Normal force Transitional Reasoning Download PDF

Questions

1. 1.

   During a safety test on a straight, level track, a 6.0 kg instrument module rests on the frictionless horizontal floor of a test cart, in direct contact with the cart's rigid vertical front wall. The cart travels at an initial speed of 18 m/s and brakes with uniform acceleration, coming to a complete stop over a distance of 54 m. Taking the acceleration due to gravity as 10 m/s², what is the magnitude of the normal force exerted by the vertical front wall on the instrument module during braking?

   • A) 60 N
   • B) 36 N
   • C) 18 N
   • D) 78 N
2. 2.

   A smooth, uniform cylinder of mass 6.0 kg rests in static equilibrium inside a symmetrical V-shaped trough. Both frictionless inclined faces of the trough make an angle of 53° with the horizontal. Taking the acceleration due to gravity as 10 m/s², sin 53° = 0.80, and cos 53° = 0.60, what is the magnitude of the normal force exerted by one of the inclined faces on the cylinder?

   • A) 50 N
   • B) 30 N
   • C) 60 N
   • D) 36 N
3. 3.

   A smooth wedge with an inclined face making an angle of 37° with the horizontal is accelerated horizontally along a level floor. A 4.0 kg block resting on the frictionless incline remains stationary relative to the wedge throughout the motion. Taking the acceleration due to gravity as 10 m/s², sin 37° = 0.60, and cos 37° = 0.80, what is the magnitude of the normal force exerted by the wedge on the block?

   • A) 24 N
   • B) 32 N
   • C) 40 N
   • D) 50 N
4. 4.

   In a physics demonstration, two smooth rectangular blocks, Block X of mass 2.0 kg and Block Y of mass 3.0 kg, rest on a frictionless horizontal surface in contact with each other along their vertical faces. A student applies a constant horizontal pushing force of 25 N to Block X, directed toward Block Y, causing both blocks to accelerate together along the surface. What is the magnitude of the normal force exerted by Block X on Block Y during this motion?

   • A) 15 N
   • B) 10 N
   • C) 25 N
   • D) 20 N
5. 5.

   A technician holds a 3.0 kg sensor unit stationary against a flat, horizontal ceiling by applying a continuous pushing force of 50 N directed at an angle of 53° above the horizontal. Static friction between the unit and the ceiling prevents horizontal slipping, and the rigid surface prevents any upward penetration. Taking the acceleration due to gravity as 10 m/s², sin 53° = 0.80, and cos 53° = 0.60, what is the magnitude of the normal force exerted by the ceiling on the sensor unit?

   • A) 70 N
   • B) 40 N
   • C) 30 N
   • D) 10 N
6. 6.

   During a laboratory investigation on contact forces, a student places a 5.0 kg wooden block on a horizontal table and rests a 2.0 kg metal cylinder on top of the block. A light vertical string attached to the upper surface of the cylinder exerts a continuous upward tension of 8.0 N, keeping both objects stationary without separating them. Taking the acceleration due to gravity as 10 m/s², what is the magnitude of the normal force exerted by the wooden block on the metal cylinder?

   • A) 28 N
   • B) 20 N
   • C) 12 N
   • D) 62 N
7. 7.

   A 10 kg crate is positioned on a fixed ramp inclined at an angle of 37° to the horizontal. A worker applies a constant horizontal pushing force of 50 N directed toward the ramp, pressing the crate against the inclined surface as it remains in contact with the plane. Taking the acceleration due to gravity as 10 m/s², $\sin 37^\circ = 0.60$, and $\cos 37^\circ = 0.80$, what is the magnitude of the normal force exerted by the ramp on the crate?

   • A) 50 N
   • B) 80 N
   • C) 100 N
   • D) 110 N
8. 8.

   A researcher holds a 2.0 kg sensor module stationary against a flat, vertical wall by applying a constant force of 50 N directed at an angle of 37° above the horizontal toward the wall. The wall lies in a vertical plane and prevents any horizontal displacement into the surface. Taking the acceleration due to gravity as 10 m/s², $\sin 37^\circ = 0.60$, and $\cos 37^\circ = 0.80$, what is the magnitude of the normal force exerted by the wall on the sensor module?

   • A) 40 N
   • B) 50 N
   • C) 20 N
   • D) 10 N
9. 9.

   A student with a mass of 55 kg stands on a calibrated platform scale inside an elevator to investigate apparent weight. While descending at a speed of 4.0 m/s, the elevator brakes to a complete stop with uniform acceleration over a duration of 2.0 s. Taking the acceleration due to gravity as 10 m/s², what is the magnitude of the normal force exerted by the scale on the student during this deceleration?

   • A) 660 N
   • B) 440 N
   • C) 550 N
   • D) 110 N
10. 10.

    A student pulls a 12 kg equipment case across a level floor by applying a tension force of 40 N at an angle of 30° above the horizontal. The case maintains continuous contact with the floor and moves with purely horizontal motion. Taking the acceleration due to gravity as 10 m/s² and sin 30° = 0.50, what is the magnitude of the normal force exerted by the floor on the case?

    • A) 120 N
    • B) 140 N
    • C) 100 N
    • D) 85 N