Examkin

Soru

Zorluk: OrtaGravity and Free Fall

Engineers are conducting a drop test in a massive vertical vacuum chamber, entirely eliminating air drag. They simultaneously release a robust data-recording payload with a mass of 250 kg250\text{ kg} and a small calibration weight with a mass of 10 kg10\text{ kg} from the exact same altitude. Which of the following statements correctly describes the forces and motion involved in this scenario?

  1. The data-recording payload experiences a greater gravitational force than the calibration weight, but both objects accelerate downward at the same rate.Cevap
  2. B
    The data-recording payload experiences a greater gravitational force, causing it to accelerate downward faster than the calibration weight.
  3. C
    Both objects experience the exact same gravitational force because they are in a vacuum, resulting in equal downward acceleration.
  4. D
    The calibration weight accelerates downward faster because its lower mass provides less inertial resistance to the vacuum environment.

Cevap

The correct answer states that the heavier payload experiences greater gravitational force, but both objects share the same downward acceleration.
The gravitational force (often called weight) acting on an object is calculated by multiplying its mass by the acceleration due to gravity (F=mgF = mg). Because the payload has a larger mass, it experiences a significantly larger gravitational force. However, an object's resistance to changes in motion (inertia) is also determined by its mass. When we calculate acceleration using Newton's Second Law (a=F/ma = F/m), we substitute mgmg for FF, resulting in a=mg/ma = mg/m. The mass cancels out, proving that both objects, regardless of how heavy they are, accelerate downward at the exact same rate (approximately 9.8 m/s29.8\text{ m/s}^2) when air resistance is absent.

Adım Adım Çözüm

1
Identify the primary forces acting on the objects during the drop.
The only force acting on both objects is the gravitational force (weight).
The scenario specifies a vacuum chamber, which means air resistance (drag) is zero.
2
Compare the magnitude of the gravitational force on each object.
The 250 kg250\text{ kg} payload experiences 25 times more gravitational force than the 10 kg10\text{ kg} weight.
Gravitational force is calculated using F=mgF = mg. Since gravitational acceleration (gg) is constant, the force is directly proportional to the object's mass.
3
Determine the acceleration of each object using Newton's Second Law.
Both objects accelerate downward at the exact same rate (gg).
Acceleration is force divided by mass (a=F/ma = F/m). Because the gravitational force FF increases proportionally with mass mm, the ratio remains perfectly constant for all objects.

Anahtar Kavram

Gravitational Force vs. Acceleration in Free Fall
Bu soruyu puanla

Konular

Gravity and Free Fall

Bu konudan daha fazla soru