Inclined planes Knowledge-Based Download PDF

Questions

1. 1.

   A 4.0 kg box is pushed up a rough ramp inclined at 30° above the horizontal at a constant speed by an applied force directed parallel to the ramp. If a kinetic friction force of 6.0 N opposes the motion, taking the magnitude of the acceleration due to gravity as 9.8 m/s² and $\sin(30^\circ) = 0.50$, what is the magnitude of the applied force?

   • A) 19.6 N
   • B) 25.6 N
   • C) 13.6 N
   • D) 45.2 N
2. 2.

   Two blocks of masses 2.0 kg and 3.0 kg are placed in contact on a frictionless ramp inclined at 30° above the horizontal, with the 2.0 kg block positioned below the 3.0 kg block. If an external force of 50 N directed up the incline is applied to the 2.0 kg block, taking the magnitude of the acceleration due to gravity as 9.8 m/s² and $\sin(30^\circ) = 0.50$, what is the magnitude of the contact force between the two blocks?

   • A) 20 N
   • B) 30 N
   • C) 35 N
   • D) 50 N
3. 3.

   A 3.0 kg block resting on a frictionless ramp inclined at 30° above the horizontal is connected by a light string over a frictionless pulley to a hanging 2.0 kg block. Taking the magnitude of the acceleration due to gravity as 9.8 m/s² and $\sin(30^\circ) = 0.50$, what is the magnitude of the acceleration of the blocks?

   • A) 1.96 m/s²
   • B) 2.45 m/s²
   • C) 3.92 m/s²
   • D) 0.98 m/s²
4. 4.

   A 5.0 kg block slides down an incline tilted at $37^\circ$ above the horizontal, where the coefficient of kinetic friction between the block and the surface is 0.25. Taking the magnitude of the acceleration due to gravity as 9.8 m/s², $\sin(37^\circ) = 0.60$, and $\cos(37^\circ) = 0.80$, what is the magnitude of the acceleration of the block down the incline?

   • A) 1.96 m/s²
   • B) 5.88 m/s²
   • C) 3.92 m/s²
   • D) 7.84 m/s²
5. 5.

   A 4.0 kg crate is held at rest on a frictionless ramp inclined at $37^\circ$ above the horizontal by an applied horizontal force. Taking the magnitude of the acceleration due to gravity as 9.8 m/s², $\sin(37^\circ) = 0.60$, and $\cos(37^\circ) = 0.80$, what is the magnitude of this horizontal force?

   • A) 29.4 N
   • B) 23.5 N
   • C) 31.4 N
   • D) 39.2 N
6. 6.

   A block slides down a ramp inclined at $37^\circ$ above the horizontal at a constant speed. Given that $\sin(37^\circ) = 0.60$ and $\cos(37^\circ) = 0.80$, what is the coefficient of kinetic friction between the block and the ramp?

   • A) 0.48
   • B) 0.60
   • C) 0.80
   • D) 0.75
7. 7.

   A tension force directed parallel to a frictionless ramp inclined at $30^\circ$ above the horizontal pulls a 10 kg block up the incline with an acceleration of 2.0 m/s². Taking the magnitude of the acceleration due to gravity as 9.8 m/s², what is the magnitude of the tension force?

   • A) 20 N
   • B) 29 N
   • C) 69 N
   • D) 118 N
8. 8.

   A 6.0 kg crate rests on a rough ramp inclined at an angle of $30^\circ$ above the horizontal. Taking the magnitude of the acceleration due to gravity as 9.8 m/s², what is the magnitude of the static friction force acting on the crate?

   • A) 50.9 N
   • B) 58.8 N
   • C) 29.4 N
   • D) 33.9 N
9. 9.

   A box with a mass of 8.0 kg rests on a smooth surface inclined at an angle of 60° above the horizontal. Taking the magnitude of the acceleration due to gravity as 9.8 m/s², what is the magnitude of the normal force exerted by the incline on the box?

   • A) 19.6 N
   • B) 39.2 N
   • C) 67.9 N
   • D) 78.4 N
10. 10.

    A 4.0 kg crate is released from rest on a frictionless ramp inclined at an angle of 30° above the horizontal. Taking the magnitude of the acceleration due to gravity as 9.8 m/s², what is the magnitude of the acceleration of the crate down the incline?

    • A) 2.5 m/s²
    • B) 4.9 m/s²
    • C) 8.5 m/s²
    • D) 9.8 m/s²