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Zolol [24]
3 years ago
8

A model rocket is launched straight upward with an initial speed of 50.0 m/s. It accelerates with a constant upward acceleration

of 2.00 m/s² until its engines stop at an altitude of 150 m.
a. What is the maximum height reached by the rocket?
b. When does the rocket reach maximum height?
c. How long is the rocket in the air?
Physics
1 answer:
Nonamiya [84]3 years ago
3 0

Answer:

a)5m b)5secs c) 10secs

Explanation:

a) maximum height H = u²/2g

Given u = 50m/s

g = 10m/s²

H = 10²/20

H= 5m

maximum height reached by the rocket is therefore 5m

.b)Time it takes the rocket to reach its maximum height is Tmax = U/g

Tmax = 50/10

Tmax = 5seconds

c) How long the rocket spent in the air is the time of flight T

T = 2U/g

T = 2×50/10

T = 100/10

T = 10seconds

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Answer:

Approximately \rm 11.2 \; N \cdot kg^{-1} at that distance from the center of the planet.

Option A) The low value of g near the cloud top of Saturn is possible because of the low density of the planet.

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The value of g on a planet measures the size of gravity on an object for each unit of its mass. The equation for gravity is:

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\begin{aligned} g &= \frac{G \cdot M}{R^2}\cr &= \frac{6.67\times 10^{-11}\; \rm N \cdot kg^{-2} \cdot m^2\times 5.68\times 10^{26}\; \rm kg}{\left(5.82\times 10^7\; \rm m\right)^2} \cr &\approx 11.2\; \rm N\cdot kg^{-1} \end{aligned}.

Saturn is a gas giant. Most of its volume was filled with gas. In comparison, the earth is a rocky planet. Most of its volume was filled with solid and molten rocks. As a result, the average density of the earth would be greater than the average density of Saturn.

Refer to the equation for g:

\displaystyle g = \frac{G \cdot M}{R^2}.

The mass of the planet is in the numerator. If two planets are of the same size, g would be greater at the surface of the more massive planet.

On the other hand, if the mass of the planet is large while its density is small, its radius also needs to be very large. Since R is in the denominator of g, increasing the value of R while keeping M constant would reduce the value of g. That explains why the value of g near the "surface" (cloud tops) of Saturn is about the same as that on the surface of the earth (approximately 9.81\; \rm N \cdot kg^{-1}.

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