The third floor of a house is 6 m above street level. How much work is needed to move a 141 kg refrigerator to the third floor?
This is a very low house. 2 meters per floor....
mgh=work=141*9.8*6 joules
To calculate the work required to move the refrigerator to the third floor, we need to use the formula:
Work = force × distance
First, we need to find the force required to move the refrigerator. The force can be calculated using the formula:
Force = mass × acceleration due to gravity
Given that the mass of the refrigerator is 141 kg and the acceleration due to gravity is 9.8 m/s², we can calculate the force:
Force = 141 kg × 9.8 m/s²
= 1381.8 N
Now, we need to calculate the distance the refrigerator needs to be moved. Given that the third floor is 6 m above street level, the distance is:
Distance = 6 m
Now we can plug in the values into the equation for work:
Work = force × distance
= 1381.8 N × 6 m
= 8289.6 N·m
= 8289.6 J
Therefore, it would require 8289.6 joules (J) of work to move the 141 kg refrigerator to the third floor.
To solve this problem, we need to calculate the amount of work done to lift the refrigerator to the third floor. The work done is equal to the force applied multiplied by the distance over which the force is applied.
Let's break down the problem into steps:
Step 1: Determine the gravitational force acting on the refrigerator.
The force due to gravity is calculated by multiplying the mass of the object (m) by the acceleration due to gravity (g). The acceleration due to gravity is approximately 9.8 m/s².
Force (F) = mass (m) x acceleration due to gravity (g)
F = 141 kg x 9.8 m/s²
Step 2: Calculate the distance the refrigerator is lifted.
Given that the third floor is 6 m above street level, the distance over which the force is applied is 6 m.
Distance (d) = 6 m
Step 3: Calculate the work done.
The work done is equal to the force applied (F) multiplied by the distance (d) over which the force is applied.
Work (W) = Force (F) x Distance (d)
W = F x d
Now we can substitute the values we calculated in step 1 and step 2 into the formula:
W = (141 kg x 9.8 m/s²) x 6 m
Simplifying the equation:
W = 1386.6 N x 6 m
W = 8319.6 Joules
Therefore, approximately 8,320 Joules of work is needed to move the 141 kg refrigerator to the third floor.