A 10.0kg cart traveling East at 5.00 m/s collides with a 7.50kg cart traveling 3.00m/s at an angle of 55.0o. The two carts collide and stick together. What is the velocity of the cars after they stick together?
Answer:
The magnitude of the velocity of the cars after they stick is approximately 3.7 m/s
Step-by-step explanation:
The given parameters are;
The mass of the cart traveling East, m₁ = 10.0 kg
The speed of the cart traveling East v₁= 5.00 m/s
The mass of the cart traveling at an angle of 55° m₂= 7.50 kg
The speed of the cart traveling at an angle of 55°, v₂ = 3.00 m/s
The component of the velocities of the cart raveling at an angle are given as follows;
v = 3.00 × cos(55°)·i + 3.00 × sin(55°)·j
The total momentum before collision = m₁ × v₁ + m₂ × v₂ by substitution is therefore;
m₁ × v₁ + m₂ × v₂ = 10 × 5.00·i + 7.5 × (3.00 × cos(55°)·i + 3.00 × sin(55°)·j)
The total momentum after collision = (m₁ + m₂) × v₃
By the principle of the conservation of linear momentum, whereby the momentum is conserved, we have;
m₁ × v₁ + m₂ × v₂ = (m₁ + m₂) × v₃
10 × 5.00·i + 7.5 × (3.00 × cos(55°)·i + 3.00 × sin(55°)·j) = (10 + 7.5) × v₃
50.00·i + 12.91·i + 18.43·j = 17.5·v₃
62.91·i + 18.43·j = 17.5·v₃
∴ v₃ = (62.91·i + 18.43·j)/17.5 ≈ 3.59·i + 1.05·j
Therefore, the magnitude of the velocity of the cars after they stick = √(3.59² + 1.053²) ≈ 3.7
The magnitude of the velocity of the cars after they stick ≈ 3.7 m/s.
Please choose the correct answer, and recieve brainliest.
Along with Louisiana, Napoleon sought to reestablish French control over which other New World colony?
Question 1 options:
Saint-Domingue
Saint Lucia
Saint Marine
Saint Alamo
Answer:
Step-by-step explanation:
Even though you selected math as the category, I believe the answer is A, Saint-Domingue.
What is an equation in slope-intercept form for the line that passes through the points (1, -3) and (3, 1)?
O y = 3x + 1
O y = 2x - 5
O y = 2x + 5
O y = x - 3
HELP ASAP
Johnathan went shopping at HEB. He began to look at two different cereals below Sunshine Cornflakes: 24-ounce box for $4.32 Bright Start Cornflakes: 36-ounce box for $5.76 How much less does it cost per ounce?
Answer:
Step-by-step explanation:
Given that:
Johnathan looked at two different portions of cereals at the supermarket.
They are:
Sunshine Cornflakes: 24-ounce box for $4.32
Bright Start Cornflakes: 36-ounce box for $5.76
To calculate the cost of one ounce of Sunshine cornflakes, we have:
24-ounce box for $4.32
1 - ounce box will be x
x = ($4.32 × 1 ounce box) / 24 ounce box
x = $0.18
1 - ounce box will be = $0.18
To calculate the cost of one ounce of Bright star cornflakes, we have:
36-ounce box for $5.76
1 - ounce box will be = ( $5.76 × 1 ounce box) / 36 ounce box
1 - ounce box will be = $0.16
Since 1 - ounce box of Bright star cornflakes is lesser than 1 - ounce box of Sunshine Cornflakes.
Then, Bright star cornflakes costs ($0.18 - $0.16) = $0.02 per ounce box lesser than Sunshine Cornflakes.
Thus, Bright star cornflakes will be a better buy.
Find an equation in the form y=ax2+bx+c for the parabola passing through the points.(−3,61), (4,96), (2,16)
Answer:
9657
Step-by-step explanation:
Answer the Pre-Algebra problem attached to this.
Answer: x>5
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Answer: x is greater than 5
Step-by-step explanation:
9(2(5)-9)-5 greater than 4
9(10-9)-5 greater than 4
9-5 greater than 4
4 greater than 4
So x MUST be greater than 5
Karen grew a pumpkin that weighed 18.9 pounds for the competition at the
county fair. Nancy grew a pumpkin that weighed 19.9 pounds. Who grew the
largest pumpkin, Karen or Nancy?
A. Nancy
B. Karen
Answer:
Nancy
Step-by-step explanation:
Her pumpkin weighed more
which equation represents the cost,Y, for each friend to go bowling in terms of the number of games played,X?
Answer:
Answer is C
Step-by-step explanation:
If 2c - 5 = 3d + 4, what does c equal, in terms of d?
Answer:
D. [tex]\frac{3d+9}{2}[/tex]
Step-by-step explanation:
2c - 5 = 3d + 4
Isolate 2c.
2c = 3d + 4 + 5
Simplify.
2c = 3d + 9
(2c ÷ 2 = c) Find c.
c = [tex]\frac{3d+9}{2}[/tex]
Answer:
[tex]d. \: \frac{3d + 9}{2} [/tex]
Step-by-step explanation:
Follow the steps below.
[tex]2c - 5 = 3d + 4 \\ 2c = 3d + 9 \\ c = \frac{3}{2} d + \frac{9}{2} \: or \: c = \frac{3d + 9}{2} [/tex]
So D is correct.
