A bag weighing 80 N rests on a horizontal surface. The coefficient of static friction between the bag and the surface is 0.4, and the coefficient of kinetic friction is 0.2. What minimum horizontal force must be applied to keep the bag moving at constant velocity once it has started to move?
Answer:
The minimum horizontal force that must be applied to keep the bag moving at constant velocity once it has started to move is 16 newtons.
Step-by-step explanation:
According to the First and Second Newton's Laws, an object has net force of zero when it is at rest or moves at constant velocity. Given that bag rests on a horizontal surface, the equation of equilibrium is:
[tex]\Sigma F = P - f = 0[/tex] (Eq. 1)
Where:
[tex]P[/tex] - Horizontal force exerted on the bag, measured in newtons.
[tex]f[/tex] - Kinetic friction force, mesured in newtons.
From (Eq. 1), we get that horizontal force is:
[tex]P = f[/tex]
On the case of a horizontal surface, normal force exerted from ground on the bag and kinetic friction force is:
[tex]f = \mu_{k}\cdot W[/tex] (Eq. 2)
Where:
[tex]\mu_{k}[/tex] - Kinetic coefficient of friction, dimensionless.
[tex]W[/tex] - Weight of the bag, measured in newtons.
Then we eliminate kinetic friction force by equalizing (Eqs. 1, 2):
[tex]P = \mu_{k}\cdot W[/tex]
If we know that [tex]\mu_{k} = 0.2[/tex] and [tex]W = 80\,N[/tex], then the horizontal force that must be applied to is:
[tex]P =0.2\cdot (80\,N)[/tex]
[tex]P = 16\,N[/tex]
The minimum horizontal force that must be applied to keep the bag moving at constant velocity once it has started to move is 16 newtons.
what makes -1.3 a non integer
Answer:
Decimal and fractions numbers are non-integers
Step-by-step explanation:
The answer is the third choice because integers are whole numbers that can be positive, negative, or zero. -1.3, however, is not a whole number, so it is not an integer. The reason is the third choice as decimals and fractions are not integers. Hope it helps!
A package of candy contains 8 mini candy bars. The cost of the package is $2. What is the unit price?
Answer:
16 8 * 2 = 16 <3
Step-by-step explanation:
Mr. Lowell has one of the most impressive antique toy collections in the United States, and he plans to distribute all 34,083 toys in his collection evenly to 21 different museums. How many toys will each museum get?
Find two consecutive integers whose sum is eleven less than three times the smaller integer.
Answer:
12 and 13
Step-by-step explanation:
I need helpppp!???
What is the slope of the line???
Answer:
slope: -3/-4
Step-by-step explanation:
theres the answer
Answer:
3/4
Step-by-step explanation: you start at the point (0,-1) and rise 3 and run 4 to get to the point (4,2)
Ryan shaded 70 squares on his hundredths grid. Sarah shaded 80 squares on her hundredths grid Part A Which value is greater than Ryan's decimal and less than Sarah's decimal A.70/100+4/100 B. 60/100+5/100 C. 80/100 D. 80/100+15/100
Answer:
A
Step-by-step explanation:
Here, we want to select which of the options is greater than Ryan’s decimal but less than Sarah’s
Ryan shades 70 out of 100 so his decimal will be 70/100 = 0.7
Sarah shades 80 out of 100, so his decimal will be 80/100 = 0.8
So we want a decimal greater than Ryan’s but less than Sarah’s
Let’s take a look at the options
The first option would be 70/100 = 0.7 + 4/100 = 0.7 + 0.04 = 0.74
We can see that this is greater than 0.7 but less than 0.8
So, this is our answer
=-09i8u9yh8guvyh bcnvjhulygtfrdsezawDFxcghjiuhygtfyhvbjkliouyggvbjhkio;uytfrderswaqwszedrtfyguhiiio
XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.
