Question

What is the tension in the rope if he accelerates upward at a rate of 1.50 m/s²?

2. Suppose you have a 120-kg wooden crate resting on a wood floor. Coefficient of static friction is 0.5 and coefficient of kinetic friction is 0.3.

Answer 1

The tension in the rope when climbing at a constant speed is equal to the gymnast's weight, while the tension in the rope when accelerating upward is the sum of the weight and the force required for the acceleration.

Step-by-step explanation:

Tension in the Rope when Climbing at Constant Speed:

When the gymnast climbs at a constant speed, the tension in the rope is equal to their weight. This is because the upward force applied by the gymnast is balanced by the downward force of gravity. So, Tension = Weight = mass * acceleration due to gravity = 60.0 kg * 9.8 m/s².

Tension in the Rope when Accelerating Upward:

When the gymnast accelerates upward at a rate of 1.50 m/s², the tension in the rope is the sum of two forces: the force due to gravity and the force required to accelerate the gymnast. So, Tension = Weight + force due to acceleration = mass * acceleration due to gravity + mass * acceleration = 60.0 kg * 9.8 m/s² + 60.0 kg * 1.50 m/s².