Calculating speed with mass and final velocity

AI Thread Summary
The discussion revolves around calculating the final speed of a cart with a mass of 2 kg when pushed with the same force for the same duration as a 1 kg cart that reaches 3 m/s. It clarifies that the relationship between mass and speed is not straightforward; doubling the mass does not simply halve the final velocity. The key point is that the same force applied over the same time results in the same acceleration, regardless of mass. Participants suggest using the standard SUVAT equations to derive the final velocity. The conclusion emphasizes that the final speed will not be half due to the increased mass, as the acceleration remains constant.
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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