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Oduvanchick [21]
3 years ago
6

A 41.0 g marble moving at 2.30 m/s strikes a 25.0 g marble at rest. What is the speed of each marble immediately after the colli

sion? Note that the collision is elastic and that it is a "head-on" collision so all motion is along a line.
Physics
1 answer:
Gre4nikov [31]3 years ago
6 0

Answer:

speed of each marble after collision will be 1.728 m/sec

Explanation:

We have given mass of the marble m_1=41gram=0.041kg

Velocity of marble v_1=2.30m/sec

Its collides with other marble of mass 25 gram

So mass of other marble m_2=25gram=0.025kg

Second marble is at so v_2=0m/sec

We have to find the velocity of second marble

From momentum conservation we know that

m_1v_1+m_2v_2=(m_!+m_2)v, here v is common velocity of both marble after collision

So 0.041\times 2.30+0.025\times 0=(0.041+0.025)v

v = 1.428 m /sec

So speed of each marble after collision will be 1.728 m/sec

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Nady [450]

Answer:

The orbital speed of Dactyl is 5.55m/s

Explanation:

The orbital speed can be determined by the combination of the universal law of gravity and Newton's second law:

F = G\frac{M \cdot m}{r^{2}}  (1)

Where G is gravitational constant, M is the mass of the asteroid, m is the mass of the moon and r is the distance between them

In the other hand, Newton's second law can be defined as:

F = ma  (2)

Where m is the mass and a is the acceleration

Then, equation 2 can be replaced in equation 1

m\cdot a  = G\frac{M \cdot m}{r^{2}}  (2)

However, a will be the centripetal acceleration since the moon Dactyl describe a circular motion around the asteroid

a = \frac{v^{2}}{r}  (3)

m\frac{v^{2}}{r} = G\frac{M \cdot m}{r^{2}} (4)

Therefore, v can be isolated from equation 4:

m \cdot v^{2} = G \frac{M \cdot m}{r^{2}}r

m \cdot v^{2} = G \frac{M \cdot m}{r}

v^{2} = G \frac{M \cdot m}{rm}

v^{2} = G \frac{M}{r}

v = \sqrt{\frac{G M}{r}} (5)

Finally, the orbital speed can be found from equation 5:

Notice, that it is necessary to express r in units of meters.

r = 95km \cdot \frac{1000m}{1km} ⇒ 95000m

v = \sqrt{\frac{(6.672x10^{-11}N.m^{2}/kg^{2})(4.4x10^{16}kg)}{95000m}}

v = 5.55m/s

Hence, the orbital speed of Dactyl is 5.55m/s

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Answer: Hope This Helps!

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Answer:

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