Work done by a constant force Transitional Reasoning Download PDF

Questions

1. 1.

   During a performance trial on a linear test track, a control tether exerts a constant force of 80 N on an automated transport cart as the cart travels a straight displacement of 5.0 m. Sensors record that this tether force performs -200 J of work on the cart throughout this displacement. What is the angle between the tether force vector and the direction of the cart's displacement?

   • A) $30^\circ$
   • B) $60^\circ$
   • C) $150^\circ$
   • D) $120^\circ$
2. 2.

   In an automated manufacturing facility, a robotic carriage carries a component along a curved guide track measuring 15 m in total length. Throughout the transit, a magnetic actuator exerts a constant horizontal force of 40 N directed strictly toward the east on the carriage. The carriage begins at a pickup station and reaches a drop-off station located 6.0 m east and 8.0 m north of the starting position. What is the total work done on the carriage by this constant magnetic force during the transfer?

   • A) 600 J
   • B) 400 J
   • C) 240 J
   • D) 320 J
3. 3.

   During a safety evaluation on a straight horizontal test track, an experimental rail cart travels a distance of 16 m under the action of two constant horizontal forces. A forward pneumatic booster applies a constant driving force of 75 N in the direction of motion, while an opposing eddy-current brake continuously exerts a retarding force of 25 N. What is the net work done on the cart by these two forces over the 16 m displacement?

   • A) 1600 J
   • B) 1200 J
   • C) 800 J
   • D) 400 J
4. 4.

   A logistics technician pushes a container up a straight access ramp inclined at an angle of $37^\circ$ above the horizontal by exerting a constant horizontal force of 250 N. The horizontal distance from the base of the ramp to the top platform is 8.0 m. Given that $\sin(37^\circ) = 0.60$ and $\cos(37^\circ) = 0.80$, what is the work done on the container by the technician's applied force over the entire length of the ramp?

   • A) 1500 J
   • B) 1600 J
   • C) 2500 J
   • D) 2000 J
5. 5.

   To safely unload fragile laboratory equipment from an elevated loading platform, a technician uses an overhead hoist to lower a 40 kg crate vertically downward through a distance of 5.0 m at a constant velocity. During this controlled descent, the cable exerts a constant upward vertical force on the crate. Taking the acceleration due to gravity as $g = 9.8\text{ m/s}^2$, what is the work done on the crate by the cable tension during this displacement?

   • A) +1960 J
   • B) 0 J
   • C) -1960 J
   • D) -392 J
6. 6.

   A warehouse worker pulls a 20 kg crate across a horizontal floor through a displacement of 8.0 m by exerting a constant tension force of 50 N at an angle of 60° above the horizontal. Throughout the motion, a constant horizontal kinetic friction force of 10 N opposes the crate. What is the work done on the crate specifically by the worker's applied pulling force?

   • A) 120 J
   • B) 200 J
   • C) 320 J
   • D) 400 J