Studies of gymnasts show that their high rate of injuries to the achilles tendon is due to tensions in the tendon that typically reach 12 times body weight. that force is provided by a pair of muscles, each exerting a force at 23 ∘ to the vertical, with their horizontal components opposite.

for a 53-kg gymnast, find the force in each of these muscles.
express your answers using two significant figures separated by a comma.

What is the speed of an object at a given moment?

Cathy is pedaling down a steep hill on her bicycle and wants to be able to coast up the next hill, which is 25 meters high, without pedaling. cathy and her bicycle have a mass of 75 kg. assuming her bicycle is 100% efficient, what would her speed have to be?

During the experiment if you could triple the breakaway magnetic force with all other quantities left unchanged, what is the new value for the critical velocity if it was v0 (initial velocity), initially? (b) now if you halved the radius with all other quantities left unchanged, what is the new critical velocity if it was v0 (initial velocity), initially? (c) if during the experiment, critical velocity quadrupled with all other quantities left unchanged, what is the new breakaway force if its magnitude was initially f0,?