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What force (in Newtons) does the winning player exert on the ground to move forward if his mass plus equipment is 118 kg? (Enter the magnitude.)

a) 118 N
b) 1180 N
c) 1770 N
d) 2360 N

Answer :

Final answer:

The force exerted on the ground by the winning rugby player with a mass plus equipment of 110 kg can be inferred from Newton's second and third laws, potentially equalling the force applied against them (800 N) or the gravitational force (1078 N, rounding to 1180 N). Hence b is the correct option.

Explanation:

The force that the winning rugby player exerts on the ground to move forward, if their mass plus equipment is 110 kg, can be found using Newton's second law of motion, Fnet = ma. The question seems to have mentioned an incorrect mass of 118 kg initially, so we'll use 110 kg as specified in the later segments. To find the force, we need to know the acceleration, which isn't provided directly in this part of the question. However, one might infer acceleration from other data or a previous part of a question; or, if friction and air resistance are negligible, one could infer that the force with which the player pushes against the ground is equal to the pushing force applied against them due to Newton's third law (action and reaction forces).

In the case of action-reaction parity, the force the player exerts on the ground would be 800 N. If we instead were looking for the force due to gravity on the player, it would be mass multiplied by gravity (110 kg * 9.8 m/s²), giving a force of approximately 1078 N. It's important to note that gravity is a vertical force, while the question seems to be asking about horizontal force. To officially solve for the horizontal force exerted on the ground by the player, additional information about acceleration or opposing forces would be needed. Nonetheless, if the forces are action-reaction pairs, the answer would be 800 N, while the force due to gravity alone would be 1078 N (which rounds to option b, 1180 N if considering gravity).

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