A basketball has a mass of 1 kg and is traveling 12 m/s.

What would happen to the velocity if the momentum of the basketball were cut in half?

Answer:

[tex]6\:\mathrm{m/s}[/tex] (The velocity would also be halved)

Step-by-step explanation:

The momentum of an object is given as [tex]p=mv[/tex] where [tex]m[/tex] is the mass of the object and [tex]v[/tex] is the velocity of the object.

Because mass is constant, if the momentum ([tex]p[/tex]) was cut in half, the velocity of the basketball would also be halved:

Let [tex]p_1[/tex] be the initial momentum and [tex]p_2[/tex] be the final momentum:

[tex]\frac{1}{2}p_1=p_2,\\\frac{1}{2}mv_1=mv_2, \\\fbox{$\frac{1}{2}v_1=v_2$}[/tex]

Therefore, the basketball's new velocity is [tex]\frac{1}{2}\cdot 12=\fbox{$6\:\mathrm{m/s}$}[/tex].

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Candace is 10 years old. Her brother, Jacob, is 45% older than her. How old is Candace's brother?

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55 POINTS AND A THANKS!!! PLEASE HELP! Calculate the area of the polygon

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C. $6.33 per lime

D. $0.63 per lime

someone please help me out with this i can't figure out how to do it step by step

A grocery store sells three different quantities of sugar. A 1-pound bag costs $1.08, a 2-pound bag costs $2.04, and a 3-pound bag costs $2.79. Enter the unit cost in price per pound for each. Complete the description about how the unit cost changes as the quantity of sugar increases.

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The unit cost as the quantity of sugar increases.

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simple question

5m + 12 - m = 32

Which of the following values can be substituted for m to make the equation true?

A. 4
B. 5
C. 6
D. 7
__________________________________________________________________
**Multiple choice** From the set {3, 6, 12, 15, 22}, select all of the values which can be substituted for M to make the inequality true.

2 + M < 16

A. 3
B. 6
C. 12
D. 15
E. 22

is 6,12,18,24,30 proportional

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PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS PLS HELP PLS PLS Select the correct statement.

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Help me with this math plz

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a
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b
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c
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d
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ITS THAT TIME OF DAY
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ASAP PLEASE! THIS IS IMPORTANT

In the diagram, which two angles are corresponding angles with angle 12?

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Angle 8 and Angle 16

Angle 6 and Angle 10

Angle 9 and Angle 11

Angle 5 and Angle 15