A box at rest is in a state of equilibrium half way up on a ramp. The ramp has an incline of 42° . What is the force of static friction acting on the box if box has a gravitational force of 112.1 N ?

70 N
80 N
75 N
85 N

Answers

Answer 1

Answer:

the correct answer  is 75 N

Explanation:

This is a translational balancing exercise, let's set a reference system with the x-axis in the direction of the plane and the y-axis perpendicular to the plane.

In this reference system the force to decompose is the weight

         sin 42 = Wₓ / W

        cos 42 = W_y / W

        Wₓ = W sin 42

        W_y = W cos 42

        Wₓ = 112.1 sin 42 = 75.0 N

        W_y = 112.1 cos 42 = 83.3 N

The expression for equilibrium on the x-axis is

         Wₓ - fr = 0

         fr = Wₓ

         fr = 75.0 N

the correct answer  is 75 N


Related Questions

Please help!!!!! I will give brainliest. Describe four examples of acceleration you see during your day. Choose an object that is slowing down, one that is speeding up, one that is moving at a constant speed but changing direction, and one that is moving at a constant velocity with zero acceleration.

Answers

When the brake is applied to the car and comes to rest after some time is an example of an object that is slowing down.

What is acceleration?

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

1. When the brake is applied to the body and comes to rest after some time is an example of an object that is slowing down.

2. When a person accelerates the car and the velocity is increasing is an example of speeding up.

3. An object moves in a circular motion moving at a constant speed but changing direction,

4. Acceleration is the rate of change of velocity. If the change in the velocity is constant the acceleration is zero is an example of moving at a constant velocity with zero acceleration.

To learn more about acceleration, refer to the link;

https://brainly.com/question/2437624

#SPJ1

An elevator of 3 × 10^4N is raised to a height of 100m in 20s . The work done by electric motor is equivalent to?​

Answers

Answer:

there it is fella tried on ma own observation

Which statement describes how chemical formulas, such as H20, represent compounds?

Answers

Answer:

They show the elements that make up a compound.

They show the three-dimensional shape of a molecule.

They show the types of atoms that make up a molecule.

They show the number of each type of atom in a molecule.

Explanation:

❣️(◍Jess bregoli◍)❣️

#keep learning!!

Two parallel circular rings of radius R have their centres in the X axis separated by a distance L. If each ring carries a uniformly distributed charge Q,find the electric field at points along the X axis

Answers

Answer:

E" =  Q/4πε₀√[(x² + R²)]³(x - (L - x)/√[(L - 2x)L/(x² + R²) + 1]³})

Explanation:

The electric field due to a charged ring of radius R at a distance x from the center of the ring when the axis of the ring is located on the x - axis is

E = Qx/4πε₀[√(x² + R²)]³

Since the rings are separated by a distance L, the electric field at point x due to the second ring is E' = -Q(L - x)/4πε₀[√((L - x)² + R²)]³. It is negative since it points in the negative x - direction.

So, the resultant electric field at x is E" = E + E' = Qx/4πε₀[√(x² + R²)]³ + {-Q(L - x)/4πε₀[√((L - x)² + R²)]³}

E" =  Qx/4πε₀√[(x² + R²)]³ - Q(L - x)/4πε₀√[((L - x)² + R²)]³

E" =  Q/4πε₀(x/√[(x² + R²)]³ - (L - x)/√[((L - x)² + R²)]³})

E" =  Q/4πε₀(x/√[(x² + R²)]³ - (L - x)/√[(L² - 2Lx + x² + R²)]³})

E" =  Q/4πε₀(x/√[(x² + R²)]³ - (L - x)/√[(L - 2x)L + (x² + R²)]³})

E" =  Q/4πε₀√[(x² + R²)]³(x - (L - x)/√[(L - 2x)L/(x² + R²) + 1]³})

So, the electric field at points along the x axis is

E" =  Q/4πε₀√[(x² + R²)]³(x - {(L - x)/√[(L - 2x)L/(x² + R²) + 1]³})

what is time write its SI unit​

Answers

The SI unit of time is second

The dependent variable measured was the ______
a. fan speed
b. mass
c. acceleration

Answers

Answer:

a

Explanation:

Fan speed is the answer

which of the following items has the most inertia while at rest

Answers

Answer:

wats the following items

A 75.0 kg man pushes backward on a 300.0 kg boat with a force of 150.0N causing the boat to accelerate backward at 0.5m/s^2. What is the acceleration of the man?

