Two reindeer-in-training pull on a sleigh. Connie pulls with a force of 200 N at an angle of 20 degrees above the (positive) -axis, while Randolph pulls with a force of 800 N at an angle of 50 degrees ° below the positive) -axis. What is their resultant magnitude of the force on the sleigh?

Answers

Answer 1

Answer:

[tex]F_r \approx 978.3N[/tex]

[tex]\theta =44 \textdegree[/tex]

Explanation:

From the question we are told that

Connie pulls with a force of [tex]F_c=200 N[/tex]

At an angle [tex]\theta _c=20 \textdegree[/tex]

Randolph pulls with a force of [tex]F_R=800 N[/tex]

At an angle [tex]\theta _R=50 \textdegree[/tex]

Generally the horizontal axis  can mathematically be represented as

[tex]f_x=f_ccos\theta _c+F_Rcos\theta _R[/tex]

[tex]f_x=200*cos20+800*cos50[/tex]

[tex]f_x=702.2N[/tex]

Generally the vertical axis  can mathematically be represented as

[tex]f_y=f_csin\theta _c+F_Rsin\theta _R[/tex]

[tex]f_y=200*sin20+800*sin50[/tex]

[tex]f_y=681.24N[/tex]

Generally the resultant force [tex]F_r[/tex] is mathematically  given by

[tex]F_r=\sqrt{f_x^2+f_y^2}[/tex]

[tex]F_r=\sqrt{702.1686119^2+681.2395832^2}[/tex]

[tex]F_r=978.3230731N[/tex]

[tex]F_r \approx 978.3N[/tex]

Generally the Direction [tex]\theta[/tex] of force is mathematically given by

[tex]\theta =tan^-^1(\frac{f_c}{f_y})[/tex]

[tex]\theta =tan^-^1(\frac{681.23}{702.16})[/tex]

[tex]\theta =44 \textdegree[/tex]


Related Questions

How much GPE is stored when an 80kg astronaut climbs to the top of a 5m high lunar lander? The gravity strength on the moon is 1.6N/kg.

Answers

Answer:

The GPE, stored is 640 Joules

Explanation:

The given parameters are;

The given mass of the astronaut, m = 80 kg

The height of the top of the lunar lander to which the astronaut climbs, h = 5 m

The gravity strength on the moon, g = 1.6 N/kg

The Gravitational Potential Energy, GPE, stored is given according to the following equation;

GPE stored = m·g·h

Therefore, by substituting the known values, we have;

GPE Stored = 80 kg × 1.6 N/kg × 5 m = 640 Joules

The GPE, stored = 640 Joules.

Weight is the amount of matter in an object true or false

Answers

Answer:

False.

Explanation:

Mass is the amount of matter in a given object. Weight is the force acting on an object due to gravity.

Answer:

False

Explanation:

Weight is the act of pulling an object towards the earth surface so weight is a force to amount

What are the scientific principles of physical science

Answers

Answer:

Describing and measuring motion. Newton's laws of motion. Forces, weight, and mass. Momentum and conservation of momentum.

The theory of gravity.

Energy, work, and power. Motion, position, and energy.

Explanation:

Answer:

lOl can i have brainliest

Explanation:

a body accelerates uniformly from rest at 2m/s square. calculate it's velocity after traveling 9m.​

Answers

Answer:

6m/s

Explanation:

Given parameters:

Initial velocity  = 0m/s

Acceleration  = 2m/s²

Distance  = 9m

Unknown:

Final velocity = ?

Solution:

To solve this problem, we use the expression below:

         v²  = u²  + 2as

v is the final velocity

u is the initial velocity

a is the acceleration

s is the distance

        v²   = 0² + (2 x 2 x 9) = 36

        v  = 6m/s

What is a common criticism of both the Milgram experiment and the Stanford Prison experiment?

Answers

American citizens ;)

What is meant by net force?

Answers

Net force is the sum of all the forces that act upon anobject

Factor the expression 27x-18y

Answers

Answer:

9(3x-2y)

Explanation:

27x-18y, the common factor here is 9

9(3x-2y)

an electric lamp transfers 500j in 5s what is it’s power

Answers

Explanation:

An electric lamp transfers 500j in 5s

So in 1s = 500/5

= 100

So, it's strength is 100j/s

So, 100j in 1s

Eliza starts from a house and skateboards 10 meters towards the north, then turns back and skateboards 4 meters back to the south. What is Eliza 's displacement from the house?

Answers

Answer:

6m

Explanation:

If Eliza starts from a house and skateboards 10 meters towards the north, her distance will be +10m (moving towards positive y direction)

If she then turns back and skateboards 4 meters back to the south, her distance will be -4m (along the negative y direction)

The displacement from the house is 10m - 4m = 6m

Where on this diagram does the ball have the highest point of gravitational potential energy?

Answers

it should be at the very top since it has more space to fall which gives it more potential energy

how far will a body move in 4 seconds if uniformly accelerated from rest at the rate of 2m/s square​

Answers

Answer:

16m

Explanation:

Given parameters:

Time  = 4s

Initial velocity  = 0m/s

Acceleration  = 2m/s²

Unknown:

How far will the body move  = ?

Solution:

To solve this problem, we use the expression below:

  s  = ut  + [tex]\frac{1}{2}[/tex] at²  

s is the distance

u is the initial velocity

t is the time

a is the acceleration

 

   s  = (0 x 4) + ( [tex]\frac{1}{2}[/tex] x 2 x 4²)  = 16m

How does the energy in the light of the aurora borealis compare to the energy as an excited electron returns to its original energy level?

twice the energy

one-third of the energy

half of the energy

equal to

Answers

Answer:

I THINK IS HALF OF THE ENERGY

Explanation:

PLEASE MARK ME AS BRAINLIEST

Answer:

equal to

Explanation:

(Not for cheating,just for help)

How does the energy in the light of the aurora borealis compare to the energy as an excited electron returns to its original energy level?

twice the energy

one-third of the energy

equal to

half of the energy

What do these two changes have in common? your breath becoming visible on a cold day building a tower out of magnetic blocks

Answers

The cold is what they have in common

difference between MKS and CGS system pls give answer in box ​

Answers

Answer:

Explanation:

MKS stands for Meter, Kilogram and second. In this system of unit mass is given in Kilogram, length in meter and time in second. ... CGS system stands for Centimeter- Gram- Second system. In CGS system, length is measured in centimeters mass is measured in grams and time is in seconds.

Which element in the 18th column of the periodic table (shown below) has the largest radius?



He
Ar
Xe
Rn

Answers

Answer: Rn :)))) no explanation needed

what is the velocity ratio of n inclined plane? Write​

Answers

Answer:

Answer is on the pic

Explanation:

I hope it's helpful!

The person protected by insurance policy

Answers

Answer:

Jake from state famr

Explanation:

Can someone pleaseeee help if you’re correct I’ll give u brainlist

Answers

Answer:

Explanation:

The corona virus Vaccine will have some side effects like soreness in injection area but this will only last for a couple of days. I believe the answer is that there is no long term affect.

Fred takes a personal assessment that tells him that he would be great in the Agriculture, Food, and Natural Resources career cluster. What did Fred most likely mark as interests?

A-the justice system, horticulture, raising animals
B-being outdoors, supporting arguments, fixing broken items
C-being outdoors, horticulture, raising animals
D-fixing broken items, researching topics, leadership skills

Answers

Answer:

yes it is C

Explanation:

*need help asap! on a timer* Please select the word from the list that best fits the definition
Simplified diagram that shows the movement of an object as a series of single points

Answers

Answer:

particle model

Explanation:

A particle model is a simplified version of a motion diagram in which the object in motion is replaced by a series of single points.

a
It do
While doing dishes, Zvi drops his
3.0x10 3kg platinum wedding band
into the dishwater, displacing a
volume of 1.40x107m3 of water,
what is the density of the platinum
band?
n
CSS c
sion
im
al
Select one:
a. 2.56x104 kg/m3
b. 1.0x104 kg/m3
Di
c. 0.5x104 kg/m3
IL
d. 2.14x104 kg/m3
IL:​

Answers

Answer:

d. 2.14 x 10⁻⁴ kg/m³

Explanation:

Density is defined as the mass of an object per unit volume occupied by that object. The formula of density is, therefore, given as follows:

[tex]\rho = \frac{m}{V}[/tex]

where,

ρ = density of platinum band = ?

m = mass of platinum band = 3 x 10³ kg

V = Volume displaced by Platinum band = 1.4 x 10⁷ m³

Therefore,

[tex]\rho = \frac{3\ x\ 10^{3}\ kg}{1.4\ x\ 10^{7}\ m^{3}}\\\\\rho = 2.14\ x\ 10^{-4}\ kg/m^{3}[/tex]

