Jane hopes to meet Tarzan by sliding down a rope, made of nylon stockings, from her treetop home. The stockings will break if the tension in them exceeds 400 N. Jane has a mass of 60 kg. What is the maximum acceleration with which she can slide down the stocking rope?
F = ma.
a = F/m = 400 / 60 = 6.67 m/s^2.
To find the maximum acceleration with which Jane can slide down the stocking rope without breaking it, we need to use Newton's second law of motion, which states that the force (F) acting on an object is equal to its mass (m) multiplied by its acceleration (a): F = m * a.
In this case, we know that the maximum force the stocking rope can withstand without breaking is 400 N, and Jane's mass is 60 kg.
Since we are looking for the maximum acceleration, we can rearrange Newton's second law equation to solve for the acceleration (a):
a = F / m
Substituting the given values into the equation:
a = 400 N / 60 kg
a ≈ 6.67 m/s²
Therefore, the maximum acceleration with which Jane can slide down the stocking rope without breaking it is approximately 6.67 m/s².