Question

A 15 kg object is being pulled upward by a massless rope with an acceleration of 3.0 m/s2. What is the tension in the rope?

Answer 1

Answer:

• Tension in the rope = 192 Newtons

Explanation:

Given:

• Mass of object, m = 15 kg  

• Object is being pulled upward by a massless rope  

• Acceleration of object, a = 3 m/s²

To find:

• Tension in the rope, T = ?

Formula required:

• Formula to calculate tension force in a rope when body is moving upward  

       T = m g + m a

[ Where T is tension, m is mass, g is acceleration due to gravity, a is acceleration of body ]

• (When body is moving downward tension is given by., T = m g - m a)

 

Calculation:

Using the formula to calculate Tension in rope (when the body is moving upward)

→ T = m g + m a

→ T = ( 15 ) ( 9.8 ) + ( 15 ) ( 3 )

→ T = 147 + 45

→ T = 192 N  

Therefore,

• Tension in the rope would be 192 Newtons.

Answer 2

Answer:

Given :-

A 15 kg object is being pulled upward by a massless rope with an acceleration of 3 m/s².

To Find :-

What is the tension in the rope.

Formula Required :-

▪️T = mg + ma ▪️

(where, T = tension, m = mass, g = gravitational force which value is 9.8 m/s², a = acceleration. )

Solution :-

Given :-

• m = 15 kg
• a = 3 m/s2

▪️ATQ :-

=> T = 15 × 9.8 + 15 × 3

=> T = 147 + 45

----> T = 192 N

Hence, The tension in the rope is 192 N.

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