Answer:
Conservation of momentum means that the final momentum must be the same as the initial momentum, where the momentum is defined as:
P = m*v
where m is mass, and v is velocity.
First, let's calculate Pi, the initial momentum.
Pi = Pi₁ + Pi₂
Where the subscripts 1 and 2 refer to each puck:
Pi₁ = 0.17kg*15m/s = 2.55 (kg*m/s)
Pi₂ = 0.11kg*0m/s = 0 (kg*m/s)
Pi = 2.55 (kg*m/s) + 0 (kg*m/s) = 2.55 (kg*m/s)
Now, after the collision we have that:
The first puck comes to rest, then:
Pf₁ = 0.17kg*0m/s = 0 (kg*m/s)
And the second puck will have a velocity v, that we want to find:
Pf₂ = 0.11kg*v
Pf = Pf₁ + Pf₂ = 0 (kg*m/s) + 0.11kg*v = 0.11kg*v
And by conservation of momentum we have:
Pi = Pf
2.55 (kg*m/s) = 0.11kg*v
We divide in both sides by 0.11kg
2.55 (kg*m/s)/0.11kg = v
23.2 m/s = v
And from this, the final momentum will be the same as the initial:
Pf = 23.2m/s*0.11kg = 2.55 (kg*m/s)
The total final momentum of the system is 2.55 Kg m/sec and this can be determined by conserving the momentum.
Given :
A hockey puck with a mass of 0.17 kg is traveling to the right along the ice at 15 m/s it strikes a second hockey puck with a mass of 0.11 kg the first hockey puck comes to rest after the collision of conservation of momentum holds.
The formula of the momentum is given below:
P = mv
Now, let conserve the moment, that is:
[tex]\rm P_i=P_f[/tex] --- (1)
where [tex]\rm P_i[/tex] is the initial momentum and [tex]\rm P_f[/tex] is the final momentum.
First, determine the initial momentum.
[tex]\rm P_i = 0.17\times 15 + 0.11\times 0= 2.55\;Kg\;m/sec[/tex]
Now, determine the final momentum.
[tex]\rm P_f = 0.17\times 0+ 0.11\times v = 0.11v\;Kg\;m/sec[/tex]
Now. substitute the value of [tex]\rm P_i[/tex] and [tex]\rm P_f[/tex] in the equation (1).
[tex]\rm 2.55=0.11v[/tex]
v = 23.18 m/sec
So, the final momentum can be calculated as:
[tex]\rm P = 23.18 \times 0.11[/tex]
P = 2.55 Kg m/sec
For more information, refer to the link given below:
https://brainly.com/question/4956182
5
4 cm
4 cm
2 cm
6 cm
Help! I will give the Brainly
Answer:
sry i hope u find what your looking for
PLEASE HELP, DUE SOON!!
Find the slope of the graph. Write it as a fraction or whole number (not a mixed number).
3/5
all u have to do is find two point and count down and to the side basically find the distance of those two points to find the slope.
Answer:
3/5
Step-by-step explanation:
From what I can see two points of the line are (0,1) and (5,4) so you can just count and do rise/run which is y/x or the formula which is like y^2-y^1/x^2-x^1 they both get the same answer which is 3/5
If you plug the numbers into the formula it gives you 4-1/5-0 which is 3/5
Eric earned 60 points on his last test. If there was 75 possible points, WHAT was his PERCENT grade?
Answer:
80
Step-by-step explanation:
Eric-- 60/75
Percentage of Eric ---- 60/75 *100
Eric got 80 percentage in his last test.
Find the value of c that completes the square
x^2-x+c
Please help me with how to do this, and show me. Thank you.
Answer:
The value of c is 1/2
Step-by-step explanation:
We have to find the value of c that completes the square [tex]x^2-x+c[/tex]
So, completing square is of form: [tex]a^2-2ab+b^2=(a-b)^2[/tex]
In the question given the value c can be found by breaking the middle term. we are given -x while the general formula is 2ab for middle term so, our c = 1/2 i.e 2(x)(1/2) we get x so, solving:
[tex]x^2-x+c\\=x^2-2(x)(\frac{1}{2})+(\frac{1}{2})^2-(\frac{1}{2})^2\\=(x-\frac{1}{2})^2-(\frac{1}{2})^2[/tex]
The value of c is 1/2
Help ???????????????
