. (Give your answer to one decimal place.) kg m/s (b) Find the final velocity of the particle if it is initially at rest. m/s (c) Find the final velocity of the particle if il is initially moving along the x-axis with velocity of -2.20 m/s. m/s 3. [-/2 Points] A 2.64- kg steel ball strikes a massive wall at 10.0m/sat an angle of 0 = 60.0° with the plane of the wall It bounces off the wall with the same speed and angle (see the figure below). Iftheball is in contact with the wall for 0.230 s, what is the average force exerted by the wall on the ball? magnitude N direction --Select--- v A 6 4. [-/2 Points] A rifle with weight of 35 N fires 4.5-g bullet with a speed of 290m/s. (a) Find the recoil speed of the rifle. m/s (b) If a 600-N man holds the rifle firmly against his shoulder, find the recoil speed of the man and rifle. m/s

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