Given:
• Acceleration, a = 30 m/s²
,• Distance, d = 74 m
,• Force, F = 600 N
,• Frictional force, Ff = 120 N
Let's find the mass of the cart.
To find the mass of the cart, apply Newton's Second Law:
[tex]F_{net}=m*a[/tex]Where:
Fnet is the net force
m is the mass
a is the acceleration.
To find the net force, we have:
[tex]\begin{gathered} F_{net}=F-F_f \\ \end{gathered}[/tex]Thus, we have:
[tex]\begin{gathered} F-F_f=m*a \\ \\ 600-120=m*30 \\ \\ m=\frac{600-120}{30} \\ \\ m=\frac{480}{30} \\ \end{gathered}[/tex]Solving further:
[tex]m=16\text{ kg}[/tex]Therefore, the mass of the cart is 16 kg.
• ANSWER:
16 kg
