Work done by a constant force Transitional Reasoning Practice

Questions

1. 1.

   An automated transport unit moves across a flat warehouse floor from an initial position of (0 m, 0 m) to a final position of (6.0 m, 8.0 m) along a straight path. Throughout this motion, an external magnetic guide mechanism exerts a constant force of 50 N directed purely along the positive x-axis. What is the work done on the transport unit by this magnetic guide force during the displacement?

   • A) 500 J
   • B) 400 J
   • C) 700 J
   • D) 300 J
2. 2.

   In a testing facility, a diagnostic cart moves along a straight horizontal track over a displacement of 10 m. Two cables simultaneously pull the cart forward: Cable 1 exerts a constant force of 80 N at an angle of 60° above the horizontal track, while Cable 2 pulls horizontally parallel to the track with a constant force. If the combined work performed on the cart by both cables during this displacement is 650 J, what is the magnitude of the force exerted by Cable 2? ($\cos 60^\circ = 0.50$)

   • A) 25 N
   • B) 40 N
   • C) 65 N
   • D) 15 N
3. 3.

   During an orbital rendezvous maneuver, an automated supply module coasts along a straight approach line. To moderate its speed, an auxiliary thruster fires continuously, exerting a constant force of 450 N directed at an angle of 120° relative to the direction of motion. Over a straight displacement of 80 m during this thruster burn, what is the work done on the module by the thruster force? ($\cos 120^\circ = -0.50$, $\sin 120^\circ = 0.87$)

   • A) $-18\text{ kJ}$
   • B) $+18\text{ kJ}$
   • C) $-31.2\text{ kJ}$
   • D) $-36\text{ kJ}$
4. 4.

   An oceanographic research probe with a mass of 150 kg is lowered vertically into the sea at a constant speed of 0.50 m/s by a support cable from a survey ship. Throughout a vertical descent of 25 m, seawater exerts a constant upward buoyant force of 270 N on the probe. Taking the acceleration due to gravity as $g = 9.8\text{ m/s}^2$, what is the work done on the probe by the cable's tension force during this displacement?

   • A) +30 kJ
   • B) -36.75 kJ
   • C) -30 kJ
   • D) -6.75 kJ
5. 5.

   A motorized winch pulls a 250 kg container up a straight loading ramp inclined at 30° to the horizontal. The cable exerts a constant tension of 1800 N parallel to the ramp, moving the container a distance of 8.0 m along the ramp. Taking the acceleration due to gravity as $g = 9.8\text{ m/s}^2$, what is the work done on the container by the gravitational force during this displacement?

   • A) +9.8 kJ
   • B) -14.4 kJ
   • C) -9.8 kJ
   • D) -17.0 kJ
6. 6.

   An automated transport cart in a production facility moves along a straight horizontal track. To decelerate the cart, an electromagnetic braking mechanism applies a constant horizontal retarding force of 350 N against the direction of motion over a displacement of 4.0 m. During this same displacement, the drive system maintains a constant forward propulsion force of 50 N. What is the net work done on the cart by these two forces over the 4.0 m displacement?

   • A) +1600 J
   • B) -1400 J
   • C) -1200 J
   • D) +1200 J
7. 7.

   During a physics investigation, a sensor-equipped cart moves along a straight horizontal track over a displacement of 8.0 m. In the first trial, a constant pulling force is applied at an angle of 60° above the horizontal track, performing 160 J of work on the cart. In the second trial, the exact same magnitude of force is applied parallel to the track over the same displacement. What is the magnitude of the applied force, and how much work is done on the cart in the second trial?

   • A) Force = 20 N; Work = 160 J
   • B) Force = 80 N; Work = 640 J
   • C) Force = 40 N; Work = 160 J
   • D) Force = 40 N; Work = 320 J
8. 8.

   A logistics worker moves a shipping crate across a level concrete floor by pulling a strap with a constant force of 60 N inclined at an angle of 60° above the horizontal. The crate moves a horizontal distance of 12 m in a straight line while a constant friction force of 10 N opposes the motion. What are the work done on the crate specifically by the worker's pulling force and the work done by the upward normal force from the floor during this displacement?

   • A) 720 J by the pulling force and 0 J by the normal force
   • B) 360 J by the pulling force and 0 J by the normal force
   • C) 360 J by the pulling force and −120 J by the normal force
   • D) 240 J by the pulling force and 0 J by the normal force

Answers and step-by-step solutions appear after you finish the test.