Calculating speed with mass and final velocity

In summary, when a cart with a mass of 1 kg is pushed for 5 seconds on an air track and reaches a speed of 3 m/s, a cart with a mass of 2 kg pushed with the same force for the same time will not necessarily reach a speed of 6 m/s. This is because the forces and distances are the same in both cases, but the masses are different. To determine the final speed, one can use the standard SUVAT equations or consider the physical quantity that is related to the force applied for a certain time.
  • #1
Nodabove
2
0

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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  • #2
is there a specif equation for this or is it just half the final velocity because its twice as heavy?
 
  • #3
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.
 

FAQ: Calculating speed with mass and final velocity

What is the formula for calculating speed with mass and final velocity?

The formula for calculating speed is: speed = final velocity / mass.

How do I determine the final velocity?

The final velocity can be determined by dividing the distance traveled by the time it took to travel that distance.

What is the unit of measurement for speed?

The unit of measurement for speed is meters per second (m/s).

What happens to speed when mass increases?

As mass increases, speed decreases. This is because a larger mass requires more force to move, resulting in a slower speed.

Can speed be negative?

Yes, speed can be negative. A negative speed indicates that the object is moving in the opposite direction of the chosen positive direction.

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