Tension Transitional Reasoning Download PDF

Questions

1. 1.

   In a mechanics laboratory, a 4.0 kg block (Block P) and a 2.0 kg block (Block Q) are connected by a light, taut cord on a horizontal test bench. Block P rests on a rough section where the kinetic friction force is a constant 8.0 N, while Block Q moves along a frictionless section. A technician pulls Block Q forward with a constant horizontal force of 26 N, causing both blocks to accelerate together. What is the magnitude of the tension in the cord connecting Block P and Block Q?

   • A) 6.0 N
   • B) 12 N
   • C) 18 N
   • D) 20 N
2. 2.

   In an elevator test tower, two counterweights with masses of 3.0 kg and 2.0 kg are connected by a light, inextensible cord passing over a frictionless, massless overhead pulley. The counterweights are held stationary and then released from rest so that they move vertically under the influence of gravity. Taking the acceleration due to gravity as 10 m/s² and neglecting air resistance, what is the magnitude of the tension in the cord while the counterweights are in motion?

   • A) 20 N
   • B) 24 N
   • C) 25 N
   • D) 30 N
3. 3.

   During a physics demonstration, a cart of mass 3.0 kg on a smooth horizontal track is connected to a hanging block of mass 2.0 kg by a light, inextensible cord passing over a frictionless, massless pulley at the edge of the track. When released from rest, the descending block pulls the cart along the horizontal surface without any friction or air resistance. Taking the acceleration due to gravity as 10 m/s², what is the magnitude of the tension in the cord while both objects are accelerating?

   • A) 12 N
   • B) 20 N
   • C) 8 N
   • D) 10 N
4. 4.

   In a physics laboratory, two dynamic carts, Cart X of mass 2.0 kg and Cart Y of mass 3.0 kg, are linked by a light, inextensible cord on a frictionless horizontal track. A constant horizontal pulling force applied directly to Cart Y accelerates the linked system uniformly from rest to a speed of 6.0 m/s over a distance of 9.0 m. What is the magnitude of the tension in the cord linking Cart X and Cart Y during this acceleration?

   • A) 10 N
   • B) 6.0 N
   • C) 4.0 N
   • D) 8.0 N
5. 5.

   An automated transport trolley of mass 40 kg is hauled up a smooth track inclined at 30° to the horizontal by a light cable parallel to the surface. During an operational acceleration test, the motorized winch pulls the trolley so that it accelerates up the ramp at 2.0 m/s2. Neglecting friction and taking the acceleration due to gravity as g = 10 m/s2, what is the magnitude of the tension in the cable?

   • A) 280 N
   • B) 200 N
   • C) 120 N
   • D) 480 N
6. 6.

   A logistics drone is testing an emergency retrieval procedure by hoisting two cargo crates vertically upward along a single line. Crate 1 ($10\text{ kg}$) is connected directly to the drone by a primary cable, while Crate 2 ($5.0\text{ kg}$) hangs directly underneath Crate 1, supported solely by a light, inextensible cord. During the ascent, the drone maintains a steady upward acceleration of $2.0\text{ m/s}^2$. Taking $g = 10\text{ m/s}^2$ and neglecting air resistance, what is the tension in the cord connecting Crate 1 and Crate 2?

   • A) $40\text{ N}$
   • B) $50\text{ N}$
   • C) $60\text{ N}$
   • D) $180\text{ N}$