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.
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:
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
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
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?
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:
Which ordered pair is in the solution y>=1/3x+4
A. (-6,1)
B. (1,-6)
C. (6,-1)
D. (-1,6)
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.
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1. You decide to buy some new clothes. The subtotal comes to $123.79, but
you have a 15% off coupon. What is the total you will spend? *
Answer:
$105.22
Step-by-step explanation:
A speedboat, at full throttle, can go 65.0 miles in 1.5 hours. What is the average speed of the boat?
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.
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]
Could someone show me how to do this?
Step-by-step explanation:
b - no:of students on bus
V - " " on van
so the eqtn is
12v+10b=698
14v+2b=244
so when you solve these two eqtns you get
V=9
b=59
Multiply. Enter the product in simplest form.
2/7 x 4/5
What is the answer??
Answer:
A
Step-by-step explanation:
0.05 is 1/10 value of what number
Answer:
1/2=x
0.5
Step-by-step explanation:
x will be the number
5/100=(1/10)x
5/10=x
1/2=x
1/2=0.5
Simplifying Expressions ,
Solve: 4 − 2(2x − 7) = −6.
A) −6
B) −5
C) −3
D) 6
Answer:
x = 6
Step-by-step explanation:
4 − 2(2x − 7) = −6.
Distribute
4 -4x +14 = -6
Combine like terms
18-4x = -6
Subtract 18 from each side
18 -4x-18 = -6-18
-4x = -24
Divide each side by -4
-4x/-4 = -24/-4
x = 6
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 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]
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
Given m 1= 65, find the measure of each missing angle.Givd your reasoning
Answer:
Step-by-step explanation:
Given:
m∠1 = 65°
Since. ∠1 and ∠2 are the angles of linear pair,
m∠1 + m∠2 = 180°
65° + m∠2 = 180°
m∠2 = 115°
m∠1 = m∠3 [Vertical angles]
m∠3 = 115°
Since, ∠1 and ∠4 is the linear pair of angles,
m∠1 + m∠4 = 180°
65° + m∠4 = 180°
m∠4 = 180 - 65 = 115°
m∠4 + m∠5 = 180° [Consecutive interior angles between the parallel lines]
115° + m∠5 = 180°
m∠5 = 180° - 115° = 65°
m∠5 + m∠6 = 180° [Linear pair of angles]
65° + m∠6 = 180°
m∠6 = 115°
m∠5 = m∠7 [Vertical angles]
m∠5 = m∠7 = 65°
m∠6 = m∠8 [Vertical angles]
m∠6 = m∠8 = 115°
Which inequality matches the graph shown?
Answer:
I am pretty sure it is x>8 which is B.
Step-by-step explanation:
What is the remainder when 69,694 is divided by 93?
Answer:
37
hope this helps :3
37 is the remainder when 69,694 is divided by 93
What is Division?A division is a process of splitting a specific amount into equal parts.
We have to find the remainder when 69,694 is divided by 93
The number which is getting divided here is called the dividend.
69694 is dividend
The number which divides a given number is the divisor.
93 is the divisor.
the number which we get as a result is known as the quotient.
The divisor which does not divide a number completely produces a number, which is referred to as remainder.
69694 can be written as (69657+37)
69657 is divisible completely by 93 and the remainder is 37.
Hence, 37 is the remainder when 69,694 is divided by 93
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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:
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.
Solve proportion 2/4.5=t/0.5
0.2 or 2/9 in fraction form I believe.
4. What is the solution of the proportion 3 16 = 9 y ?
answer:
5.33333333333
This would really help if you answered. I'll set it to a pretty decent amount of points
Answer: Not always the same
Step-by-step explanation:because as its shown every amountof tuna is not the same.
Answer: the price is not always the same/9 pounds
Step-by-step explanation: the price goes up by 10 then by 8 next it will be 6
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°