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S_A_V [24]
2 years ago
15

Three carts of masses 4.0 kg, 10kg, and 3.0 kg move on a frictionless track with speeds of v1 = 5.0m/s, v2=3.0m/s, and v3=-3.6 m

/s. The carts stick together after colliding. Find the final velocity of the three carts.
​
Physics
1 answer:
gogolik [260]2 years ago
7 0

2.24 m/s is the calculated velocity.

Initial velocity (u) squared plus two times the acceleration (a) times the displacement equals final velocity (v) squared (s). Final velocity (v) is equal to the square root of initial velocity (u) squared plus two times the acceleration (a) times displacement when v is the variable being solved for (s).

The cart's masses and speeds are known.

M1 = 4.00 kg, M2 = 10.0 kg, M3 = 3.00 kg, etc.

v1 = 5.00 m/s = 5.00 m/s, v2 = 3.00 m/s = 3.00 m/s, v3 = -4.00 m/s = 4.00 m/s, and m1v1+m2v2+m3v3 = (m1+m2+m3) v=d frac m 1v 1+m 2v 2+m 3v 3, where (m1+m2 + m3) is the product of (v1 v 1+m2v2+m3v3).

"m 1+m 2+m 3" is equivalent to "m 1+m2+m3/m1v 1+m2v2 +m3v3"

the three carts' final velocities are calculated as follows: v=d frac

{4.00kg\sdot5.00m/s+10.0kg\sdot3.00m/s-3.00kg\sdot4.00m/s} 4.24m/s = 4.50kg+10.0kg+3.00kg vs. 4.50kg+10.0kg+3.00kg

5.00m/s/4.00kg/5.00m/s+10.0m/s/3.00m/s/4.00m/s =2.24m/s.

2.24 m/s is the calculated final velocity.

Learn more about velocity here-

brainly.com/question/18084516

#SPJ9

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Answer:

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Ah hah !  There's an easy way and a hard way to do this one.
If it's OK with you, I'm gonna do it the easy way, and not even
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First, let's look at a few things in this question.

-- "gravitational force between a planet and a mass"
    This is just a complicated way to say "How much does the mass weigh ?"
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-- Do we know the acceleration of gravity on this dark mysterious planet ?
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    It's right there ... 8.8 m/s² .

-- We know the mass.  We know gravity.  And we know that
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I'm pretty sure that you can do the rest of the solution now.

weight = (mass) x (gravity)

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Multiply them:

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That complicated-looking unit is the definition of a Newton !

So the weight is  149.6 Newtons.  That's the answer.  It's choice-A.
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