Aswing is made from a rope that will tolerate a maximum tension of 5.07 x 102 n without breaking. initially, the swing hangs vertically. the swing is then pulled back at an angle of 58.6 ° with respect to the vertical and released from rest. what is the mass of the heaviest person who can ride the swing?

m = 19.16 kg

Explanation:

from the question we have:

maximum tension (T) = 5.07 x 10^{2} N

angle formed (θ) = 58.6 degrees

acceleration due to gravity (g) = 9.8 m/s^{2}

length of the rope (r) = ?

maximum mass (m) =?

we can get the maximum height from the equation below

T -  mg = \frac{mv^{2}}{r}

But we need to find the velocity, and we can do so by applying the conservation of energy

mgh = 0.5mv^{2}

gh =0.5v^{2}

h is the vertical height of the rope = r x sin 58.6

h = 0.85r

now we have

9.8 x 0.85r = 0.5 x v^{2}

v^{2} = 16.66r

now we can substitute the value of v^{2} into T -  mg = \frac{mv^{2}}{r}

T -  mg = \frac{m × 16.66r}{r}

(5.07 x 10^{2}) -  9.8m = m × 16.66

(5.07 x 10^{2}) = 9.8m + 16.66m

(5.07 x 10^{2}) = 26.46m

m = 19.16 kg

i just did an experiment like this in my science class. also the answer is yes, it will get separated because they are two opposites meaning if they are opposite they can not attract.

hope this .!