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Nonamiya
26 days ago
5

In this lab, you will use a dynamics track to generate collisions between two carts. If momentum is conserved, what variable cha

nge would result in a velocity change after a collision? In the space below, write a scientific question that you will answer by doing this experiment.
answer for E2020: How does changing mass affect colliding objects?
Physics
2 answers:
Yuliya22 [2.4K]26 days ago
8 0

How does changing mass affect colliding objects?

Ostrovityanka [2.2K]26 days ago
8 0

Using momentum conservation, we can express it as

m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_2v_{2f}

This implies that the speed following the collision is influenced by the mass of both objects involved.

If the masses of the two colliding objects are modified, the resulting speed shifts as well.

For instance,

When two objects share identical mass, their speeds will be exchanged post-collision.

In contrast, if one object is significantly heavier than the other, its velocity remains unchanged after the collision.

Thus, altering the mass will alter the speed of the object subsequent to the collision.

The resulting speed after the collision can be represented as

v_{1f} = \frac{m_1 - m_2}{m_1+m_2}v_{1i} + \frac{2m_2}{m_1+m_2}v_{2i}

v_{2f} = \frac{m_2 - m_1}{m_1+m_2}v_{2i} + \frac{2m_1}{m_1+m_2}v_{1i}

Through these formulas, we can demonstrate how the speeds are linked to the mass.

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Suppose a new asteroid was recently discovered which takes 557 months to orbit the Sun once (that's equal to 16,700 days or 46.4
Keith_Richards [2263]

Answer:

The average distance of the new asteroid from the Sun is estimated to be (2.02 × 10⁶) km.

Explanation:

The orbital speed of planets varies based on their distance from the Sun, which also affects their orbital period.

With its 557 months, equivalent to 46.4 years for an orbit around the Sun, the new asteroid's speed is situated between the orbital speeds of Saturn and Uranus.

Uranus orbits the Sun in 84 years at 24.61 km/hour,

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To interpolate the speed for our asteroid at 46.4 years,

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84 years ----> 24.61 km/h

46.4 years ----> x km/h

29.4 years -----> 34.82 km/h

Setting up the proportion:

(84 - 46.4)/(46.4 - 29.4) = (24.61 - x)/(x - 34.82)

Solving for x gives the asteroid's speed as 31.64 km/hr.

To find the average speed, use the formula:

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Time taken = 16700 days = 16700 × 24 hours = 400800 hours.

Thus, we find that 31.64 = (2πR)/400800.

From this, we get 2πR = 31.64 × 400800 = 12681312 km.

And, R = 12681312/(2π) = 2018293.5 km = (2.02 × 10⁶) km.

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Answer:

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Explanation:

I hope this is helpful and accurate.

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