Answer:
29° and 58°
Step-by-step explanation:
Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus
∠ ZXY = ∠ WXY = 29°
∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is LaTeX: t=\frac{1}{500}dt=1500d. How long will it take the airplane to travel 800 miles?
Answer:
1.6hours
Step-by-step explanation:
We know that Speed= distance/ time
But from the question, An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d.
And the distance is given as 800 miles
Then, what we need is to substitute the given Distance into the equation of time.
t= 1/500d. Where d= 800 miles
t= (1/500) × 800 miles
t= 800 miles/500
t= 1.6hours
Hence, it will take the airplane to travel 800 miles , 1.6hours
Apply the Triangle Sum Theorem, and solve for x.
5x° (Angle G)
4xº(Angle H)
3xº(Angle J)
Answer:
15°
Step-by-step explanation:
5x°+4x°+3x°=180°
12x°=180°
X=(180/12)°
X=15°
Which ordered pair is in the solution y>=1/3x+4
A. (-6,1)
B. (1,-6)
C. (6,-1)
D. (-1,6)
Which inequality matches the graph shown?
Answer:
I am pretty sure it is x>8 which is B.
Step-by-step explanation:
To which subsets of numbers does 30/15 belong ?
30/15 = 2
Since 2 is a natural number, a whole number and an integer, so is 30/15.
a cubic block of ice has a volume of 1,331 inches how tall is the block
Answer:
The answer is 11. 11^3 is 1,331.
Step-by-step explanation:
NP
Steven sells bags of different kinds of cookies. He made $27 selling bags of Oreos, $18 selling chocolate chips cookies, and $45 selling chunky sugar cookies. Each bag of cookies costs the same amount. What is the most that Steven could charge for each bag of cookies?
Answer:
9 dollars
Step-by-step explanation:
It would be 9 dollars because that is the only common factor that could go into 27, 28, or 45.
Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours. If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?
Answer:
the answer is B because 2x3 is ainzqwndwqncjnjqanc2ejn2qncb
Step-by-step explanation:
400 per hour was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.
Given that,
Tina kept track of the calories she expended while riding her bike. After x hours, the graph displays Tina's calories burned, y.
We have to find what was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.
What is a graph?
A graph is a visual representation or diagram that displays facts or values in an organized manner in mathematics. The relationships between two or more objects are often shown by the points on a graph.
Therefore, 400 per hour was Tina's average calorie burn per hour between hours 0 and 3 if she rode her bike at a steady speed for the first three hours.
To learn more about hours visit: https://brainly.com/question/13533620
#SPJ2
you are listening to a playlist that has three hip hop songs 2 rock songs if they are a 15 more songs on this playlist and the ratio of hip hop song or rock song stayed the same how many of each type would be on this playlist
What is the answer??
Answer:
A
Step-by-step explanation:
Calculate the reciprocal of -0.013, correct to 1 decimal
Answer:
Step-by-step explanation:
-0.013 = [tex]\frac{-13}{1000}[/tex]
Reciprocal = [tex]\frac{-1000}{13} =-76.9[/tex]
The length of a rectangle is 11 less than 9 times the width. The perimeter of the rectangle is 18 inches
Length = 7 Width = 2
Step-by-step explanation:
L = Length
W = Width
L=9w-11
2L+2W=18
2(9W-11) + 2W = 18
18W - 22 +2W = 18
20W -22 = 18
20W = 40
W = 2
L = 9(2)-11
L=18-11
L=7
can anybody help me know the Pythagorean theorem
Answer:
[tex]8^{2} +U^{2} =17^{2}[/tex]
solve the squared numbers
[tex]8^{2} =64[/tex]
[tex]17^{2} =225[/tex]
[tex]64+U^{2} =225[/tex]
subtract 64 from 289
[tex]U^{2} =225[/tex]
square root 225
[tex]U=[/tex][tex]\sqrt{225}[/tex]
simplify that
[tex]U=[/tex][tex]\sqrt{15^2}[/tex]
[tex]U= 15[/tex]
What is true about segment R S and T U, if Point T has coordinates four, negative five. and U has coordinates (9, 2)?
