Answer to Question #178116 in Mechanics | Relativity for Faith Ann Heludo

Question

a Force of 10.0N accelerates an object by 3.76m/s². What is the force needed to give the same object an acceleration of 5.0m/s²

Answer 1

To be given in  question 

$F_{1}$ =10.0 $N$

acceleration $a_{1}$ =3.76$meter/sec^2$

acceleration $a_{2}$ =5.0$meter/sec^2$  

Both object same mean $m_{1}=m_{2}=m$

To be asked in question

$F_{2}$ =?

We know that relation between force and acceleration

$F=ma$

First case

$F_{1}=m_{1} a_{1}$

$10.0=m _{1}\times3.76$

$m(1)$ =2.659 $kg$

Second case

$m_{2}=m_{1}=m$

$F_{2}=m_{2}a_{2}$ $=2.659\times5.0$

=13.295$N$

$F_{2}=13.295N$