Tension Knowledge-Based Download PDF

Questions

1. 1.

   A 10 kg box rests on a frictionless horizontal floor and is pulled by a light rope directed at an angle of $60^\circ$ above the horizontal. If the box accelerates along the floor at $2.0\text{ m/s}^2$, what is the tension in the rope?

   • A) 40 N
   • B) 20 N
   • C) 10 N
   • D) 80 N
2. 2.

   A 2.0 kg pendulum bob hangs from a light string attached to the ceiling of a train carriage. When the train accelerates horizontally at $7.5\text{ m/s}^2$ along a straight track, what is the tension in the string? (Assume $g = 10\text{ m/s}^2$.)

   • A) 20 N
   • B) 25 N
   • C) 35 N
   • D) 15 N
3. 3.

   A 2.0 kg block is suspended beneath a 3.0 kg block by a light vertical cord. If an upward vertical force of 65 N is applied to the 3.0 kg block, accelerating both blocks upward, what is the tension in the connecting cord? (Assume $g = 10\text{ m/s}^2$.)

   • A) 20 N
   • B) 26 N
   • C) 39 N
   • D) 45 N
4. 4.

   A 4.0 kg ball is suspended from the ceiling by a light cord. If a horizontal force of 30 N holds the ball in static equilibrium, what is the tension in the cord? (Assume $g = 10\text{ m/s}^2$.)

   • A) 10 N
   • B) 30 N
   • C) 40 N
   • D) 50 N
5. 5.

   A 4.0 kg block is pulled up a frictionless ramp inclined at $30^\circ$ above the horizontal by a light rope parallel to the ramp. If the block accelerates up the ramp at $2.0\text{ m/s}^2$, what is the tension in the rope? (Assume $g = 9.8\text{ m/s}^2$.)

   • A) 27.6 N
   • B) 19.6 N
   • C) 11.6 N
   • D) 47.2 N
6. 6.

   Two masses of 2.0 kg and 3.0 kg are connected by a light, inextensible string passing over a frictionless, massless pulley. When the system is released from rest, what is the tension in the string? (Assume $g = 10\text{ m/s}^2$.)

   • A) 10 N
   • B) 30 N
   • C) 25 N
   • D) 24 N
7. 7.

   A 4.0 kg block on a frictionless horizontal tabletop is connected by a light string passing over an ideal pulley to a hanging 1.0 kg mass. If the system is released from rest, what is the tension in the string? (Assume $g = 10\text{ m/s}^2$.)

   • A) 8.0 N
   • B) 10 N
   • C) 2.0 N
   • D) 40 N
8. 8.

   A 10 kg uniform sign hangs in static equilibrium, supported symmetrically by two identical light ropes that each make an angle of $30^\circ$ with the horizontal ceiling. What is the tension in each rope? (Assume $g = 9.8\text{ m/s}^2$.)

   • A) 98 N
   • B) 49 N
   • C) 113 N
   • D) 196 N
9. 9.

   A 15 kg crate is suspended by a light vertical cable. If the cable pulls the crate upward with a constant acceleration of $2.0\text{ m/s}^2$, what is the tension in the cable? (Assume $g = 9.8\text{ m/s}^2$.)

   • A) 30 N
   • B) 117 N
   • C) 147 N
   • D) 177 N
10. 10.

    Two blocks with masses of 3 kg and 5 kg rest on a frictionless horizontal surface and are connected by a light, inextensible string. If a horizontal force of 24 N pulls the 5 kg block directly away from the 3 kg block, what is the tension in the connecting string?

    • A) 15 N
    • B) 9 N
    • C) 12 N
    • D) 24 N