Answer:
d
Step-by-step explanation:
4. What is the solution of the proportion 3 16 = 9 y ?
answer:
5.33333333333
m= 4/5 - 2/5
————- = ?
-1 - -2
Answer:
2/5 = 4/5 - 2/5 = m
HURRY PLEASE!! I’ll mark you as brainliest
Which graph shape would represent the connected
points in Celeste's function table?
A. A straight line that slopes up from left to right
B. A straight line that slips down from left to right
C. A symmetrical V shape that opens down
D. A symmetrical face shape that opens up
Answer:
I believe the answer would be A
Step-by-step explanation:
There is no possible slope being involved so B, C, or D couldn't be the answer.
Answer:
A. A straight line that slopes from left to right.
Step-by-step explanation:
y = mx + b
Claire and Richard are both artists. Claire uses the polynomial 50x^2+250 to decide how much to charge.Richard uses the polynomial 49x^2+350 to charge how much to charge for his painting.In each polynomial x is the height of the paintings feet. To the nearest tenth what height will both Claire and Richard charge for the same amount for a painting?
Answer:
The height of the painting has to be 10 feet for both Claire and Richard to charge the same amount.
Step-by-step explanation:
The polynomial expression representing the charge for Claire's paintings is:
C = 50x² + 250
The polynomial expression representing the charge for Richard's paintings is:
R = 49x² + 350
Here x represents the height of the paintings feet.
Now compute the value of x such that both Claire and Richard charge the same amount as follows:
C = R
50x² + 250 = 49x² + 350
50x² - 49x² = 350 - 250
x² = 100
x = 100
Thus, the height of the painting has to be 10 feet for both Claire and Richard to charge the same amount.
Can someone help me with this? Multiply (3.1•10^5)(1.8•10^2)
Answer:
5.58 x 10^7
Step-by-step explanation:
Neuma has a container that held 9/54 of a kilogram of rainbow sprinkles she divided the sprinkles Evenly to put on top of the 9 servings of ice cream that she was making for her friends at the sleepover.To determine the weight of each serving neuma performed the calculations below she concluded that each serving weighs 1/6 of a kilogram. What is Neumas error?
Answer:
c. neuma should have only divided 9 by 9, not 54 by 9.
Step-by-step explanation:
Neuma had a container that held 9/54 of a kilogram of rainbow sprinkles. she divided the sprinkles evenly to put on top of the 9 servings of ice cream that she was making for her friends at the sleepover. to determine the weight of each serving, neuma performed the calculations below. she concluded that each serving weighs 1/6 of a kilogram. what is neuma’s error?
a. neuma should have multiplied by 54, not divided.
b. neuma should have multiplied by 9, not divided.
c. neuma should have only divided 9 by 9, not 54 by 9.
d. neuma should have only divided 54 by 9, not 9 by 9
Neuma's calculation
9/54
= 1/6
Kilogram of rainbow sprinkles = 9/54
Ice cream servings = 9
Correct calculation
Weight of each servings = total weight / number of servings
= 9 / 54 ÷ 9
= 9 / 54 × 1 / 9
= 1 / 54
Each servings = 1/54 kilogram
c. neuma should have only divided 9 by 9, not 54 by 9.
Answer:
c
Neuma should have only divided 9 by 9, not 54 by 9.
Find the volume of this object. Use 3 for pi. (CAN ANYONE HeLP:))
Step-by-step explanation:
sorry for the rough handwriting but that's that
not really an academic subject lol just a stoopid inquiry
.
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does anyone else stay up super late even if they're tired? like you haven't "completed" your day yet. just me?... TT_TT pls help
(my sleep schedule is very messed up) :,)
Answer:
Yes me too! Except I watch movies because I have a feeling they won't be there tomorrow lol
Step-by-step explanation: