Two reindeer-in-training pull on a sleigh. Connie pulls with a force of 200

Nat an angle of 60 degrees above the x-axis, while Randolph pulls with a

force of 800 N at an angle of 60 degrees below the x-axis. What is their

resultant force on the sleigh?

Answers

Answer 1

Answer:

Their resultant force magnitude on the sleigh is approximately 583.095 N

Explanation:

The given parameters are;

The magnitude and direction in which the two reindeer-in-training pull on the sleigh are;

The force with which Connie pulls on the sleigh, F₁ = 200 N

The direction in which Connie pulls on the sleigh = 60° above the x-axis

The force with which Randolph pulls on the sleigh, F₂ = 800 N

The direction in which Connie pulls on the sleigh = 60° below the x-axis

The vector form of the force with which the two reindeer-in-training pulls the sleigh is given as follows;

[tex]\underset{F_1}{\rightarrow}[/tex] = 200 × cos(60°)·i + 200 × sin(60°)·j = 100·i + (100·√3)·j

[tex]\underset{F_2}{\rightarrow}[/tex] = 800 × cos(60°)·i - 800 × sin(60°)·j = 400·i - (400·√3)·j

The resultant force, R = [tex]\underset{F_1}{\rightarrow}[/tex] + [tex]\underset{F_2}{\rightarrow}[/tex]

∴ R = 100·i + (100·√3)·j + 400·i - (400·√3)·j = 500·i - (300·√3)·j

Their resultant force magnitude on the sleigh, [tex]\left | R \right |[/tex] = √(500² + (-300)²) ≈ 583.095 N

The direction of the resultant force = arctan(-300/500) = arctan(-0.6) ≈ -30.964 which is approximately 30.964° below the x-axis.


Related Questions

Ifa truck starts from rest and it has acceleration of 4 m/s for 5 second
calculate its final velocity. What will be the distance travelled by the track
during the time interval?

Answers

Answer:

Distance 50m

final velocity 20ms^-1

[tex]s = ut + \frac{1}{2} a {t}^{2} \\ = 0 \times t + \frac{1}{2} \times 4 \times {5}^{2} = 50m[/tex]

[tex]v = u + at \\ v = 0 + 4 \times 5 \\ v = 20ms^{ - 1} [/tex]

Timed! i would really appreciate some help! will try to mark brainliest!!!
For her birthday, Samantha gets a new bike. She wants all her friends to see and so begins riding up and down her street. What is her speed if she goes 40.5m in 8.6s? *

4.71 m/s
4.71 h/m
47.1 h/m

Answers

Answer:

4.71m/s

Explanation:

Given parameters:

Distance covered  = 40.5m

Time taken  = 8.6s

Unknown:

Speed  = ?

Solution:

The speed of Samantha is the distance divided by the time taken.

 

  Speed  = [tex]\frac{Distance}{time}[/tex]  

 Now insert the parameters;

   Speed  = [tex]\frac{40.5}{8.6}[/tex]   = 4.71m/s

DEFINE SIGNIFICANT DIGITS.

Answers

Answer:

Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.

Explanation:

any of the digits of a number beginning with the digit farthest to the left that is not zero and ending with the last digit farthest to the right that is either not zero or that is a zero but is considered to be exact. — called also significant figure.

10.0 points
When you drop a 0.38 kg apple, Earth exerts
a force on it that accelerates it at 9.8 m/s’ to-
Ward the earth's surface. According to New-
ton's third law, the apple must
exert an equal but opposite force on earth. If the mass of the Earth is 5.98 x 10^24 kg, what is the magnitude of the Earth’s acceleration towards the apple? Answer in units or m/s^2

Answers

Answer:

6.2 ×10^-25

Explanation:

Ma = mg

a = (m/M)g

[tex]a = \frac{0.38}{5.98 \times {10}^{24} } \times 9.8 = 6.2 \times {10}^{ - 25} [/tex]

While swimming the elementary backstroke your eyes should be looking directly at..

