a mass of 25kg on a ramp at an angle of inclination 30 degrees to the horizontal, is oulled with a force of 75 kg an angle of 20 degrees to the ramp what is the frictional force if it is pulled up the ramp at constant speed
Answers
Decompose the forces into components that are parallel or perpendicular to the plane. Then the fricitional force (magnitude f ) is only included in the net force parallel to the surface. The other two are the parallel components of the box's weight (mag. w ) and the pulling force (mag. p)
The box is moving at constant speed, so there is no acceleration and the box is in equilibrium. By Newton's second law,
∑ F = p cos(20º) - w sin(30º) - f = 0
We're given p = 75 N, and
w = m g = (25 kg) (9.80 m/s²)
so
f = (75 N) cos(20º) - (25 kg) (9.80 m/s²) sin(30º)
f ≈ -52 N
That the magnitude is negative makes me think there's a mistake in the question.
Related Questions
Select all the statements that are true for the graph shown.
Submarines descent graph of a diagonal line on a coordinate plane going down and to the right with Time in seconds on the x-axis and Height above Sea Level in feet on the y-axis. The line begins at the origin and passes through point 4 comma negative 12.
The relationship is proportional.
The rate of change is −32
The rate of change is −83
The relationship is linear.
The equation of the line is y = –3x.
Answers
Answer:
The relationship is proportional.
The relationship is linear.
The equation of the line is y = –3x.
Step-by-step explanation:
The line in the question passes through origin and (4,-12).
The rate of change of the line is
[tex]m=\dfrac{-12-0}{4-0}\\\Rightarrow m=\dfrac{-12}{4}\\\Rightarrow m=-3[/tex]
The rate of change of the line or slope of the line is -3
Equation of the line is given by
[tex](y-0)=-3(x-0)\\\Rightarrow y=-3x[/tex]
This means that the relationship is linear.
If we take any value of x then there will be only one value of y this means that the relationship is proportional.
So the following statements are true
The relationship is proportional.
The relationship is linear.
The equation of the line is y = –3x.
Answer:
Step-by-step explanation:
Proportional
Linear
Equation of line is y=-3x
Chris is saving money for his ski trip. He has $62.50,
but his goal is to save at least $200. What is the least
amount Chris needs to save to reach his goal?
a. type the inequality that represents the situation below.
b. solve the inequality to the right.
Answers
A rectangle a photo with dimension 3 inches wide by 4 inches long is enlarged to a length of 12 inches what is the width of the enlarged print
Answers
What is 2s + 5 > 49 ?
Answers
Answer:
s>22
Step-by-step explanation:
2s>49−5
2s>44
s>44/2
s>22
Question 2 (1 point)
For problem 2 - 26, what is the slope of line C?
A
B
2-26.
D
+
E
8
10
2
a
m = 2
Ob
m = -2/3
c
m = 0
Answers
Answer:
Option e: 2/3 is the correct answer.
Step-by-step explanation:
The slope of a line is given by:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Two-points on line are needed to calculate slope of a line. In the attached diagram, two points are highlighted which are located on line C.
The two points are:
(x1,y1) = (9,4)
(x2,y2) = (3,0)
Putting the values in the formula
[tex]m = \frac{0-4}{3-9}\\=\frac{-4}{-6}\\=\frac{2}{3}[/tex]
The slope of line C is: 2/3
Hence,
Option e: 2/3 is the correct answer.
PLZ HURRY IT'S URGENT!!
Which equation matches the scenario?
Maggie has $15 to spend. Pinball games cost $0.75 per play and skee-ball games cost $1.25 per play.
Question 4 options:
A. 15x+0.75y≤1.25
B. 0.75x+1.25y≤15
C. (0.75+1.25)x<15
D. 0.75x+1.25y≥15
Answers
Answer:
B. 0.75x + 1.25y [tex]\leq[/tex] 15
what is the equivalent fraction of 4/8
Answers
Answer:
2/4
Step-by-step explanation:
2/4 × 2= 4/8 hsuddhskshvshiseu
1/2 or 2/4
4÷8=1/2
4÷2/8÷2=2/4
The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.
Rule C gives the monthly cost, in dollars, of using gigabytes of data on Company C’s plan. Rule D gives the monthly cost, in dollars, of using gigabytes of data on Company D’s plan.
A. Which is less, C(4)or D(4)? What does this mean for the two phone plans?
B. Which is less, C(5)or D(5)? Explain how you know.
Answers
ANSWER-
C(g) = 10 + 15g
C'(g) = 80
The monthly charges of Company C for using 2 Gigabyte of data usage.
Step-by-step explanation:
The cell phone plan from Company C costs $10 per month, plus $15 per gigabyte for data used. The plan from Company D costs $80 per month, with unlimited data.
