Suppose a 59.5 kg gymnast climbs a rope. (a) What is the tension (in N) in the rope if he climbs at a constant speed? N. (b) What is the tension (in N) in the rope if he accelerates upward at a rate of 1.30 m/s2? N.
Suppose a 59.5 kg gymnast climbs a rope. (a) What is the tension (in N) in the rope if he climbs at a constant speed? N. (b) What is the tension (in N) in the rope if he accelerates upward at a rate of 1.30 m/s2? N.
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![**Problem Statement:**
Suppose a 59.5 kg gymnast climbs a rope.
**(a)** What is the tension (in N) in the rope if the gymnast climbs at a constant speed?
\[ \text{Tension: } \_\_\_\_ \text{ N} \]
**(b)** What is the tension (in N) in the rope if the gymnast accelerates upward at a rate of 1.30 m/s²?
\[ \text{Tension: } \_\_\_\_ \text{ N} \]
**Explanation:**
For Part (a), the tension in the rope will equal the gravitational force acting on the gymnast if they climb at a constant speed. This is because the forces are balanced (no net acceleration).
For Part (b), the tension must also counteract the additional force required for the upward acceleration. This requires calculating the net force with the given acceleration rate and adding it to the gravitational force.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53409a93-d066-4667-98a3-0911cacf5595%2Fc391b7a2-d4f2-4339-832c-5b8375f28972%2F69gg8i9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Suppose a 59.5 kg gymnast climbs a rope.
**(a)** What is the tension (in N) in the rope if the gymnast climbs at a constant speed?
\[ \text{Tension: } \_\_\_\_ \text{ N} \]
**(b)** What is the tension (in N) in the rope if the gymnast accelerates upward at a rate of 1.30 m/s²?
\[ \text{Tension: } \_\_\_\_ \text{ N} \]
**Explanation:**
For Part (a), the tension in the rope will equal the gravitational force acting on the gymnast if they climb at a constant speed. This is because the forces are balanced (no net acceleration).
For Part (b), the tension must also counteract the additional force required for the upward acceleration. This requires calculating the net force with the given acceleration rate and adding it to the gravitational force.
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