Answers

Answer:

the ceiling

Explanation:

i dont know man but thats what my swimming instructor said, but i havent swam in like 3 years so ..

Your 1500kg car is stuck behind a truck traveling 27 m/s. To pass it, you speed up to 34 m/s in
6.0 s. What power is required to do this?

Answers

Answer:

P = 53375[W]

Explanation:

First, we must use the following equation of kinematics, which allows us to calculate the acceleration value.

[tex]v_{f}=v_{o}+a*t[/tex]

where:

Vf = final velocity = 34 [m/s]

Vo = initial velocity = 27 [m/s]

a = acceleration [m/s²]

t = time = 6 [s]

Now replacing:

[tex]34=27+a*6\\a=1.167[m/s^{2} ][/tex]

Now we must use Newton's second law, which tells us that the sum of forces is equal to the product of mass by acceleration. In this way, we have the following equation.

ΣF =m*a

where:

F = force [N]

m = mass = 1500 [kg]

a = acceleration = 1.167 [m/s²]

[tex]F=1500*1.167\\F=1750[N][/tex]

Power is defined as the product of force by speed. But we have two speeds, the initial and the final. We must use the average speed to be able to estimate the power needed.

[tex]V_{average}=\frac{34+27}{2} =30.5[m/s][/tex]

And the power:

[tex]P=F*V_{average}\\P=1750*30.5\\P=53375[W][/tex]

Which 2 statements correctly describes the theory of plate tectonics?

Answers

Answer:

B and D

Explanation:

If it has letters.

What is the difference between a mechanical wave and an electromagnetic wave?


A mechanical wave travels through empty space, while an electromagnetic wave travels through matter.

A mechanical wave has a short wavelength, while all electromagnetic waves have long wavelengths.

A mechanical wave has a high frequency, while all electromagnetic waves have low frequencies.

A mechanical wave travels through matter, while an electromagnetic wave travels through empty space.

its regular chooiseing just decide one and tell me

Answers

Answer: A  a mechanical wave travels through empty space, while an electromagnetic wave travels through matter.

Explanation: A mechanical wave travels through empty space, while an electromagnetic wave travels through matter. A mechanical wave has a short wavelength, while all electromagnetic waves have long wavelengths.

A car engine has power than a horse because a car engine does the same amount of work in time. Yasmin and Raj each had 10 boxes of equal weight to stack next to each other on the same shelf, at the same height and in the same arrangement. Yasmin completed the task in 2 minutes, while Raj took 3 minutes to stack his boxes. Raj applied power than Yasmin because his stacking took time to do the same amount of work.

Answers

Answer:

A car engine has more power than a horse because a car engine does the same amount of work in time. Yasmin and Raj each had 10 boxes of equal weight to stack next to each other on the same shelf, at the same height and in the same arrangement. Yasmin completed the task in 2 minutes, while Raj took 3 minutes to stack his boxes. Raj applied less power than Yasmin because his stacking took more time to do the same amount of work.

Explanation:

A car engine has more power than a horse because a car engine does the same amount of work in less time. Raj applied less power than Yasmin because his stacking took more time to do the same amount of work.

What is power?

The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

Energy divided by time represents the dimension of power. The watt (W), which equates to one joule per second, is the unit of power in the International System of Units (SI).

Another popular unit of measurement is horsepower (hp), which is equivalent to a horse's power; one mechanical horsepower is equal to around 745.7 watts.

Learn more about power here:

https://brainly.com/question/29575208

#SPJ5

Urgent Important!!

Many medications have a warning to avoid driving because.
A. they haven't been scientifically tested yet.
B. they have been proven to cause drowsiness.
C. they want to cover all their bases.

Answers

Answer:

B) they have been proven to cause drowsiness

Explanation:

B is the only answer that makes sense, as the other answers do not make sense.  All medications are scientifically tested before they can be used by someone.  Covering their bases would show negligence and is bad.

Hope this helps!

PS, this is biology or medical, not physics.

