Peter pushes on a heavy box with a force of 50 N. John assists him by pushing in the same direction with a force of 40 N. The box accelerates at 0.8 m/s2. What is the mass of the box?
Question
Peter pushes on a heavy box with a force of 50 N. John assists him by pushing in the same direction with a force of 40 N. The box accelerates at 0.8 m/s2. What is the mass of the box?
Solution
To find the mass of the box, we can use Newton's second law of motion, which states that the force applied to an object is equal to the mass of the object multiplied by its acceleration (F = ma).
First, we need to find the total force applied to the box. Since Peter and John are pushing in the same direction, we can add their forces together:
Total force = Peter's force + John's force Total force = 50 N + 40 N = 90 N
Next, we can use the given acceleration and the total force to find the mass. We rearrange the formula to solve for mass (m = F/a):
Mass = Total force / acceleration Mass = 90 N / 0.8 m/s² = 112.5 kg
So, the mass of the box is 112.5 kg.
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