Force, Momentum, Energy Test 2008 Name: For the following questions, assume that the gravitational field strength near the surface of the Earth is 10 N kg-1. Question 1 What is the magnitude of the net force that gives a mass of 3.0 kg an acceleration of 5.0 ms-2? A 0.6 N B 1.7 N C 5N D 15 N Question 2 Calculate the magnitude of the acceleration produced when a net force of 100 N acts on a mass of 5.0 kg. A 100 ms-2 B 20 ms-2 C 5 ms-2 D 0.05 ms-2 Question 3 A single force of 25 N acts on a box and gives it an acceleration of 4.0 m s–2. What is the mass of the box? Ignore the effect of friction. A 100 kg B 25 kg C 6.25 kg D 1.6 kg Question 6 What is the magnitude and direction of the thrust provided by the rocket motor? A 1.2 ×104 N B 2 ×104 N C 2.8 ×104 N D 2 ×105 N Questions 7 and 8 refer to the following information. Ella is pulling a 20 kg wagon along on level ground, as shown in the following diagram. The wagon moves with a constant velocity. The rope makes an angle of 60 with the horizontal. Ella applies a force of 120 N along the rope. Question 7 What is the magnitude of the net force acting on the wagon? A B C D 0N 60 N 104 N 120 N Questions 4 to 6 refer to the following information. A rocket has a mass of 800 kg. It is accelerating upwards at 25 m s 2 near the surface of the Earth. Question 8 Calculate the value of the horizontal resistance forces acting on the wagon. Question 4 What is the weight of the rocket? A 2 ×104 N B 8000 N C 80 N D 2 ×102 N A B C D Question 5 What is the magnitude of the net force acting on the rocket? A 1.2 ×104 N B 2 ×104 N C 2.8 ×104 N D 2 ×105 N 0N 60 N 104 N 120 N Questions 9 to 11 refer to the following information. Evan has to push a van along a level road. The car has a mass of 850 kg. Evan applies a horizontal force of 120 N and resistance forces acting on the car total 70 N. This situation is shown in the diagram below. Question 9 What is the magnitude of the net horizontal force acting on the car? A 50 N B 70 N C 120 N D 190 N Question 12 Determine the acceleration of the ship and the boat. A 2.0 ms-2 B 1.6 ms-2 C 1.5 ms-2 D 1.1 ms-2 Question 13 Calculate the force that the ship applies to the boat. A 300 N B 550 N C 800 N D 1000 N Questions 14 to 16 refer to the following information. The following graph shows how the magnitude of the force of air resistance acting on an object as it falls vertically through air varies with the distance that it has fallen. Question 10 Calculate the magnitude of the car’s acceleration. A 0.06 ms-2 B 0.08 ms-2 C 0.14 ms-2 D 0.22 ms-2 Question 11 If the car starts from rest, calculate the speed of the car if Evan pushes it with a constant force for a distance of 20 m. A 1.5 ms-1 B 1.8 ms-1 C 2.4 ms-1 D 3.0 ms-1 Questions 12 and 13 refer to the following information. A ship is towing a boat as shown in the following diagram. The ship has a mass of 2.0 103kg and the boat has a mass of 500 kg. The thrust of 4.0 103 N is applied on the ship by the water. Resistance forces of 1000 N act on the ship and 250 N act on the boat. The object travels with a constant speed after falling a distance of 80 m. Question 14 What is the net force acting on the object after falling a distance of 80 m? A 0N B 10 N C mg N D 160 N Question 15 What is the mass of the object? A 0 kg B 1kg C m kg D 16kg Question 16 What is the acceleration of the object after it has fallen a distance of 30 m? A 0 ms-2 B 5 ms-2 C 7.5 ms-2 D 10 ms-2 Questions 21 to 22 refer to the following information. A model car of mass 1.2 kg is initially at rest. It is acted upon by a force that varies with time as shown in this graph. Questions 17 to 20 refer to the following information. A 0.50 kg ball travelling at 20 ms-1 east hits a wall and bounces back at a velocity of 16 ms-1 west. The ball is in contact with the wall for 2.5 10-2 s. Question 17 What is the initial momentum of the ball? A 2 Ns B 8 Ns C 10 Ns D 18 Ns Question 18 What is the change in momentum of the ball? A 0 Ns B 2 Ns C 18 Ns D 720 Ns Question 19 What is the impulse on the ball? A 0 Ns B 2 Ns C 18 Ns D 720 Ns Question 20 What is the magnitude of the force exerted on the ball by the wall? A 0N B 18 N C 80 N D 720 N Ignore resistance forces. Question 21 What is the magnitude of the impulse acting on the model car? A 5.6 Ns B 7.2 Ns C 8 Ns D 11.2 Ns Question 22 What is the final speed of the model car? A 6 ms-1 B 7.2 ms-1 C 8.24 ms-1 D 9.3 ms-1 Question 23 Calculate the kinetic energy of a car of mass 800 kg travelling at 20 m s–1. A 800 J B 8000 J C 16000 J D 160000 J Question 24 Calculate the gravitational potential energy of a 60 kg diver relative to the water at a height of 3.0 m above the water. A 20 J B 60 J C 600 J D 2700 J Questions 25 to 29 refer to the following information. A box of mass 2.0 kg is at rest on a horizontal frictionless floor. A force of 10 N acts on the box for a period of 2.0 s. Question 25 Calculate the acceleration of the box. A 1 ms-2 B 2 ms-2 C 2.5 ms-2 D 5 ms-2 Questions 30 to 32 refer to the following information. A roller coaster trolley of mass 200 kg rolls from rest at the top of a section of track. This is shown in the figure below. The horizontal section of the track is 5.0 m below the top of the track. The speed of the trolley on the horizontal section was measured to be 8.0 m s–1. Question 26 How far did the box travel while the force was being applied? A 2m B 4m C 10 m D 20 m Question 27 How much work was done on the box by the force? A 2J B 20 J C 40 J D 100 J Question 28 What is the final kinetic energy of the box? A 2J B 20 J C 40 J D 100 J Question 29 Calculate the final speed of the box. A 1 ms-1 B 5 ms-1 C 10 ms-1 D 20 ms-1 Question 30 What is the gravitational potential energy of the trolley at the top of the track relative to the horizontal section? A 1 × 103 J B 2 × 103 J C 1 × 104 J D 2 × 104 J Question 31 Calculate the kinetic energy of the trolley on the horizontal section of the track. A 2.5 × 103 J B 6.4 × 103 J C 2.5 × 104 J D 6.4 × 104 J Question 32 How much energy was lost to the environment as the trolley moved down the track? A 3.6 × 103 J B 6.4 × 103 J C 3.6 × 104 J D 1.64 × 104 J