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

AI Thread Summary
The vehicle, with a mass of 600 kg, experiences a net forward force of 1200 N after accounting for a frictional force of 300 N. This results in an acceleration of 2 m/s², calculated using the formula a = F/m. After 6 seconds, the change in velocity is determined to be 12 m/s, leading to a momentum of 7200 kg·m/s when applying the momentum formula p = mv. The calculations confirm that both the acceleration and momentum are correctly derived, emphasizing the importance of units in the final result. The discussion effectively illustrates the relationship between force, mass, acceleration, and momentum in vehicle dynamics.
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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