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Difficulty: EasyMechanics and Motion

A motorized conveyor system applies a constant horizontal net force of 80 N80\text{ N} to a container, causing it to accelerate along a smooth surface at 4 m/s24\text{ m/s}^2. What is the mass of the container?

  1. A
    320 kg320\text{ kg}
  2. 20 kg20\text{ kg}Answer
  3. C
    20 N20\text{ N}
  4. D
    0.05 kg0.05\text{ kg}

Answer

The mass of the container is 20 kg20\text{ kg}.
According to Newton's second law of motion (F=maF = ma), mass is equal to net force divided by acceleration (m=Fam = \frac{F}{a}). Dividing 80 N80\text{ N} by 4 m/s24\text{ m/s}^2 gives 20 kg20\text{ kg}.

Step-by-Step Solution

1
Identify the given physical quantities and the relevant equation.
Net Force F=80 NF = 80\text{ N}, Acceleration a=4 m/s2a = 4\text{ m/s}^2, and Newton's Second Law is F=maF = ma.
Newton's second law relates net force, mass, and acceleration.
2
Rearrange the equation to solve for mass (mm) and substitute the given values.
m=Fa=80 N4 m/s2=20 kgm = \frac{F}{a} = \frac{80\text{ N}}{4\text{ m/s}^2} = 20\text{ kg}.
Dividing both sides of F=maF = ma by aa isolates the unknown mass mm.

Key Concept

Newton's Second Law of Motion (F=maF = ma)
Estimated Time:45s
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Topics

Mechanics and Motion

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