What is the Acceleration and Momentum of a Vehicle with Given Forces and Mass?

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Homework Help Overview

The discussion revolves around calculating the acceleration and momentum of a vehicle given its mass and the forces acting on it, specifically a forward engine force and a frictional force. The subject area includes dynamics and the application of Newton's laws of motion.

Discussion Character

  • Exploratory, Mathematical reasoning, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the application of the formula F=ma to find acceleration and explore the relationship between acceleration, velocity, and time. There are attempts to clarify the definition of momentum and its calculation.

Discussion Status

Participants have engaged in a back-and-forth regarding the calculations for acceleration and momentum, with some providing guidance on the relationships between the variables involved. There is a recognition of the importance of units in the final answer.

Contextual Notes

Participants are working within the constraints of a homework assignment, which may limit the depth of exploration into the concepts. There is a focus on ensuring the correct application of formulas and understanding the definitions involved.

Meezus
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Homework Statement


A vehicle has a mass of 600 kg. Its engine provides a forward force of 1500 N, but the motion is resisted by a constant frictional force of 300 N.
Calculate a) the acceleration of the vehicle,
b) its momentum 6.0 s after starting to move.

Homework Equations


F=ma
a=f/m
Change in Moment = Force x Time.

The Attempt at a Solution


using a=f/m i can get acceleration easily.
1500 - 300 = 1200
1200 / 600 = 2.
a = 2 m/s^2

I think part B revolves around Change in Moment = Force x Time but I'm not sure as I can't see anyway to work it out using that formula but I'm unaware of another formula having time and monument in it.
Time = 6.
Force = 1200.
6 x 1200 = 7200?[/B]
 
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Remember the definition of momentum p=mv, and how is the velocity related to acceleration and time.
 
ehild said:
Remember the definition of momentum p=mv, and how is the velocity related to acceleration and time.

acceleration = change in V / t?
 
Meezus said:
acceleration = (change in V) / t?
yes, so what is the velocity after 6 s?
 
ehild said:
yes, so what is the velocity after 6 s?

a x t = change in V.
2 x 6 = 12.
p=m x v
12 x 600 = 7200?
 
Yes, but do no forget the unit. What is it?
You see, it is the same result.
 
ehild said:
Yes, but do no forget the unit. What is it?
You see, it is the same result.
7200 kg.m/s?
 
Correct.
 

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