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Skateboarder Toby, with a mass of 103 kg, starts his descent from the top of a 6.0 m half-pipe, which has negligible friction. What is Toby’s speed at a height of 3.5 m?

Answer :

Final answer:

We use the conservation of energy concept to equate Toby's initial potential energy at the top of the half-pipe and his total energy (kinetic plus potential energy) at 3.5 m. The resulting equation is used to solve for his velocity at 3.5 m.

Explanation:

The question asks for Toby's speed when he reaches a height of 3.5m in a half-pipe. This involves the concept of conservation of energy where the total energy remains constant in a system. Initially, Toby has potential energy but zero kinetic energy (velocity = 0). As he descends, this potential energy gets converted to kinetic energy. Equating the initial potential energy and the energy when Toby is at a height of 3.5 m:

Potential Energy at top = Kinetic Energy + Potential Energy at 3.5m

Using the formula of potential energy (m*g*h) and kinetic energy (1/2*m*v^2), where m = mass, g = acceleration due to gravity, h = height, v = velocity, we can solve for v.

After the calculation, you will get the result for v (velocity), which is Toby's speed at a height of 3.5m on his descent.

Learn more about Conservation of Energy here:

https://brainly.com/question/35373077

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