A robotic arm lifts a stack of cafeteria trays weighing 30 newtons (N). It moves the trays 3 meters (m). How much work has the robotic arm performed?
Understand the Problem
The question is asking for the calculation of work performed by a robotic arm lifting trays. Work is defined as the product of force and distance in the direction of the force. In this case, we will apply the formula: Work = Force × Distance.
Answer
The work performed by the robotic arm is \( 90 \, \text{J} \).
Answer for screen readers
The work performed by the robotic arm is ( 90 , \text{J} ).
Steps to Solve
- Identify the formula for work
To find the work done ($W$), we use the formula: $$ W = F \times d $$ where $F$ is the force applied (in newtons) and $d$ is the distance moved (in meters).
- Plug in the values
From the problem, we have:
- Force ($F$) = 30 N
- Distance ($d$) = 3 m
Substituting these values into the formula gives: $$ W = 30 , \text{N} \times 3 , \text{m} $$
- Calculate the work
Now, we perform the multiplication: $$ W = 30 \times 3 = 90 , \text{J} $$
The work performed by the robotic arm is ( 90 , \text{J} ).
More Information
In physics, work is measured in joules (J). One joule is the amount of work done when a force of one newton displaces an object by one meter in the direction of the force.
Tips
- Confusing the formula for work; remember it strictly involves force and distance.
- Forgetting to ensure units are consistent (N for force and m for distance).
AI-generated content may contain errors. Please verify critical information