Which of the following is true about myelin?
It inhibits neural communication.
O It cannot be affected by illness.
It is covered by axons.
It's a fatty insulation.
It slows down neuronal operations.

Answers

Answer:

It's a fatty insulation.

Explanation:

"Myelin" is a fatty substance which insulates the axons of the nerve cells. Therefore, it covers the axons. This makes choice A correct and choice C incorrect.

This allows faster neural communication or hastens the transmission of signals between neurons. This makes choice A incorrect and choice E incorrect. It doesn't inhibit neural communication nor does it slow down neuronal operation; rather, it increases both speed.

Myelin can be affected by illness. An example of this is the disease called "Multiple Sclerosis," which targets the myelin sheath.

Question 4 of 20 :
Select the best answer for the question.
4. What do wire junctions on a schematic without a dot mean?
A. It's main circuit wiring.
B. The wires don't touch.
C. The wires are connected.
D. The schematic isn't finished.
Mark for review (Will be highlighted on the review page)
Moyt Ouestion >>

Answers

Answer:

b

Explanation:

Other Questions
Someone plz help me Consider this quadratic equation:2x2+12=0Comparing it to the standard form, name a, b, and ca=b= c= 3/8 4/11 =three eighths times four elevenths convert 17 kilometers to the nearest whole mile Drag the labels to the correct locations on the table. The labels can be used more than once, but not all labels will be used.Identify whether each exponential expression models growth or decay and what the rate is. a piece of cheese weighting 2/3 pound is to be divided into 8 equal portions. what will be the weight of each portion? Which function has a range of y20?tyTime(hours)1Temp.(F)-82{(5,0).(-3,4).(0,7).(11,-6)23-2O-4-22-2255No-2710 In what way is Model B better than Model A? Model B shows the types of elements in the compound, but Model A does not. Model B shows the three-dimensional shape of the molecule, but Model A does not. Model B shows how the atoms in the molecule are connected, but Model A does not. Model B shows the number of atoms of each element in the molecule, but Model A does not. Read the excerpt from The Secret GardenShe was in such a rage and felt so helpless before the girl's simple stare, and somehow she suddenly felt so horribly lonely and faraway from everything she understood and which understood her, that she threw herself face downward on the pillows and burst intopassionate sobbingWhich type of conflict is demonstrated in this excerpt?individual vs. selfindividual vs societyindividual vs natureindividual vsindividual The graph below shows the solution to which system of inequalities? Lance has 12 boxes of comic books. Each box has 40 comic books in it.How many comic books does Lance have? A company that makes hair-care products had 6,000 people try a new shampoo. Of the 6,000 people,36 had a mild allergic reaction. What percent of the people had a mild allergic reaction?% of the people had a mild allergic reaction, I need help with this problem! Please help I know it isn't 12 so please don't answer with 12. A firms accounting cost, defined as actual cash payments for inputs equals:Group of answer choicesthe firms implicit cost.the firms explicit cost.the firms economic cost.the sum of the costs listed above. Which one of these is NOT an example of intercellular communication?A. Electrical signals pass between heart cellsB. Chemical messengers doc on two receptors of adrenal glandC. A vessel and encloses over a nutrient moleculeD. Chemical signals from pituitary gland to adrenal gland Write an essay in which you explore the perceptions of government's purpose presented in the sources. In writing your essay, consider how the authors of the two written documents describe the ideal relationship between a government and its people, and how they describe the actual relationship between the government of Great Britain and the colonists. Remember to use evidence from the two sources to support your ideas. Sara wants to save 20% of the $150 she received for her birthday. How much money does Sara want to save? This map shows that the silk road_____?1- Crossed both african and asia2- was located primarily in asia3- followed a single route4- started in khotan In some dog breeds you can have straight, wavy, and curly hair. Curly hair is dominant to straight. If you mate a wavy haired female with a curly haired male, what is the probability of any of the puppies having straight hair?Question options:a) 100%b) 0%c) 25%d) 50%