Answer:
a.6373.5 N
b.-3837.6 N
Explanation:
Mass of roller coaster=m=1040 kg
Radius=r=24 ,
a.[tex]v=9.4m/s[/tex]
Normal force=[tex]F_N[/tex]
According to question
[tex]mg-F_N=\frac{mv^2}{r}[/tex]
Where [tex]g=9.81 m/s^2[/tex]
Substitute the values
[tex]1040\times 9.81-F_N=\frac{1040\times (9.4)^2}{24}[/tex]
[tex]10202.4-F_N=3828.9[/tex]
[tex]F_N=10202.4-3828.9=6373.5 N[/tex]
b.[tex]v=18m/s[/tex]
[tex]g=9.81 m/s^2[/tex]
[tex]1040\times 9.81-F_N=\frac{1040\times (18)^2}{24}[/tex]
[tex]10202.4-F_N=14040[/tex]
[tex]F_N=10202.4-14040=-3837.6 N[/tex]
