Question

which requires more force to stop if they have the same acceleration : sumo wrestler or fairy? Explain why?

Answer 1

Answer on Question #48704 – Physics - Mechanics | Kinematics | Dynamics

which requires more force to stop if they have the same acceleration : sumo wrestler or fairy? Explain why?

Solution:

$M$ – The mass of the sumo wrestler;

$m$ – The mass of the fairy;

$a_{s} = a_{f} = a$ – acceleration of the wrestler and fairy;

$F_{s}$ – force we must apply to stop sumo wrestler;

$F_{f}$ – force we must apply to stop fairy;

According to the Newton's Second law:

$$F = \text{mass} \cdot \text{acceleration}$$

Hence, we must apply some forces $F_{s}$ and $F_{f}$ of our bodies to stop their motion:

Force to stop sumo wrestler:

$$F_{s} = M \cdot a_{s} = M \cdot a$$

Force to stop fairy:

$$F_{f} = m \cdot a_{f} = m \cdot a$$

If the $M > m$ (mass of the wrestler is bigger then mass of the fairy)

$$F_{s} > F_{f}$$

Thus, more force requires to stop sumo wrestler.

Answer: more force requires to stop sumo wrestler.

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