Answer:
A)
= 77.6 ⁰C
, B)
= 341.6 C
Explanation:
The thermal expansion is given by
ΔL = α L₀ ΔT
The thermal expansion coefficient for polycarbonate varies between 65 and 70 10⁻⁶ ⁰C⁻¹ and for cast iron 12 10⁻⁶ C⁻¹
Let's look for the final temperature that says same shift change
ΔT = ΔL / α L₀
- T₀ = ΔL /α L₀
= T₀ + ΔL / α L₀
Let's calculate for each material
A) Polycarbonate use as thermal expansion coefficient 70 10⁻⁶ C⁻¹
= 23.0 + 0.0268 / (70 10⁻⁶ 7.01)
= 23.0 + 54.6
= 77.6 ⁰C
B) cast iron with thermal expansion coefficient 12 10⁻⁶ C⁻¹
= 23.0 + 0.0268 / (12 10⁻⁶ 7.01)
= 23.0 + 3.1859 10²
= 341.6 C
We have that the maximum height reached by the basketball from its release point is

From the question we are told
- A basketball is tossed upwards with a speed of 5.0 m/s. We can ignore air resistance.
- What is the maximum height reached by the basketball from its release point?
Generally the Newtons equation for Motion is mathematically given as


Therefore
The maximum height reached by the basketball from its release point is

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PE is the energy acquired by a body due to its height ! While KE is the energy acquired by the body due to its motion !
KE+PE = mechanical energy and thus mechanical energy is always conserved due to the conservation of energy which states that energy is neither created nor destroyed but only transformed !