- #1
Beamsbox
- 61
- 0
I have a problem that's a bit more complicated than this, but the basic idea is this: a force is changing over time, it changes linearly. And I need to find the velocity. after multiple changes over time.
------------------------
given:
velocity, v0 = 3 m/s
mass, m = 3 kg.
at t = 0, F = 2N
at t = 2, F = 6N
(This change is linear throughout the given two seconds.)
what is the v at T = 2?
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I tried to average the change in force over the given time, using the formula:
Favg = delta F/t
Favg = 4/2 = 2N
Then, I took the formula: F = ma (mass x acceleration)
a = F/m
a = 2N/3kg
a = 2/3 m/s2
Then I took the formula: v = at (acceleration x time)
v = (2/3 m/s2)(2s)
But this doesn't give me the correct answer... hmmm...
Basically the problem doesn this multiple times, but I need to figure out how to do it once first!
------------------------
given:
velocity, v0 = 3 m/s
mass, m = 3 kg.
at t = 0, F = 2N
at t = 2, F = 6N
(This change is linear throughout the given two seconds.)
what is the v at T = 2?
------------------------
I tried to average the change in force over the given time, using the formula:
Favg = delta F/t
Favg = 4/2 = 2N
Then, I took the formula: F = ma (mass x acceleration)
a = F/m
a = 2N/3kg
a = 2/3 m/s2
Then I took the formula: v = at (acceleration x time)
v = (2/3 m/s2)(2s)
But this doesn't give me the correct answer... hmmm...
Basically the problem doesn this multiple times, but I need to figure out how to do it once first!