A student is investigating mass and acceleration. The student applies the same force of 40 N force to two boxes that have the same size and shape. Box 1 experiences an acceleration of 10 m/s^2 and box 2 experiences an acceleration of 5m/s^2.
To investigate mass and acceleration, the student applies the same force (40 N) to two boxes that have the same size and shape.
For Box 1, which experiences an acceleration of 10 m/s^2, the mass (m1) can be calculated using Newton's second law of motion:
Force (F) = mass (m1) * acceleration (a1)
Substituting the given values:
40 N = m1 * 10 m/s^2
Dividing both sides of the equation by 10 m/s^2:
4 kg = m1
Therefore, the mass of Box 1 is 4 kg.
For Box 2, which experiences an acceleration of 5 m/s^2, the mass (m2) can be calculated in a similar manner:
Force (F) = mass (m2) * acceleration (a2)
Substituting the given values:
40 N = m2 * 5 m/s^2
Dividing both sides of the equation by 5 m/s^2:
8 kg = m2
Therefore, the mass of Box 2 is 8 kg.
In summary, Box 1 has a mass of 4 kg and experiences an acceleration of 10 m/s^2, while Box 2 has a mass of 8 kg and experiences an acceleration of 5 m/s^2.