Now, the monthly cost in Company C for using g gigabyte of data will be
C(g) = 10 + 15g ........ (1)
Again, the monthly cost in Company D for using g gigabyte of data will be
C'(g) = 80 ......... (2)
Now, from equation (1), the statement C(2) = 10 + 15 × 2 = 40, means that monthly charges of Company C for using 2 Gigabyte of data usage. (Answer)
Marty swans 36 yards in 42 seconds. If he continues to swim at the same rate, how long will it take him to swim 500 yards
Answers
George bought 2.5 pounds of each type of fruit shown on the sign what was the total cost of the fruit he bought
Answers
Answer:
it would be $2
Step-by-step explanation:
Try These questions out and I’ll give you brainliest My friends
Answers
Answer:
question 10 is B
Step-by-step explanation:
In a survey of 3,500 people who owned a certain type of car, 1,925 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
I need this by tonight so please help!
Answers
Answer:
55%
Step-by-step explanation:
to find percentage you divide the no of people who were satisfied by the car by the no of people who bought the car then multiply by a hundred
thus 1925÷3500×100
2 6/7 ×3 1/4 idk what that answer is
Answers
Answer: The answer should be 9 2/7 I suppose.
The price of a TV after a 20% discount is $620, what was the price before the discount?
Answers
Answer:
The original prince is: $775
Step-by-step explanation:
As the discount is 20%.As we know that
100% - 20% = 80% = 80/100 = 0.8The price after 20% discount = Discounted price = $620
We have to find the original price before the discount.
using the formula
(Discounted price) = (100 percent - discount percent) x (original price)
$620 = (100% - 20%) x (original price)
$620 = (80%) x (original price)
$620 = (80/100) x (original price)
$620 = (0.8) x (original price)
so
original price = $620/0.8
= $775
Therefore, the original prince is: $775
PLEASEE HELPP WILL BRAINLIST why would the average rate of the change be equal to zero from x = -2 to x = 6?
Answers
Answer:
x=5
Step-by-step explanation:
I was working on this problem also.
Maybe my version will help, too.
You need to sketch f given the information you have.
f'(x) is approximately a a cubic polynomial which means f will look like a quartic (think W)
f slopes down (negative slope) to x=2 and then slopes down again...this is a horizontal tangent.
f then slopes down to to x=5 where is has a minimum and then slopes up.
if im not wrong
Which table represents a linear function?
Please help?
Answers
Answer:
I think its the fourth one sorry if I am wrong
Step-by-step explanation:
Round the answer to the nearest hundredth.
√123.3 = __
Answers
Answer:
11.10
Step-by-step explanation:
√123.3 = 11.10405
Round.
11.10405 → 11.10
Best of Luck!
The sum of three numbers is 14. The largest number is 4 times the smallest number. The sum of the smallest and twice the largest is 18. What are all three numbers?
Answers
Answer:
a = 2, b = 4, c = 8
Step-by-step explanation:
Let:
First (smallest) number = a
Second number = b
Third number(Largest) = c
The sum of three numbers is 14.
a + b + c = 14...... Equation 1
The largest number is 4 times the smallest number.
c = 4a.... Equation 2
The sum of the smallest and twice the largest is 18.
a + 2c = 18........ Equation 3
We substitute Equation 2 in Equation 3
to solve for a
a + 2(4a) = 18
a + 8a = 18
9a = 18
a = 18/9
a = 2
Hence, the smallest number = 2
We find c
c = 4a.... Equation 2
c = 4(2)
c = 8
The largest number is 8
We find b
a + b + c = 14...... Equation 1
2 + b + 8 = 14
b + 10 = 14
b = 14 - 10
b = 4
What are all three numbers?
a = 2, b = 4, c = 8
given that a=2 and b=3, what is (ab)^2
Answers
Answer:
(ab)² = 36
Step-by-step explanation:
Plug in 2 for a and 3 for b:
(2·3)²
Multiply 2 and 3:
6²
Square the number:
36
(a x b)²
We know that a is 2 and that b is 3, so we substitute these into the expression:
(2 x 3)²
Then because of the Order of Operations we multiply INSIDE the brackets first:
(6)²
And when we square (²) a number we are simply multiplying it by itself:
(6)² = 6 x 6
So our final answer is:
6 x 6 = 36
If y varies jointly as x and z and inversely as the square of w, and y = 3 when x = 3, Z = 10, and w = 2, then y = 4 when x = 4, z = 20, and w= 4.
True or False ?
Answers
Answer:
True ; it is true
Step-by-step explanation:
The statement that y = 4 when x = 4, z = 20, and w= 4 is not true because the constant of proportionality is not equals to 2 / 5.
What is variation?Variation describes a simple relationship between two variables.
