Question

A man of mass 50kg carries a bag of weight 40N on his shoulder. The force with which the floor pushes up his feet will be

Answer 1

Answer on Question#54756 - Physics - Mechanics - Kinematics - Dynamics

A man of mass $m = 50\mathrm{kg}$ carries a bag of weight $W_{b} = 40\mathrm{N}$ on his shoulder. The force with which the floor pushes up his feet will be.

**Solution:**

The force with which the floor pushes up his feet is equal to the sum of the man's and bag's weights. Since the man's weight is given by $W_{m} = mg$ (where $g = 10\frac{\mathrm{m}}{\mathrm{s}^{2}}$ - is the acceleration due to gravity), we obtain that the force with which the floor pushes is

$$F = W _ {b} + W _ {m} = W _ {b} + m g = 4 0 \mathrm {N} + 5 0 \mathrm {k g} \cdot 1 0 \frac {\mathrm {m}}{\mathrm {s} ^ {2}} = 5 4 0 \mathrm {N}$$

Answer: 540N.

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