Hence, the correct option is:

d. 2.14 x 10⁻⁴ kg/m³

Unlike eukaryotes, prokaryotes do not have:

A. DNA
B. cytoplasm
C. cell walls
D. a membrane bound nucleus

Answers

D. a membrane bound nucleus , lmk if im right

D is the answer

Unlike eukaryotes, prokaryotes have no membrane-bound organelles. This means that they lack a nucleus, mitochondria, and other advanced cell structures

Mike was driving 30km/hr and slowed to 20km/hr in 10 seconds what is his acceleration? (number only)

Answers

Answer:

-0.28 m/s²

Explanation:

acceleration, a = (v - u)/t where u = initial velocity = 30 km/hr = 30 × 1000/3600 = 8.33 m/s and v = final velocity = 20 km/hr = 20 × 1000/3600 = 5.56 m/s and t = time = 10 s.

Substituting the values of the variables into the equation, we have

a = (v - u)/t

= (5.56 m/s - 8.33 m/s)/10 s

= -2.77 m/s ÷ 10 s

= -0.277 m/s²

≅ -0.28 m/s²

Final Exam
5 seconds after starting from rest, a car is moving at 45 m/s. What is the car's average acceleration?

Answers

Time= 5 sec

Initial velocity(u)= 0

Final velocity( v)=45 m\s

Accleration(a)=?

We have,

[tex]a = \frac{v - u}{t} [/tex]

[tex]a = \frac{45 - 0}{5} [/tex]

[tex]a = \frac{45}{5} [/tex]

a=9m\s

If I am in a Ferrari and I travelled for 3 hours at a speed of 270 km/h. How far did I travel?
Use the following formula:
distance velocity x time


a)810km

b)90km

c)810km/hr

Answers

it’s b sorry if it’s wrong

Because of inertia, it will be ____ to stop a larger object than a smaller object if they are both moving at the same speed.

Answers

Answer:

harder

heavier objects resist change more than lighter objects.

Harder
This is because larger objects have more mass and thus more inertia

Describe the speed of a planet as it revolves around the sun (hint Kepler's second law)

Answers

Kepler's Second Law Describes the Way an Object's Speed Varies along Its Orbit. A planet's orbital speed changes, depending on how far it is from the Sun. The closer a planet is to the Sun, the stronger the Sun's gravitational pull on it, and the faster the planet moves.

Why does a person in a freely falling elevator
feel weightless?

Answers

Answer:Earth-orbiting astronauts are weightless for the same reasons that riders of a free-falling amusement park ride or a free-falling elevator are weightless. They are weightless because there is no external contact force pushing or pulling upon their body. In each case, gravity is the only force acting upon their body.

Explanation:

Calculate the frequency (v) in Hertz (Hz) of a wave that has a wavelength of 4.71 meters.

Answers

Answer:

6.37 x 10⁷Hz

Explanation:

Given parameters:

Wavelength = 4.71m

Unknown:

Frequency  = ?

Solution:

To solve this problem, we use the expression below:

           V = F∧  

V is the velocity  = 3 x 10⁸m/s

F is the frequency

∧ is the wavelength

  3 x 10⁸  = F x 4.71

      F  = 63694267.52Hz = 6.37 x 10⁷Hz

           

Two identical books are placed on a bookshelf. Book number 1 is on a shelf one meter above the floor

Answers

Complete question is;

Two identical books are placed on a bookshelf. Book 1 is on a shelf one meter above the floor and Book 2 is on a shelf two meters above the floor.

Which statement best compares the potential energy of the books.

A) Book 2 has twice as much potential energy as Book 1

B) Book 1 has twice as much potential energy as book 2

Answer:

A: Book 2 has twice as much potential energy as Book 1

Explanation:

Formula for potential energy is;

P.E = mgh

Where;

m is mass

g is acceleration due to gravity

h is height

Now, they are identical books and thus will have the same mass while acceleration due to gravity remains constant.

For book 1 which is 1 metre above the floor;

P.E = mg × 1

P.E = mg

For book 2 which is 2 metres above the floor;

P.E = mg × 2

P.E = 2mg

We can see that potential energy for book 2 is twice that of book 1.

Thus,option A is correct.

Answer:

a

Explanation:

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