Answer:
A
Step-by-step explanation:
use slope formula hope this helps
The consecutive angles of a rectangle are supplementary
a.) Sometimes
b.) Never
c.) Always
Answer:c
Step-by-step explanation:
Which of the following could Not be the side length of a right triangle?
Answer:
I think ITS B
Step-by-step explanation:
Hope this helped
-BB
whats 1 + 77 just for you guys to get points :)
Answer:
78 !!!!
Step-by-step explanation:
Answer my math question I asked so many times I lost most of points by
Answer:
i think 3x+12=7x y
Step-by-step explanation:
-12(k + 4) = 60
Distributive property
Answer:
If we are solving for 'k,' then k = -9
how many rides can u go on for $10.00 if each ride is $0.25 ?
Answer:
40
Step-by-step explanation:
0.25x40=10 dollars
I need to find x and y
2x+4y=8
x=3y-6
Answer:
(x, y) = (0 , 2)
Step-by-step explanation:
Answer:
use elimination or substitution.
Step-by-step explanation:
I need help with solving this problem please I will mark brainliest if correct !!!
Answer:
Supplementary angles
Step-by-step explanation:
The 2 angles are same- side interior angles and are supplementary
Zahara mixed 5 quarts of dry ingredients and 2 quarts of water and a batch of concrete .She ran out of the mixture before finishing her project so she made another batch 10 quarts of dry ingredients . How many quarts of water does zahara need to add to keep the consistency the same? Complete the ratio square
Answer: 4 quarts.
Step-by-step explanation:
Given data:
Amount of dry ingredients = 5 quarts.
Amount of water in the mixture = 2 quarts.
Solution:
Let’s a represent the amount of dry ingredients.
Let b represent the amount of water
For first Batch
a/b = 5/2.
b = 2/5a ....... equation 1
For second Batch
a= 10
substitute a into equation 1 to solve for b
b = 2/5(10)
b = 4.
The ratio for batch b = 10/4.
Zahara needs to add 4 quarts of water to the mixture.
Answer:4 quarts!
Step-by-step explanation:
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y = -1x+4
Step-by-step explanation:
Hope this helps!
Giving brainliest!!
Find the inverse of function f.
f(x) = 1 - 1
OA ) = 7 - 1 1 2 2 2
OB. 1-1) = 7 - 21:
oc/) = 1 - 1
OD. (I) = 12 - 211
Answer:
Gah! Inverses!
Step-by-step explanation:
This is a pretty simple concept, just switch the x and f(x) values!
If you don't understand, look at how I solve it!
[tex]f(x)=\frac{1}{3} -\frac{1}{21} x[/tex]
Switching the positions of the x and f(x) values...
[tex]x=\frac{1}{3} -\frac{1}{21} f(x)^{-1}\\[/tex]
Note: That f(x)^-1 is the proper notation for inverse functions.
[tex]x-\frac{1}{3} =-\frac{1}{21} f(x)^{-1} \\f(x)^{-1}=-21x+7[/tex]
There you go!
Hope this helps, and don't procrastinate!
HELP I HAVE TEN MINUTES!!!!!
Answer:
B
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A store buys a camera for $80 and decides to markup the price 35%. How much does the camera sell for?
Step-by-step explanation:
80$ is original price so 100%
markup by 35% make price 135%
crossmultiplication
ans=108
Based on the cost of the camera and the percentage markup, the selling price of the camera is $108.
The camera's selling price is 35% more than its cost price. That 35% is:
= 80 x 35%
= $28
The selling price of the camera is therefore:
= Cost of camera + Increase
= 80 + 28
= $108
In conclusion, the camera is being sold for $108.
Find out more at https://brainly.com/question/3837.
r/n + t=4v solve for r
Answer:
hi
Step-by-step explanation:
r=4vn-tn
Find the distance between A and B .
