Suppose an empty flatbed railroad car sits on a track as shown below, with a person pulling on a rope with a force of 310 Newtons in a direction of θ=25∘. Since the railroad car can't move in the direction that the person is pulling, not all of the force he is exerting works to move the car down the track. How much force is the person exerting toward the right (the force that would go towards trying to move the car)? Newtons The first person wasn't able to move the railroad car. Suppose a second rope is attached as shown below, and someone pulls on the rope in the direction β=18∘ south of east. If it takes 620 N to get the railroad car moving (even if only slightly), how much force must the second person exert in the given direction to get the railroad car to move? _ Newtons

Answers

Answer 1

Force is a vector quantity, and a force can be resolved into its components to get the effect of the force.

The responses are;

a) The force exerted by the first person towards the right is approximately 280.96 Newtons.b) To move the railroad car, the second person must exert a force of approximately 356.49 Newtons.

Reasons:

a) The force with which the person is pulling the railroad car, F = 310 N

The vector force on the rope [tex]\vec {v}_{rope}[/tex] = 310 × cos(25°)·i + 310 × sin(25°)·j

Which gives;

[tex]\vec {v}_{rope}[/tex] = 280.96·i + 131.01·j

The component of the vector acting along the railroad, towards the right is the i component

Therefore, the force the person exerts toward the right while trying to move the car is approximately

280.96 Newtons

b) The direction of the rope of the second person, θ = 18°

The force required to get the railroad car moving = 620 N

The force the second person has to exert to the right is therefore;

F × cos(18°) = 620 - 310 × cos(25°)

Therefore;

[tex]\displaystyle F = \mathbf{\frac{620 - 310 \times cos(25^{\circ})}{ cos(18^{\circ})}} \approx 356.49[/tex]

The force the second person must exert in the given direction, is therefore;

F ≈ 356.49 Newtons

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Related Questions

If a fraction is equal to 2/9
and the sum of the numerator and denominator is 99, what is the fraction?

Answers

Answer:

18/81

Step-by-step explanation:

the current fraction adds up to 11 so to get 99 you would need to multiply both the numerator and the denominator by 9 to get a sum of 99

so 2 x 9 = 18 and 9 x 9 =81

so answer is 18/81

6. Alice is covering a foam cube with fabric to make a footstool. Each side of the cube is 20 inches. How
many square inches of fabric will she need?
120 in? of fabric
0 720 in.of fabric
1,200 in? of fabric
2,400 in 2 of fabric

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You're looking for total surface area: area of each side is 20 times 20=400 square inches. There are 6 sides on a cube: 400 square inches times 6 = 2400 square inches

Find the area of the shaded region

Answers

Answer:

A = 35cm^2

Hope this helps :)

Write a fraction and a percent to represent the shaded portion of the model.
Fraction:
Percent:

Answers

Answer:

Fraction:[tex]\frac{5}{9}[/tex]

Percent: to the nearest percent 56% or 55.5555555556%

Step-by-step explanation:

There are nine total parts and 5 of those parts are shaded

You would divide 5 by 9 to get the percent then multiply it by 100

Answer:

5/9

45%

Step-by-step explanation:

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Answer:

Step-by-step explanation:

The researcher did no prediction or any (possible)

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You have 42 peaches and want to share them equally with 6 people. How many peaches will each person get? Please be sure to write your answer in a complete sentence.

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Answer:

Step-by-step explanation:

I did the math on a calculator

what is the value of. view image

Answers

The answer of this question is 1

someone answer this please

Answers

Answer:

b = 33m is the answer

Step-by-step explanation:

a = 44m

b = ?

c = 55m

According to the Pythagoras theorem,

a² + b² = c²

44² + b² = 55²

1936 + b² = 3025

b² = 3025 - 1936

b² = 1089

b = 33m

∴ b = 33m is the length of the missing leg.

A private lake sells boating memberships and currently has 600 members. During the application process the potential members are asked which recreational activity they do the most. Their choices are fishing, skiing, boarding, swimming, or tubing. The lake manager chooses clients according to their interests to maximize the use of all areas of the lake. Every month, the lake rangers randomly sample the boats on the lake and categorize them according to the activity they are doing. The lake manager performs a chi-square goodness-of-fit test using the following null hypothesis to see whether their samples differ significantly from what the original applications claim.
H0:pfish=0.26,pski=0.21,pboard=0.30,pswim=0.12,ptube=0.11
In order to meet the conditions for independence and large counts for a chi-square goodness-of-fit test, which of the following represents all possible sizes of the monthly samples?
a. n≥30
b. 30≤n≤50
c. 46≤n≤60
d. n≥46
e. n≤60

Answers

Answer:

46 ≤ n ≤ 60 ( C )

Step-by-step explanation:

using the given null hypothesis to check if the samples differ from originally values

given that: frequency ( f ) ≥ 5

N = 600

hence : n * 0.11 ≥ 5

therefore : n ≥ 45.45

next : also n / N ≤ 0. 10

therefore: n ≤ 0.1 * 600

therefore all possible sizes will lie between

46≤n≤60

how many dvds does gene have after 15 weeks?

