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Andrei [34K]
3 years ago
15

"two planets have the same mass, but planet a has 3 times the radius of planet

Physics
1 answer:
lyudmila [28]3 years ago
4 0
The gravitational acceleration on the surface of planet A is:
g_A =  \frac{GM_A}{r_A^2}
where G is the gravitational constant, M_A is the mass of planet A and r_A its radius.

Similarly, the gravitational acceleration on the surface of planet B is:
g_B = \frac{GM_B}{r_B^2}

The ratio between the gravitational acceleration on planet A and B becomes:
\frac{g_A}{g_B}= \frac{GM_A / r_A^2}{GM_B/r_B^2}  = \frac{M_A r_B^2}{M_B r_A^2}

The problem says that the two masses are equal: M_A = M_B while planet A has 3 times the radius of planet B: r_A = 3 r_B. Substituting into the ratio, we get:
\frac{g_A}{g_B} =  \frac{M_B r_B^2}{M_B (3 r_B)^2} =  \frac{1}{9}

so, gravity on planet B is 9 times stronger than planet A.
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Answer:

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Explanation:

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In designing circular rides for amusement parks, mechanical engineers must consider how small variations in certain parameters c
Bess [88]

Answer:

Part a)

dF = -\frac{mv^2}{r^2} dr

Part b)

dF = \frac{2mvdv}{r}

Part c)

dT = - \frac{2\pi r}{v^2} dv

Explanation:

Part a)

As we know that force on the passenger while moving in circle is given as

F = \frac{mv^2}{r}

now variation in force is given as

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here speed is constant

Part b)

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F = \frac{mv^2}{r}

so we have

dF = \frac{2mvdv}{r}

Part c)

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dT = - \frac{2\pi r}{v^2} dv

8 0
3 years ago
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3 years ago
Please help! Will give brainliest. 10 points. Show work!
Natasha_Volkova [10]

Answer:

421.83 m.

Explanation:

The following data were obtained from the question:

Height (h) = 396.9 m

Initial velocity (u) = 46.87 m/s

Horizontal distance (s) =...?

First, we shall determine the time taken for the ball to get to the ground.

This can be calculated by doing the following:

t = √(2h/g)

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Height (h) = 396.9 m

Time (t) =.?

t = √(2h/g)

t = √(2 x 396.9 / 9.8)

t = √81

t = 9 secs.

Therefore, it took 9 secs fir the ball to get to the ground.

Finally, we shall determine the horizontal distance travelled by the ball as illustrated below:

Time (t) = 9 secs.

Initial velocity (u) = 46.87 m/s

Horizontal distance (s) =...?

s = ut

s = 46.87 x 9

s = 421.83 m

Therefore, the horizontal distance travelled by the ball is 421.83 m

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Answer:

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