Physics 11 TestForces and VectorsName: ______
Show all work including formulae and units for full value. The point value of each question is indicated following the question
(1) Two forces act on an object causing the object to have a net force of 1150 N 20.0° South of East. One of the two forces acting on the object is 2210 N 35.0° South of East. Find the magnitude and direction of the second force acting on the object. (10 points)
(2)A pilot flies her plane with a velocity of 425 km/hr 30.0° South of West. A wind is blowing at 80.0 km/hr 12.5° North of East. Calculate the resultant velocity (magnitude and direction) of the plane? (10 points)
(3)What mass can acquire an acceleration of 1.25 m/s2 due to a net force of 5.75 N? (2 points)
(4)What is the weight of a 322 kg object? (2 points)
(5)A 5.00 kg block accelerates from 2.00 m/s to 8.00 m/s as it travels a distance of 30.0 m. What net force was acting on the block? (4 points)
(6)An elevator with a mass of 855 kg has a tension force of 9530 N acting on it. What is the net force acting on the elevator and what is the elevator’s acceleration? (7 points)
(7) A 1510 kg truck is sitting on a hill that is inclined at 12.5 degrees. Draw a diagram showing the forces acting on the truck then find the value of the force of gravity, the parallel component of the force of gravity and the perpendicular component of gravity. (5 points)
(8)A 10.0 kg wagon is being pulledto the right by an applied force of 60.0 N along a handle that makes an angle of 35.0° with the ground. The coefficient of friction equals 0.300.
(a) Draw a diagram showing the wagon and all the forces acting on it. (3 points)
(b)Calculate the normal force acting on the object. (4 points)
(c)Calculate the force of friction acting on the object. (3 points)
(d)Calculate the net force and acceleration of the object. (2 points)
(e)How far does the wagon move in 4.00 seconds if it started from rest? (2 pts)
(9) A 6.00 kg object is pulled up a 4.00 m long plane inclined at 25.0° by an applied force. The coefficient of friction between the object and the inclined plane is 0.250
(a)Draw a diagram showing all forces acting on the object. (3 points)
(b)What are the values of the force of gravity and its two components? (3 points)
(c)What is the value of the normal force and the force of friction? (4 points)
(d)The object begins at rest at the bottom of the incline and has a speed of 5.00 m/s when it reaches the top of the 4.00 m long inclined plane. Calculate the acceleration and the net force acting on the object. (4 points)
(e)Calculate the size of the applied force acting on the object. (2 points)