Ben and Larry each carry a 200 N suitcase up three flights of stairs (a height of 10.0 m). Ben does it in 1 minute and Larry does it in 5 mintues. Who does more work on the suitcase?
We are talking WORK not POWER
WORK is Force * distance in direction of force.
Time is not part of Work.
POWER is work per unit of time.
so
They do exactly the SAME amount of work in Joules
200 Newtons * 10 meters =2,000 Joules
( By the way, Ben has 5 times the power :)
Thank you
To determine who does more work on the suitcase, we need to calculate the work done by each person.
The work done on an object can be calculated using the formula:
Work = Force x Distance x Cos(θ)
Where:
- Force is the magnitude of the force applied to the object (in this case, the weight of the suitcase, which is 200 N),
- Distance is the distance over which the force is applied (in this case, the height of the stairs, which is 10.0 m), and
- θ is the angle between the direction of the force and the direction of motion. In this case, we assume the angle is 0 degrees, as both Ben and Larry are moving the suitcase straight up the stairs.
Let's calculate the work done by Ben:
Work by Ben = Force x Distance x Cos(θ)
= 200 N x 10.0 m x Cos(0)
= 200 N x 10.0 m x 1
= 2000 N·m
Now, let's calculate the work done by Larry:
Work by Larry = Force x Distance x Cos(θ)
= 200 N x 10.0 m x Cos(0)
= 200 N x 10.0 m x 1
= 2000 N·m
Therefore, both Ben and Larry do the same amount of work on the suitcase, which is 2000 N·m.
To determine who does more work on the suitcase, we need to calculate the work done by each person.
Work is defined as the product of force and displacement. In this case, the force is the weight of the suitcase, which is given as 200 N, and the displacement is the height of the stairs, which is 10.0 m.
The work done by each person can be calculated using the equation:
Work = Force * Displacement
Let's first calculate the work done by Ben:
Work done by Ben = Force * Displacement
= 200 N * 10.0 m
= 2000 N*m or 2000 J (Joules)
Now let's calculate the work done by Larry:
Work done by Larry = Force * Displacement
= 200 N * 10.0 m
= 2000 N*m or 2000 J (Joules)
Both Ben and Larry perform the same amount of work on the suitcase, which is 2000 Joules. Therefore, neither of them does more work on the suitcase; they do the same amount of work.