Tension Knowledge-Based Practice

Questions

1. 1.

   A 2.5 kg ball is suspended from a ceiling by a light cord. A horizontal force pulls the ball sideways so that the cord remains in static equilibrium at an angle of 60° with the vertical. Taking the acceleration due to gravity as 9.8 m/s², what is the tension in the cord?

   • A) 24.5 N
   • B) 49.0 N
   • C) 12.3 N
   • D) 28.3 N
2. 2.

   A light, inextensible rope is pulled horizontally in opposite directions at its ends by two forces, each having a magnitude of 160 N. If the rope remains at rest, what is the tension in the rope?

   • A) 0 N
   • B) 80 N
   • C) 160 N
   • D) 320 N
3. 3.

   A 4.0 kg crate is pulled across a rough horizontal floor by a light, horizontal rope. If the coefficient of kinetic friction between the crate and the floor is 0.25 and the crate accelerates at $1.5\text{ m/s}^2$, what is the tension in the rope? (Take the acceleration due to gravity as $9.8\text{ m/s}^2$.)

   • A) 15.8 N
   • B) 9.8 N
   • C) 6.0 N
   • D) 3.8 N
4. 4.

   A 6.0 kg crate is pulled across a frictionless horizontal floor by a light rope directed at an angle of 60° above the horizontal. If the crate accelerates across the floor at 3.0 m/s², what is the tension in the rope?

   • A) 9.0 N
   • B) 18 N
   • C) 21 N
   • D) 36 N
5. 5.

   A 3.0 kg block resting on a frictionless horizontal table is connected by a light string over a frictionless, massless pulley to a 2.0 kg block hanging vertically. Taking the acceleration due to gravity as $9.8\text{ m/s}^2$, what is the tension in the string after the system is released from rest?

   • A) 19.6 N
   • B) 15.7 N
   • C) 7.8 N
   • D) 11.8 N
6. 6.

   Two masses of 1.0 kg and 3.0 kg are connected by a light, inextensible string that passes over a frictionless, massless pulley in an Atwood machine. Taking the acceleration due to gravity as 9.8 m/s², what is the tension in the string once the system is released from rest?

   • A) 14.7 N
   • B) 19.6 N
   • C) 9.8 N
   • D) 29.4 N
7. 7.

   A 10 kg light fixture is suspended in static equilibrium from a ceiling by two identical cords, each making an angle of $30^\circ$ with the horizontal. Taking the acceleration due to gravity as $9.8\text{ m/s}^2$, what is the tension in each cord?

   • A) 49 N
   • B) 98 N
   • C) 113 N
   • D) 196 N
8. 8.

   A 6.0 kg block is held stationary on a frictionless ramp inclined at 30° to the horizontal by a light string aligned parallel to the ramp. Taking the acceleration due to gravity as 9.8 m/s², what is the tension in the string?

   • A) 51.0 N
   • B) 29.4 N
   • C) 58.8 N
   • D) 14.7 N
9. 9.

   Two blocks of masses 3.0 kg and 5.0 kg rest on a frictionless horizontal surface and are connected by a light, taut string. If a horizontal force of 24 N pulls the 5.0 kg block directly forward, what is the tension in the connecting string?

   • A) 24 N
   • B) 15 N
   • C) 9.0 N
   • D) 3.0 N
10. 10.

    A crate with a mass of 15 kg is pulled vertically upward by a cable with an acceleration of $2.0\text{ m/s}^2$. Taking the acceleration due to gravity as $9.8\text{ m/s}^2$, what is the tension in the cable?

    • A) $117\text{ N}$
    • B) $147\text{ N}$
    • C) $177\text{ N}$
    • D) $207\text{ N}$

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