Apparent weight Knowledge-Based Download PDF

Questions

1. 1.

   An object is suspended from a spring scale attached to the ceiling of an elevator. The scale registers an apparent weight $F_1$ when the elevator accelerates upward with acceleration $a$, and $F_2$ when it accelerates downward with the same acceleration $a$. What is the actual gravitational weight of the object?

   • A) $F_1 - F_2$
   • B) $\sqrt{F_1 F_2}$
   • C) $\frac{F_1 - F_2}{2}$
   • D) $\frac{F_1 + F_2}{2}$
2. 2.

   A rocket launches vertically with an upward acceleration of magnitude $3g$. What is the ratio of an astronaut's apparent weight during this launch to their actual gravitational weight?

   • A) 2
   • B) 3
   • C) 4
   • D) 5
3. 3.

   An object with a true weight of 400 N rests on a scale inside an elevator that is moving downward and slowing down at a rate of $2.5\text{ m/s}^2$. Taking $g = 10\text{ m/s}^2$, what apparent weight does the scale register?

   • A) 100 N
   • B) 300 N
   • C) 500 N
   • D) 400 N
4. 4.

   A passenger standing on a scale in an elevator observes a reading of 700 N at constant velocity and 840 N while accelerating upward. What does the scale read when the elevator accelerates downward with the same magnitude of acceleration?

   • A) 140 N
   • B) 700 N
   • C) 980 N
   • D) 560 N
5. 5.

   During a parabolic flight designed to simulate weightlessness, an aircraft accelerates downward at the acceleration due to gravity, $g = 9.8\text{ m/s}^2$. What apparent weight does a scale register for an $80\text{ kg}$ passenger during this maneuver?

   • A) $0\text{ N}$
   • B) $784\text{ N}$
   • C) $392\text{ N}$
   • D) $1568\text{ N}$
6. 6.

   A person with a mass of $70\text{ kg}$ stands on a scale in an elevator that is moving upward at a constant velocity of $4.0\text{ m/s}$. Taking $g = 9.8\text{ m/s}^2$, what apparent weight does the scale register?

   • A) $966\text{ N}$
   • B) $406\text{ N}$
   • C) $686\text{ N}$
   • D) $280\text{ N}$
7. 7.

   Which statement correctly defines the apparent weight of an object resting on a supporting surface?

   • A) It is the true gravitational force exerted on the object by the Earth.
   • B) It is the net external force acting on the object to produce its acceleration.
   • C) It is the product of the object's mass and the acceleration of the reference frame.
   • D) It is the magnitude of the normal contact force exerted by the supporting surface on the object.
8. 8.

   Under which of the following conditions does a scale support a passenger such that their apparent weight is strictly greater than their actual gravitational weight?

   • A) The elevator moves upward at a constant speed.
   • B) The elevator moves upward while slowing down.
   • C) The elevator moves downward while speeding up.
   • D) The elevator moves downward while slowing down.
9. 9.

   A 60 kg student stands on a scale inside an elevator. If the scale registers an apparent weight of 720 N, what are the magnitude and direction of the elevator's acceleration? (Assume g = 10 m/s2.)

   • A) 2.0 m/s2, directed upward
   • B) 2.0 m/s2, directed downward
   • C) 12 m/s2, directed upward
   • D) 12 m/s2, directed downward
10. 10.

    A 65 kg person stands on a spring scale inside an elevator that accelerates downward at $2.0\text{ m/s}^2$. Taking $g = 9.8\text{ m/s}^2$, what is the apparent weight of the person?

    • A) 767 N
    • B) 507 N
    • C) 637 N
    • D) 130 N