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
m1= mass 1 = 1.1 kg
Vi1 = initial velocity 1 = 2.7 m/s
m2= 2.4 kg
V2i = -1.9 m/s
We assume east as positive and west as negative.
Apply the formulas:
Vf1 = ?

Replacing:



Answer: 3.6 m/s west
charge needed= 169412 C
Explanation:
energy stored in the battery= 16 KWh= 16 (1000 W)(3600 s)= 5.76 x 10⁷ J
Energy stored is given by U= q V
q= charge
V= voltage= 340 V
so 5.76 x 10⁷ = q (340)
q= 169412 C
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