A road rises vertically 4 feet for every 50 feet traveled horizontally. What is the rate of
change in vertical feet per horizontal foot as a car travels this road?
Answer:
4/50 or 2/25
Step-by-step explanation:
Slope/rate of change is defined as the vertical distance over horizontal. then simplify.
What is 2+2 pls help
Answer:
4
Step-by-step explanation:
2 + 2 += 4
This can be solved by addition.
George is at the shop and sees that 6 antiques cost $18. He needs 48 antiques to make a small museum. How much will 48 antiques cost?
pls dont fake it
Answer:
$144
Step-by-step explanation:
If 6 antiques cost 18 dollars, and 6 goes into 48 8 times, when you multiply 18 dollars by 8, you get 144 dollars
Write an equation of the line that passes me that passes through (2,-5) and is parrallel to the line 2y=3x+10
Step-by-step explanation:
parallel means same slope/gradient
2y = 3x + 10
y = 1.5x + 5
let equation be y = 1.5x + b
sub (2, -5)
-5 = 1.5(2) + b
b = -8
therefore y = 1.5x - 8
Topic: Coordinate Geometry
If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!
Question 2
If triangle ABC is congruent to triangle DEF, then which of the
following is true?
BC = DE
C = F
A = F
AB = EF
Answer:
i think b if im wrong
sorry]
iStep-by-step explanation:
first to answer gets brainleist
Answer:
I'm a genius
Step-by-step explanation:
-15/8 or -1.875
Jessie runs four days a week after school She
runs the same number of miles on Monday,
Wednesday, and Thursday, and 5 miles on Friday
If she runs a total of 29 miles each week, how
many miles does she run on Monday?
Can you put this in multi step equation form
Answer:
she runs 8 miles on Monday 8 miles on Wednesday 8 miles on Thursday and 5 miles on Friday
Step-by-step explanation:
8+8+8+5 = 29
pleaseee help
BRAINLIESt!!!!
Answer:
C y cause it was already there plus ik super late but hey sum points
Step-by-step explanation:
101 = -4 + 5(x + 2) STEP BY STEP EXPLANATION IN NUMBERS NOT WORDS PLEASE!
Answer:
PEMDAS
Step-by-step explanation:
(P)arenthesis
(E)xponents
(M)ultiplication
(D)ivision
(A)ddition
(S)ubtraction
101 = -4 + 5(x + 2)
101 = -4 + 5x + 25
101 = 21 + 5x
101 - 21 = 5x
80 = 5x
80/5x
x = 16
I hope that helps :)
someone help me with this question i have no idea what its asking
Answer:
Step-by-step explanation:
y = x
m = 1
b = 0
Table:
(- 2, - 2)
0 y = x , y = 0 0 (0 , 0)
2 y = x , y = 2 2 (2, 2)
4 y = x , y = 4 4 (4, 4)
A bank tellers’ hourly wage will increase from $24 to $27.60. What percent increase does this represent?
Answer:
15%
Step-by-step explanation:
Answer:
15%
Step-by-step explanation:
y+2=2(x-1) slove plz
Answer:
try y=2x+4
Step-by-step explanation:
hope it helps :)
Brainliest! Fast answer! Correct answer!
Answer:
It would be C i believe
Step-by-step explanation:
in a class of 30 students, there are 18 boys and 12 girls. What is the ratio of girls to boys?
Answer:
3:2
Step-by-step explanation
18:12, divide both by 6, 18/6=3, 12/6=2, ratio simplified is 3:2
Answer:
Step-by-step explanation:
12:18
2:3
PLZ ANSWER ASAP! ONLY IF YOU ARE CORRECT. I NEED HELP MATH EXPERTSSSS!
Answer:
Angles 7 and 8
Angles 4 and 3
Are consecutive interior angles.
Step-by-step explanation:
7) The triangles in the picture are congruent by which method?
Answer:
SAS
Step-by-step explanation:
The sides are indicated to be congruent from triangle to triangle.
The intersecting angle are equal. Therefore the triangle is congruent due to Side Angle Side
Which of the following math statements contain variable(s)? Check all that apply.
MULTIPLE CHOICE
A. 10 + 6 = x
B. 10 + ___ = 16
C. x + ___ = 16
D. 10 + 6 = 16
Answer:
The answer is
A. 10 + 6 = x
And
C. x + ___ = 16
Because variables are letters, for example 7x, X is the variable and 7 is the number. The variable can be any letters in the alphabet A-Z.
Eight workers took 2 1/4 days to dig half of a tunnel. If only two workers are going to finish the tunnel, how long will it take them?
Answer:
0.5625
Step-by-step explanation:
At a used book sale, 5 books cost $15. What is the cost per book?
Answer:
$3/book
Step-by-step explanation:
cost per book means divide the price of all the books by the number of books
$15/(5 books) = $3/book
What percent of 45 is 7?
show work please?
Answer:
3.15
Step-by-step explanation:
45% can be converted into 0.45 or 9/20. You either multiply 7 by 0.45 or 9/20 to get your answer.
Answer:
3.15 is correct
Step-by-step explanation:
The person above me has all the work needed
whats the answer to log x+2 (9x) = 2
Answer:
2/19
Step-by-step explanation:
x+2 (9x) = 2
x+18x=2
19x=2
19x/19=2/19
2/19
Answer:
x = 2/19
Step-by-step explanation:
Please mark brainliest