# How Is Work Calculated When Lifting an Object with a Tension Force?

• NoHeart
In summary, the work done by the tension force is calculated by adding the product of the mass and acceleration of the object to the product of the mass and gravitational force, and then multiplying that sum by the distance the object was pulled upward. In this case, the work done is 5500 joules.
NoHeart
here's the question:
a mass of 100kg is pulled directly upward a distance of 5m by a rope with acceleration 1m/s^2. what is the work done by the tension force?

so the normal force is mg, 100kg*10m/s^2(gravitational constant given)= 1000N
the applied force is 100kg*1m/s^2= 100N
so is the tension 1000+100? if so the work done is 1100N*5m= 5500J
it's being pulled straight up, so the angle is 0, cos0=1

is it correct to add the two forces to find the total tension?

<quasar go hide in the corner>

Last edited:
NoHeart said:
here's the question:
a mass of 100kg is pulled directly upward a distance of 5m by a rope with acceleration 1m/s^2. what is the work done by the tension force?

so the normal force is mg, 100kg*10m/s^2(gravitational constant given)= 1000N
the applied force is 100kg*1m/s^2= 100N
so is the tension 1000+100? if so the work done is 1100N*5m= 5500J
it's being pulled straight up, so the angle is 0, cos0=1

is it correct to add the two forces to find the total tension?
SOLUTION HINTS:
From problem statement:
{Mass of Object} = m = (100 kg)
{Gravitational Force Downward on Object} = m*g = (100 kg)*(9.81 m/sec^2) = (981 N)
{Acceleration of Object Upwards} = a = (1 m/sec^2)
{Distance Object Pulled Upwards} = H = (5 m)
{Rope Tension Force Upward} = T

{NET Total Force on Object Upward} = m*a =
= {Rope Tension Force Upwards} - {Gravitational Force Downward} =
= T - m*g
::: ⇒ m*a = T - m*g
::: ⇒ T = m*a + m*g

{Work Done By Rope Tension} =
= {Rope Tension Force Upward}*{Distance Object Pulled Upwards} =
= T*H =
= {m*a + m*g}*H

::: ⇒ {Work Done By Rope Tension} = {m*a + m*g}*H
Evaluate above equation to determine work performed by Rope Tension.

~~

Last edited:

## What is work done by tension force?

The work done by tension force refers to the energy transferred by a tension force acting on an object as it moves a certain distance in the direction of the force.

## How is work done by tension force calculated?

The work done by tension force is calculated by multiplying the magnitude of the tension force by the displacement of the object in the direction of the force.

## What factors affect the work done by tension force?

The work done by tension force is affected by the magnitude of the tension force, the distance the object moves, and the angle between the direction of the force and the direction of movement.

## Can the work done by tension force be negative?

Yes, the work done by tension force can be negative if the tension force is acting in the opposite direction of the object's movement. This means that the tension force is actually doing work on the object rather than the object doing work on the tension force.

## How is work done by tension force related to kinetic energy?

The work done by tension force is directly related to the change in kinetic energy of an object. If the work done by the tension force is positive, it will increase the object's kinetic energy, and if it is negative, it will decrease the object's kinetic energy.

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