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Consider the following set of conditions for an object sliding down an inclined plane. Values of mass (m),...

Consider the following set of conditions for an object sliding down an inclined plane. Values of mass (m), incline angle (θ), and friction coefficient (μ<sub>kinetic</sub>) are given. Which set of conditions would result in the greatest acceleration? If they all have the same acceleration, then enter D as the answer.
Conditions A
m = 1.0 kg
θ = 30°
μ<sub>kinetic</sub> = 0.00
Conditions B
m = 1.0 kg
θ = 40°
μ<sub>kinetic</sub> = 0.00
Conditions C
m = 1.0 kg
θ = 50°
μ<sub>kinetic</sub> = 0.00

Answer

The acceleration of an object on an inclined plane without friction is given by the formula:
a = g * sin(θ)
where g is the acceleration due to gravity (approximately 9.81 m/s²).

  1. For Conditions A: a = 9.81 * sin(30°) = 4.905 m/s²
  2. For Conditions B: a = 9.81 * sin(40°) = 6.302 m/s²
  3. For Conditions C: a = 9.81 * sin(50°) = 7.513 m/s²

Therefore, Conditions C would result in the greatest acceleration.

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