Calculating speed with mass and final velocity

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SUMMARY

The discussion focuses on calculating the final velocity of a cart with a mass of 2 kg when pushed with the same force for 5 seconds, achieving a final velocity of 3 m/s for a 1 kg cart. It clarifies that the relationship between mass and final velocity is not linear; thus, the final velocity of the 2 kg cart cannot simply be half of that of the 1 kg cart. The relevant equations to apply are the SUVAT equations, which account for constant acceleration under the influence of the same force over the same time period.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with the SUVAT equations
  • Basic knowledge of mass, force, and acceleration
  • Concept of uniform acceleration
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  • Explore the relationship between force, mass, and acceleration in practical experiments
  • Investigate the effects of varying forces on objects of different masses
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Nodabove
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Homework Statement


a cart, with a mass of 1 kg, on an air track is pushed from rest, for a certain length in time (5 seconds) until it reaches a speed of 3 m/s

what speed will a cart of mass 2kg reach when pushed with the same force for the same time?

Homework Equations

The Attempt at a Solution

 
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is there a specif equation for this or is it just half the final velocity because its twice as heavy?
 
Nodabove said:
is it just half the final velocity because its twice as heavy?
It isn't quite that simple. In this question, the forces are the same in the two cases and the times are the same. If it had been same forces and same distances the result would be different
If a force acts for a certain time, what physical quantity does that make you think of? If that doesn't help, just apply the standard SUVAT equations.
 

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