The movement of a package on a conveyor belt

Thread starter Losmonkeys17
Start date Feb 13, 2024
Tags

Movement

AI Thread Summary

The discussion focuses on the calculation of work done on a package moving on a conveyor belt, specifically using the equation W = -1/2*m*vi^2. Participants clarify that W represents the work done, while vi denotes the initial velocity of the package. There are questions about the reference frame used for computing work, highlighting the importance of context in physics problems. The conversation emphasizes the need to specify the reference frame for accurate calculations. Understanding these concepts is crucial for correctly applying the work-energy principle in this scenario.

Feb 13, 2024

Losmonkeys17

Homework Statement: A package is dropped on a horizontal conveyor belt. The mass of the package is m = 0.563 kg, the speed of the conveyor belt is v = 0.947 m/s, and the coefficient of kinetic friction between the package and the belt is μk = 0.253.

a) How long does it take for the package to stop sliding on the belt?
0.382 s
You are correct.

b) What is the package’s displacement during this time?
0.181 m
You are correct.

c) What is the energy dissipated by friction?
0.252 J
You are correct.

d) What is the total work done by the conveyor belt?

Relevant Equations: W=-1/2*m*vi^2, W = Fd - fmgd

I have tried doing W=-1/2*m*vi^2 and total work = W + friction work

Physics news on Phys.org

Feb 13, 2024

haruspex

Science Advisor

Homework Helper

Insights Author

Gold Member

2024 Award

Losmonkeys17 said:

W=-1/2*m*vi^2

In that equation, how exactly is W defined? And doesn’t v_i represent initial velocity?

Feb 13, 2024

Orodruin

Staff Emeritus

Science Advisor

Homework Helper

Insights Author

Gold Member

2024 Award

In what reference frame are you computing the work done? In what reference frame does the task want the work done to be computed?

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...

View full post »

Thread 'Explain this asphalt sheen'

This problem is two parts. The first is to determine what effects are being provided by each of the elements - 1) the window panes; 2) the asphalt surface. My answer to that is The second part of the problem is exactly why you get this affect. And one more spoiler:

View full post »

Thread 'Motion in 2 dimensions'

TL;DR Summary: Will motion in y direction eventually stop If an object moves with initial velocity in both x and y direction and acceleration in only the x direction. If the angle of movement with the x axis will eventually become zero does that mean the object will eventually not move in the y direction.

View full post »