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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:

Explanation:

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A 5 kg block is sliding down a plane inclined at 30^0 with a constant velocity of 4 m/s. To determine the coefficient of frictio
Leya [2.2K]

Answer:

The necessary information is if the forces acting on the block are in equilibrium

The coefficient of friction is 0.577

Explanation:

Where the forces acting on the object are in equilibrium, we have;

At constant velocity, the net force acting on the particle = 0

However, the frictional force is then given as

F = mg sinθ

Where:

m = Mass of the block

g = Acceleration due to gravity and

θ = Angle of inclination of the slope

F = 5×9.81×sin 30 = 24.525 N

Therefore, the coefficient of friction is given as

24.525 N = μ×m×g × cos θ = μ × 5 × 9.81 × cos 30 = μ × 42.479

μ × 42.479 N= 24.525 N

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