## Can you figure this out!?

Suppose that a cart is being moved by a certain net force. If the net force is doubled, by how much does the acceleration change? Why does this happen? For what reason?
 PhysOrg.com science news on PhysOrg.com >> Galaxies fed by funnels of fuel>> The better to see you with: Scientists build record-setting metamaterial flat lens>> Google eyes emerging markets networks

Blog Entries: 9
Recognitions:
Homework Help
 Quote by Stargate Suppose that a cart is being moved by a certain net force. If the net force is doubled, by how much does the acceleration change? Why does this happen? For what reason?
Given the second law
$$F=ma$$
and taking into account that mass wouldn't change,what do you think it will happen to the acceleration?

Daniel.
 Recognitions: Gold Member Homework Help Science Advisor The "rigorous" proof should follow from an analysis of the equations $F_1=ma_1$ and $F_2=ma_2$. What is $a_2$ in terms of $a_1$ if you set $F_2=2F_1$?

## Can you figure this out!?

The acceleration slows, right? Why does this happen?

Blog Entries: 9
Recognitions:
Homework Help
 Blog Entries: 9 Recognitions: Homework Help Science Advisor Let's say u have a body of mass "m".U apply a force on it.Call it "F".The second law of dynamics says that the acceleration imprimed by this force (call it "a") is nothing but $$a=\frac{F}{m}$$ Now apply the force doubled.Which means the force 2F.Call the new acceleration "a'" ("a" prime)?Again,the second law says that the acceleration is the ratio between force and mass $$a'=\frac{2F}{m}=2\frac{F}{m}=2a$$ ,where u made use of the first formula to express the new acceleration in terms of the old one. Therefore,the acceleration doubles. Daniel.