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A fast-food restaurant uses a conveyor belt to send the burgers through a grilling machine. If the grilling machine is 1.1 $\mathrm{m}$ long and the burgers require 2.5 min to cook, how fast must the conveyor belt travel? If the burgers are spaced 15 $\mathrm{cm}$ apart, what is the rate of burger production (in burgers/min)?

$2.9 \frac{\text { burgers }}{\min }$

Physics 101 Mechanics

Chapter 2

Describing Motion: Kinematics in One Dimension

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

University of Michigan - Ann Arbor

University of Winnipeg

McMaster University

Lectures

03:28

Newton's Laws of Motion are three physical laws that, laid the foundation for classical mechanics. They describe the relationship between a body and the forces acting upon it, and its motion in response to those forces. These three laws have been expressed in several ways, over nearly three centuries, and can be summarised as follows: In his 1687 "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), Isaac Newton set out three laws of motion. The first law defines the force F, the second law defines the mass m, and the third law defines the acceleration a. The first law states that if the net force acting upon a body is zero, its velocity will not change; the second law states that the acceleration of a body is proportional to the net force acting upon it, and the third law states that for every action there is an equal and opposite reaction.

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In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

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So essentially, what is the burger production? We know the speed of the conveyor belt is given by the D equals the average velocity times delta t. So we can solve for the average velocity of the conveyor belt. This will be d divided by tea or rather did about my identity. And this will equal 1.1 meters divided by 2.5 minutes. So this is equaling 0.44 meters per minute. And so the rate of burger production assuming the spacing given is would be central to center. Ah, one could say that there is one burger with for every 0.15 meters and then we'd multiply this by 0.44 meters for every one minute. And this is giving us approximately 2.9 burgers per minute. This would be our burger production rate. That is the end of the solution. Thank you for watching

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