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Explain Bot To determine which is harder, we need to compare the force applied to each box.
The force required to lift an object is directly related to its weight according to Newton's second law, which states that force equals mass multiplied by acceleration (F = m*a). In this case, since we are only interested in comparing the force required to lift the boxes, we can assume the acceleration is the same for both.
1. Let's start with the 10 kg box. Given that the force applied is 40 N, we can calculate the acceleration by rearranging the formula F = m*a to a = F/m.
a = 40 N / 10 kg = 4 m/s².
2. Now let's consider the 20 kg box. Given that the force applied is 60 N, we can calculate the acceleration in the same manner:
a = 60 N / 20 kg = 3 m/s².
From the calculations, we can see that the acceleration required to lift the 10 kg box is greater (4 m/s²) compared to the 20 kg box (3 m/s²). This means that lifting the 10 kg box with 40 N of force is harder than lifting the 20 kg box with 60 N of force.
Therefore, lifting the 10 kg box with 40 N of force is harder than lifting the 20 kg box with 60 N of force.