Answer:
The value of acceleration when force is changed to 48 N is = [tex]a_{2}[/tex] = 8 [tex]\frac{m}{s^{2} }[/tex]
Step-by-step explanation:
Force [tex]F_{1}[/tex] = 30 N
Acceleration [tex]a_{1}[/tex] = 5 [tex]\frac{m}{s^{2} }[/tex]
Force [tex]F_{2}[/tex] = 48 N
Now Acceleration [tex]a_{2}[/tex] = ??
Given that the force acting on the object varies directly with the object's acceleration.
⇒ F ∝ a
⇒ [tex]\frac{F_{1} }{a_{1} } = \frac{F_{2} }{a_{2} }[/tex]
Put all the values in above formula we get
⇒ [tex]\frac{30}{5} = \frac{48}{a_{2} }[/tex]
⇒ [tex]a_{2}[/tex] = 8 [tex]\frac{m}{s^{2} }[/tex]
This is the value of acceleration when force is changed to 48 N.