Answer:
2 and 6/10 or 2 and 3/5
Step-by-step explanation:
qazxwsdcerfvtbgynhumjilkop
Answer:
2 and 3/5 or 2 and 6/10
Step-by-step explanation:
Count the whole numbers and then count each line all the way till it reaches the whole number. If you can simplify then simplify both numbers by a number that goes in them both.
I m s o d u m b t h a t i c a n t e v e n d o 1 + 1 s o i n e e d h e l p
Answer:
1 + 1 = 2
Step-by-step explanation:
:)
Answer:
1 + 1 = 2
Hope it Helps
A color printer prints 28 pages in 8 minutes.
How many pages does it print per minute?
Answer:
use division
Step-by-step explanation:
this question is pretty simple, all you need to do is the opposite of multiplication, which is........division.
so divide 28 by 8 = 3.5
so it prints 3.5 (3 and a half) pages per minute.
Hi, I'm new can I get marked as brainlieser? It would be highly appreciated.
Hope my answer helps :)
hdhddhhskalsk bshshshs
Use substitution to show that 9+6(10-7x) is equivalent to 69-42x.
Answer:
hope this helps
Step-by-step explanation:
9+6(10-7x)
=9+60-42x
=69-42x
find the quadratic equation
List the angles of triangle WXY in order from smallest to largest.
Answer: W, Y, X (choice D)
=======================================================
Explanation:
The square angle marker means angle X is 90 degrees.
For any triangle, the three angles always add to 180
X+Y+W = 180
90+(2x+9)+(2x+1) = 180
4x+100 = 180
4x = 180-100
4x = 80
x = 80/4
x = 20
Use this x value to find the other angles
angle Y = 2x+9 = 2*20+9 = 49
angle W = 2x+1 = 2*20+1 = 41
As a check,
X+Y+W = 90+49+41 = 180
which confirms we have the right angles.
The last step is to sort the angles from smallest to largest
That would lead to W, Y, X which is choice D
The area of a circular garden is 121pi
square feet. How much fencing would
be needed to enclose the garden?
Answer:
22 pi ft
Step-by-step explanation:
We can use the area to find the radius
A = pi r^2
121 pi = pi r^2
Divide each side by pi
121 = r^2
Take the square root
sqrt(121) = sqrt(r^2)
11= r
Now we need to find the circumference
C = 2*pi*r
C = 2* pi *11
C = 22 pi ft
Answer:
1. Use area to find radius.
A = π r^2
121 π = π r^2
2. Divide each side by π.
121 = r^2
3. Take in the square root .
[tex]\sqrt{121} = \sqrt{r^{2} }[/tex]
11 = r
4. Find the circumference .
C = 2 × π × r
C = 2 × π × 11
C = 22 π ft
Peter says, "If you subtract 12 from my number and multiply the difference by −7, the result is −175." What is Peter's number
Answer:
37
Step-by-step explanation:
let’s say peter’s number is x
(x-12)(-7) = -175
-7x + 84 = -175
-7x = -259
x = 259/7
x = 37
Answer:
The number is 37.
Step-by-step explanation:
-175 ÷ -7 = 25
25 + 12 = 37
You have to work backwards from -175 by doing the reverse of what peter did to get the original number.
A total of 202 tickets were sold for a theatre showing. If child tickets cost $6 and adult tickets cost $10, how many tickets of each were sold if the theatre earned a total of $1708.
Answer:
167 adult tickets were sold
35 children tickets were sold
Step-by-step explanation:
Let the number of adult tickets be x
Let the number of children tickets be y
Total number of each ticket sold;
x + y = 202 equation 1
Total cost of the tickets
10x + 6y = 1708 equation 2
Let
x= 202 - y equation 3
Substitute 3 into 2
10(202 - y) + y = 1708
2020 - 10y + y = 1708
-9y = 1708 - 2020
-9y = -312
y= 35
Substitute y =35 into 1
x + 35 =202
x= 202 - 35
x= 167
Therefore;
167 adult tickets were sold
35 children tickets were sold