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This is College Physics Answers through Shaun Dychko. A gymnast lands on the ground and experiences an acceleration upwards of magnitude salso g’s. So acceleration of 7.00 times g. The mass of the gymnast is 40 kilograms and our question is to figure out the force that they use on the ground. Which, in the ground and then subsequently uses that very same force on the gymnast, however in the oppowebsite direction upwards. So this is the normal force used by the ground on the gymnast, and then there’s additionally a pressure of gravity downwards on the gymnast. So this is a totally free body diagram of the gymnast. There are two forces; one applied upwards by the ground, and the other one used downwards by gravity. So the net pressure is going to be their mass times their acceleration. And this is the acceleration we’re provided, and also we’re likewise given the mass. And we can number out what the force of gravity is, bereason that"s their mass times gravitational area toughness g. And then we’ll figure out what this normal pressure is. And so we’ll include f g to both sides to settle for f n. So f n and is m a plus f g and also then replacing f g through mass times gravitational field stamina. And then factoring out the common aspect, m. We obtain that the normal pressure is mass times the amount of the acceleration plus acceleration as a result of gravity. I"m making use of the terms acceleration because of gravity and also gravitational area strength sort of interchangeably. They"re both reexisting the very same thing. If you talk about gravitational area strength, then your devices are newlots per kilogram is probably what you thinking of. And if you talk about acceleration because of gravity, then the units will certainly be meters per second squared, yet these are identical. Okay, yet anymeans I digress. Lets plug-in some numbers here; We have 40 kilograms times seven g, which is acceleration, plus an additional g. So seven g plus g is eight g.
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So we have actually 40 times eight, times 9.8 meters per second squared. And I guess I might write that down even more explicitly; 40 kilograms times 8.00, times 9.80 meters per secs squared; providing us a pressure of 3.14 times ten to the three newtons.