Answers

Answer:

75 DVDs

Step-by-step explanation:

Unit rate: 1/5

1 week

5 dvds

15*5= 75

he has 75 dvds after 15 weeks :)

Jeff bought 7 pounds of chocolate
and spent $889. How much is one
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Answers

Answer:

127

Step-by-step explanation:

How many DVDs would they each have if they continued the same pattern for ten ADDITIONAL weeks.

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Answer:

Step-by-step explanation:

60 and 64 :)

Mopeds (small motorcycles with an engine capacity below 50 cm^3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with mean value 46.8 km/h and standard deviation 1.75 km/h. Consider randomly selecting a single such moped.

Required:
a. What is the probability that maximum speed is at most 49 km/h?
b. What is the probability that maximum speed is at least 48 km/h?
c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?

Answers

Answer:

a) 0.1038 = 10.38% probability that maximum speed is at most 49 km/h

b) 0.2451 = 24.51% probability that maximum speed is at least 48 km/h

c) 0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean value 46.8 km/h and standard deviation 1.75 km/h.

This means that [tex]\mu = 46.8, \sigma = 1.75[/tex]

a. What is the probability that maximum speed is at most 49 km/h?

This is the pvalue of Z when X = 49. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{49 - 46.8}{1.75}[/tex]

[tex]Z = 1.26[/tex]

[tex]Z = 1.26[/tex] has a pvalue of 0.8962

1 - 0.8962 = 0.1038

0.1038 = 10.38% probability that maximum speed is at most 49 km/h.

b. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{48 - 46.8}{1.75}[/tex]

[tex]Z = 0.69[/tex]

[tex]Z = 0.69[/tex] has a pvalue of 0.7549

1 - 0.7549 = 0.2451

0.2451 = 24.51% probability that maximum speed is at least 48 km/h.

c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?

Zscores between Z = -2.5 and Z = 2.5, which is the pvalue of Z = 2.5 subtracted by the pvalue of Z = -2.5

Z = 2.5 has a pvalue of 0.9938

Z = -2.5 has a pvalue of 0.0062

0.9938 - 0.0062 = 0.9876

0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations

Given that there are 5,280 feet in one mile, how many feet does this man
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Answers

Answer:

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Answers

Answer:

50 moons can fit inside Earth.

Step-by-step explanation:

The Volume of Earth is

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Step-by-step explanation:

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Answers

Answer:

we have

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2πr=12.4π

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Answer:

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Answers

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Step-by-step explanation:

To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.

A square is equal on all sides, so you would just square the measurement of the one side.

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What is the speed of a jet plane that flies 8100 km in 9 hours?

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C. 900 meters/sec

D. 900 km/hr/hr

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Answers

Answer:

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If f(x) = –3x – 2, what is f(–5)?

Answers

Answer:

f(-5) = 13

Step-by-step explanation:

Substitute x with -5

f(-5) = -3 (-5) - 2

=> 15 - 2

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Suppose you roll a special 33 sided die. What is the probability that the number rolled is a one or a two?

Answers

Answer:

2/33

Step-by-step explanation:

Chance of rolling a 1 is 1/33, chance of rolling a 2 is also 1/33. so add the probabilities 1/33 + 1/33 =2/33

since the great drought left the soil completely useless, the people of that country were forced to______ food from other countries
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C. report on
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Answers

the answer is b they had to import

Answer:

B import food from other countries

Jane earns $2100 per month, plus a 3.5% commission on sales. If she has $42,000 in sales for December, what is her total salary for the month?

Answers

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Step-by-step explanation:

42000x0.035=1470

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Identify the percent of increase from 25 to 65. (To the nearest tenth of a percent)

Answers

Answer:

160%

Step-by-step explanation:

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Answers

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A quadratic equation is written in the form of ax²+bx+c. The roots of the given quadratic equation are shown in options B and F.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

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Answers

Answer:

mean means average so I think i should have first add all the numbers then divide by the number of the numbers I think that's the method if you don't see it correct then it's alright but I believe it's correct.

What is the inverse of the function f(x) = 2x
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Answers

Y=2x-10 (write the equation in terms of y)

X=2y-10 ( rearrange to make it equal to x instead of y)

2y=x+10 (rearrange to make 2y the subject then divide by 2 to get y on its own)

Y= 1/2x+5 so it can be written as h(x) 1/2x+5

Hope this helped

The base of a square prism has an area of 16 sq inches. The height of the prism is 6 inches. What is the Surface are of the square prism?

Answers

Answer:

Step-by-step explanation: because you need to multiply 16 and 6 and when you multiply them you will get 96

The surface area of 128 square inches.

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The total surface area of a three-dimensional form is the sum of all the surfaces on each side.

Given the area of the base of the square prism is 16 inches. so each side of the base is 4 inches. and the height is given 6 inches.

hence, surface area of the given square prism = 2(area of base + 2 * area of one side)

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Find the length of MP

Answers

Answer:

5x-6 = 2x+9

3x = 15

x = 5

Then

MP=38

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