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Rainbow [258]
3 years ago
15

Superman ferma in 5,0 ∙10^(-3) s un treno inizialmente in corsa alla velocitá di 216km/h. Qual é l’accelerazione media del treno

? Scrivere l’accelerazione in notazione scientifica.
Physics
1 answer:
kotykmax [81]3 years ago
6 0

Answer:

1.2*10^4 m/s^2

Explanation:

The formula to find average acceleration is a=Δv/Δt.

Convert 216 km/hr to m/s

216 km/hr * 1000 m/km * 1 hr/60 mins * 1 min/60 secs = 60 m/s

So a= (60 m/s)/(5.0*10^-3) = 12000 m/s^2

Put that into scientific notation to get 1.2*10^4 m/s^2

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Answer:

1) The maximum jump height is reached at A. 0.337s

2) The maximum center of mass height off of the ground is B. 1.64m

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First of all we need to decompose velocity in its rectangular components, so

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1) We use, v_{fy}=v_{iy}-gt, as we clear it for t and using the fact that v_{fy}=0 at max height, we obtain t=\frac{v_{iy}}{g} =\frac{3.3m/s}{9,8m/s^{2}} =0.337s

2) We can use the formula y_{max}=y_{i}+v_{iy}t-\frac{gt^{2}}{2} for t=0.337s, so

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3) We can use the formula y_{f}=y_{i}+v_{iy}t-\frac{gt^{2}}{2}, to find total time of fligth, so 0.42=1.08+3.3t-\frac{(9.8)t^{2}}{2}\\0=-4.9t^{2}+3.3t+0.66, as it is a second-grade polynomial, we find that its positive root is t=0.834s

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x=6.71m+0.77m=7.48m, aprox x=7.49m

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