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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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Lesechka [4]

Answer:

c i think

Explanation:

4 0
3 years ago
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An arrow of 43 g moving at 84 m/s to the right, strikes an apple at rest. The arrow sticks to the apple and both travel at 16.8
Aloiza [94]

Answer:

<em>The mass of the apple is 0.172 kg (172 g)</em>

Explanation:

<u>The Law Of Conservation Of Linear Momentum </u>

The total momentum of a system of bodies is conserved unless an external force is applied to it. The formula for the momentum of a body with mass m and speed v is  

P=mv.  

If we have a system of two bodies, then the total momentum is the sum of both momentums:

P=m_1v_1+m_2v_2

If a collision occurs and the velocities change to v', the final momentum is:

P'=m_1v'_1+m_2v'_2

Since the total momentum is conserved, then:

P = P'

Or, equivalently:

m_1v_1+m_2v_2=m_1v'_1+m_2v'_2

If both masses stick together after the collision at a common speed v', then:

m_1v_1+m_2v_2=(m_1+m_2)v'

We are given the mass of an arrow m1=43 g = 0.043 kg traveling at v1=84 m/s to the right (positive direction). It strikes an apple of unknown mass m2 originally at rest (v2=0). The common speed after they collide is v'=16.8 m/s.

We need to solve the last equation for m2:

m_2v_2-m_2v'=m_1v'-m_1v_1

Factoring m2 and m1:

m_2(v_2-v')=m_1(v'-v_1)

Solving:

\displaystyle m_2=\frac{m_1(v'-v_1)}{v_2-v'}

Substituting:

\displaystyle m_2=\frac{0.043(16.8-84)}{0-16.8}

\displaystyle m_2=\frac{-2.8896}{-16.8}

\displaystyle m_2=0.172\ kg

The mass of the apple is 0.172 kg (172 g)

3 0
3 years ago
If a neighbor pushes a lawnmower six times as far as you do but exerts only one third the force, which one of you does more work
Nat2105 [25]

Answer:

Your neighbor does twice as much work.

Explanation:

Distance(measurement) * exertion(force of pushing mower) = work

6 * 1/3 = 2

Your neighbor does twice as much work as you do.

7 0
2 years ago
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Two spheres are made of wood - the first is a variety of wood whose density is equal to that of water, while the second is of a
ki77a [65]

Answer:

The buoyant force experienced by a body is equal to product of unit weight of liguid in which the the objevt is immersed and the volume of liquid replaced by the object.

In the given scenario, bothe the spheres have equal volume and are fully submerged in water. Therefore, the buoyant force experienced by both the spheres will be equal.

5 0
4 years ago
The divisions of the nervous system that have antagonistic is called
Mashutka [201]

Answer:

the sympathetic division and the parasympathetic division.

Explanation:

These two divisions have antagonistic (opposing) effects on the internal organs they innervate (send nerves to = act on).

hope this helps :)

8 0
3 years ago
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