Therefore, y varies jointly as x and z and inversely as the square of w
y ∝ xz ∝ 1 / w²
Therefore,
y = kxz / w²
where
k = constant of proportionality
Hence,
y = 3
x = 3
z = 10
w = 2
yw² / xz = k
k = 3 × 2² / 3 × 10
k = 12 / 30
k = 6 / 15 = 2 / 5
Therefore, let's test for y = 4 when x = 4, z = 20, and w= 4.
k = 4 × 4² / 4 × 20
k = 64 / 80
k = 16 / 20 = 4 / 5
learn more on variation here: https://brainly.com/question/17068737
#SPJ2
1. The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18. Calculate the Z score associated with 3 siblings. Your answer should be rounded to two decimal places, like 5.43 or 1.30.
2. The mean number of siblings for respondents in a survey is 3.76 with a standard deviation of 3.18. Using the standard normal table, calculate the proportion of respondents who had more than 2 siblings. Your answer should be rounded to two decimal places, like 0.43 or 0.30.
Answers
Answer:
-0.24 ; 0.71
Step-by-step explanation:
Given that :
Mean number of siblings (m) = 3.76
Standard deviation (s) = 3.18
Z score associated with 3 siblings
x = 3
Using the relation :
Zscore = (x - m) / s
Zscore = (3 - 3.76) / 3.18
Zscore = - 0.76 / 3.18
Zscore = −0.238993
Zscore = - 0.24
2.) proportion of respondents with more than 2 siblings
Using the z probability calculator :
X > 2
Obtain the standardized score :
Zscore = (x - m) / s
Zscore = (2 - 3.76) / 3.18
Zscore = - 1.76 / 3.18
Zscore = −0.5534591
Zscore = - 0.55
Using the z table :
P(Z ≥ - 0.55) = 1 - p(Z ≤ - 0.55) ; p(Z ≤ - 0.55) = 0.2912
1 - p(Z ≤ - 0.55) = 1 - 0.2912 = 0.7088 = 0.71
Explain to me in words how you would find the slope of this line and explain your answer
Answers
Answer: m=7/3
Step-by-step explanation:
the point were at (4,3)(1,-4)
m=y2-y1/ x2-x1
m= -4-3/ 1-4
m= -7/-3
m=7/3
Pls Answer this Right and Professionally I’m begging you I will mark a brainless too
Answers
Answer:
3. x=110 y=110 t=70
4. a=105 b=105 c=75 d=75 e=105 g=75 f=75
Step-by-step explanation:
Should be the answer to the 1st question. 110+70=180
I'll braintlist!!!
Find the value of each expression in lowest terms:
1/6 X 11/4
11/5 X 1/3
14/3 X 1/5
5/3 X 2/5
3/4 X 8/9
5/2 X 2/7
Answers
11/15
14/15
2/3
2/3
5/7
hope this helps!!!
What is the slope of the line that passes through 9,5 and 4,5
Answers
Answer:
0
Step-by-step explanation:
slope m = (y₂ - y₁) / (x₂ - x₁)
= (5 - 5) / (4 - 9)
= 0 / -5
= 0
Answer:
(5,0
Step-by-step explanation:
Select the more effective use of correlative conjunctions to join these sentences.
The manager of the supermarket will help the new employee. The assistant manager may help the employee, too.
A. Neither the manager of the supermarket nor the assistant manager may help the new employee.
B. Both the manager of the supermarket and the assistant manager may help the new employee.
hurry .
Answers
Answer:
b the answer
Step-by-step explanation:
Answer:
Answer is B
Step-by-step explanation:
can you plz give me more of an anser
Answers
Answer:
peepeepoopoo check
Step-by-step explanation:
PLEASE HELPP ILL MARK BRAINLIEST According to a personal study, the equation ý= 8.6067x +116.6567 models the average number of calories burned by
a 160 lb individual, where x is amount of time spent weight lifting, in minutes, given the individual started the workout with a 10-minute
jog.
According to this regression equation, what is the approximate calories burned for an individual who spent 30 minutes weight lifting?
about 258 calories
o about 375 calories
about 406 calories
about 452 calories
Answers
Answer:
if x: 10 y: 202 then...
x: 30 y: 374.858 burned calories.
therefore, 375 calories.
About 375 calories burned for an individual who spent 30 minutes weight lifting
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given,
ý= 8.6067x +116.6567 the average number of calories burned by
a 160 lb individual.
In the given equation x is amount of time spent weight lifting, in minutes, given the individual started the workout with a 10-minute jog.
We need to find the approximate calories burned for an individual who spent 30 minutes weight lifting
To find this we just need to put x value as 30
ý= 8.6067(30)+116.6567
y=258.201+116.6567
y=374.85
y=375
Hence, about 375 calories burned for an individual who spent 30 minutes weight lifting
To learn more on slope intercept form click:
https://brainly.com/question/9682526
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Write the Point Slope Form of the line of slope 5 and passing through the point (1, -1)
Answers
Answer: y+1 = 5(x-1)
Step-by-step explanation:
Please help needs to be rounded to the nearest hundredth
Answers
Answer: 0
Step-by-step explanation:
11 + 11= 22
22 is rounded to the nearest hundredth, which is not 100, so its 0