# Does V0 affect acceleration under constant Force?

1. Jun 17, 2017

### VinnieD

1. The problem statement, all variables and given/known data

A block of mass M = 10 kg is sitting on the table as shwoin Figure above. There is friction between the block and the table, the coefficient of friction is u = 0.1.
The block has initial velocity V, and a constant forceF is applied to the black as showing Figure above.
A) For the case of V = 0 and F = 5 N, find acceleration of the block
B) Constant force is F = 5N, and at time t = 0, the initial velocity is v = 2 m/s, find acceleration of the block.
C) Constant force is F = 15N, and at time t = 0, the initial velocity is v = 2 m/s find acceleration of the block.

It asks to find the dependence of velocity and position as functions of time, but I assume i just integrate to find those.

2. Relevant equations
ΣF=ma
Ff=μN

3. The attempt at a solution
F0-Ff=10kg(a)
a=(5N-10N)/10kg; a=0

So I think the acceleration is 0 in both cases, but I'm uncertain if the initial velocity would have an effect. Assuming I derived a correctly V0 doesn't affect a, but I'm honestly not sure.

Last edited: Jun 17, 2017
2. Jun 17, 2017

### Staff: Mentor

You didn't state the problem, but in any case acceleration only depends on the net force.

3. Jun 17, 2017

### Staff: Mentor

(5 - 10)/10 does not equal zero.

4. Jun 17, 2017

### VinnieD

I know in the first case the force of friction is greater than the applied force so its a is 0.
How do I find the acceleration of the second case with the V0 of 2?

Is it just -.5m/s2

5. Jun 17, 2017