Calculate Car Mass: 19,454 N Force at 201 mph Speed

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Homework Help Overview

The discussion revolves around calculating the mass of a race car given a force of 19,454 N while traveling at a constant speed of 201 mph (91.36 m/s). The problem involves concepts from mechanics, specifically relating to force, mass, and weight.

Discussion Character

  • Conceptual clarification, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between force, mass, and acceleration, questioning how to apply the formula F=m(a) in the context of constant speed. Some participants consider the implications of the force being the weight of the car and discuss the distinction between weight and mass.

Discussion Status

The discussion is active, with participants raising questions about the interpretation of the force as weight and its implications for the calculation. There is an exploration of the necessary variables and formulas, with some guidance provided regarding the definitions of weight and mass.

Contextual Notes

Participants are navigating the distinction between weight and mass, and there is a consideration of gravitational acceleration in the context of the problem. The discussion reflects uncertainty about the correct application of the formulas involved.

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A race car exerts 19,454 N while the car travels at a constant speed of 201 mph, 91.36 m/s. What is the mass of the car?

F=m(a)
I have no idea how to start this problem; I labelled out my given info but i do not know how to incorporate it into my equation. At first i thought to use kinematic equations but that did not work.
 
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math989 said:
A race car exerts 19,454 N while the car travels at a constant speed of 201 mph, 91.36 m/s. What is the mass of the car?

F=m(a)
I have no idea how to start this problem; I labelled out my given info but i do not know how to incorporate it into my equation. At first i thought to use kinematic equations but that did not work.

If by "A race car exerts 19,454 N ...", the problem means this is the normal force acting on the road surface due to the gravitational attraction between the Earth and the car, how would that affect the use of your formula?
 
Does that indicate that i have to use the gravity of the Earth for the "a" variable and rearrange the equation so that it is m=f/g?
 
Well, the car is traveling at constant speed, so there is no acceleration down the track. It's a simple calculation, so why not try it?
 
The 19454N is the weight of the car.
What is the difference between weight and mass?
 
Mass - simply measurement of amount of matter in a body, it is expressed in m or M.
Weight - Measurement of the amount of force used by gravity to pull that matter, it is expressed in W. Weight is mass multiplied by the acceleration of gravity.

Formula: W = mg
where, W - Weight
m - Mass
g - gravitational acceleration
 

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