Answer:
[tex]a2 = 2.5~m/s^2[/tex]
Explanation:
Mechanical Force
According to the second Newton's law, the net force F exerted by an external agent on an object of mass m is:
F = m.a
Where a is the acceleration of the object.
Assume we apply some given force F to an object of m1=1 Kg that produces an acceleration [tex]a1=10 m/s^2[/tex], then:
F = m1.a1
The same force F is now applied to a second object m2=4 Kg that produces an acceleration a2, then:
F = m2.a2
Dividing both equations:
[tex]\displaystyle 1=\frac{m1.a1}{m2.a2}[/tex]
Solving for a2:
[tex]\displaystyle a2=\frac{m1.a1}{m2}[/tex]
Substituting values:
[tex]\displaystyle a2=\frac{1*10}{4}[/tex]
[tex]a2 = 2.5~m/s^2[/tex]
