A roller coaster has a mass of 275 kg. It sits at the top of a hill with height 85 m. If it drops from this hill, how fast is it going when it reaches the bottom? (Assume there is no air resistance or friction.)

Relax

Respuesta :

kinematic equation

v squared = u squared + 2 a x s

v= sq root (0 + 2 10 x 65)

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Explanation:

Given that,

Mass of the roller costar, m = 275 kg

It sits at the top of a hill with height 85 m, h = 85 m

We need to find the speed with which it is going when it reaches the bottom. It can be calculated using the conservation of energy as :

[tex]\dfrac{1}{2}mv^2=mgh[/tex]

g is the acceleration due to gravity

[tex]v=\sqrt{2gh}[/tex]

[tex]v=\sqrt{2\times 9.8\times 85}[/tex]

v = 40.81 m/s

So, the speed of the roller coaster when it reaches the bottom is 40.81 m/s. Hence, this is the required solution.