Answer:
[tex]a = 2 \frac{m}{s^2}[/tex]
Step-by-step explanation:
Knowing that [tex]F = ma[/tex] being [tex]m[/tex] the mass and [tex]a[/tex] the acceleration we have:
"When a certain constant force acts upon an object with mass 4kg the acceleration of the object is [tex]5 \frac{m}{s^2}[/tex]"
We can calculate that force as: [tex]F = ma = (4Kg) (5\frac{m}{s^2}) = 20 Kg\frac{m}{s^2} = 20 N[/tex]
Now, that force is being aplied to another objet whose mass is 10 Kg and we want to know its acceleration.
Clearing [tex]a[/tex] from the force equation we have:
[tex]a = \frac{F}{m}[/tex] ("The acceleration of the object varies inversely with its mass")
Then,
[tex]a = \frac{F}{m} = \frac{20N}{10Kg} =2 \frac{m}{s^2}[/tex]