A) 150.0 m/s^2
B) 8.00 m/s^2
C) 2.00 m/s^2
D) 4.00 m/s^2

Answers

Answer:

C) 2.00 m/s^2

Explanation:

F = m*a

150N = 75kg(a)

a = 150N/75kg

a = 2.0m/s²

A cell has an emf of 1.5 V and an internal resistance of 0.65 Q.
The cell is connected to a resistor R.
[0[8].[4] State what is meant by an emf of 1.5 V.
[2 marks]
I
[0] 8]-[2] The current in the circuit is 0.31 A.
Show that the total power output of the cell is approximately 0.47 W.
[1 mark]
[o[s).[3] Calcutate the energy dissipated per second in resistor R.
[2 marks]
energy dissipated per second = Ist
[o[si.[4] The cell stores 14 kJ of energy when it is fully charged. The cell's emf and internal resistance are constant as the cell f discharged.
Calculate the maximum time during which the fully-charged cell can deliver energy to
resistor R.
[2 marks)
maximum time = 5

Answers

Answer:

14000 J / 0.40 J/s = 35 000 s or about 9.75 hrs

ASAPP PLS HELP MEE
The density of aluminum is 2.7 g/cm^3. Which of the following statement is true?

A) 1 g of aluminium has a volume of 1 cm^3

B) 2.7 g of aluminium has a volume of 1 cm^3

C) 1 g of aluminium has a volume of 2.7 cm^3

D) 2 g of aluminium has a volume of 7 cm^3​

Answers

Answer:

B) 2.7 g of aluminium has a volume of 1 cm^3

Explanation:

Density can be defined as mass all over the volume of an object.

Simply stated, density is mass per unit volume of an object.

Mathematically, density is given by the equation;

[tex]Density = \frac{mass}{volume}[/tex]

If the density of aluminum is 2.7 g/cm³, it simply means that 2.7 g of aluminium has a volume of 1 cm³

Check:

Given the following data;

Mass = 2.7 grams

Volume = 1 cm³

Substituting into the formula, we have;

[tex]Density = \frac{2.7}{1}[/tex]

Density = 2.7 g/cm³

Change the following as indicated in the brackets.
8m (km,cm)​

Answers

metres to kilometres = 1/1000

8 m ⇒ 0.008 km

metres to centimetres = × 100

8 m ⇒ 800 cm

Answer:

1000m=1km

so, 8m=8/1000 = 0.008km

1m=100cm

so, 8m=8×100=800

Behaviors in deer such as herding and male deer using antlers to compete for females increase the chances of successful reproduction.

True or False

Answers

Answer:

True

Explanation:

The reproductive success of any species is the capability to produce their offspring per breeding lifetime or event.

Most of the species have to attract their partners by their physical capability and build up so that the mother can choose her partner in order to breed the best kind of off spring.

In the context, in case of deer, the size of the their antlers as well as behavior in herding is considered as the best chances for a successful reproduction to compete among the males and find their breeding mate.

Thus the answer is TRUE.

Brass is made by melting a mixture which contain 67% by mass of copper and 33% by mass of zinc if no change in volume.Calculate the density of brass​

Answers

Answer:

The density of brass is approximately 8,261.73 kg/m³

Explanation:

The percentage composition by mass of brass is given as follows;

The percentage by mass of copper = 67%

The percentage by mass of zinc = 33%

The density of copper, ρ₁ = 8.96 g/cm³

The density of zinc, ρ₂ = 7.133 g/cm³

Therefore, where we have, m = 100 g of brass, we have;

The mass of copper, m₁ = 67 g

The volume of copper, V₁ = m₁/ρ₁

∴ V₁ = 67 g/(8.96 g/cm³) ≈ 7.47767857 cm³

The volume of zinc, V₂ = m₂/ρ₂

∴ V₂ = 33 g/(7.133 g/cm³) ≈ 4.62638411 cm³

The volume of the brass, V = V₁ + V₂

V = 7.47767857 cm³ + 4.62638411 cm³ ≈ 12.104 cm³

The density of brass, ρ = m/V

∴ ρ = 100 g/(12.104 cm³) ≈ 8.26 g/cm³

The density of brass, ρ ≈ 8.26 g/cm³ = 8,261.73 kg/m³

A constellation’s changing position in the sky, at the same time of the evening, over a period of several weeks is evidence that:

a- Earth is round b- Earth’s axis is tilted. c- Earth rotates on its axis.
d- Earth revolves around the sun.

Answers

Answer:

d- Earth revolves around the sun.

Explanation:

Earth rotation can be defined as the amount of time taken by planet earth to complete its spinning movement on its axis.

This ultimately implies that, the rotation of earth refers to the time taken by earth to rotate once on its axis. One spinning movement of the earth on its axis takes approximately 24 hours to complete with respect to the sun.

On the other hand, earth revolution can be defined as a complete trip along a path around the sun. This path is known as an orbit and it typically takes the Earth 365¼ days to complete it's journey around the Sun.

When a constellation (stars) changes its position in the sky, at the same time of the evening and over a period of several weeks; it ultimately implies or is an evidence that Earth revolves around the sun.

Which of these is untrue about ray diagrams?
A. The arrowheads show the direction of the light

B. Lines must always be straight

C. More arrowheads on lines mean a brighter light

Answers

Answer:

The untrue option is C: "More arrowheads on lines mean a brighter light"

Explanation:

Ray diagrams are used to show how the light behaves with things like mirrors or lenses. Where we only study how the direction of the light changes when it interacts with these objects.

The "light" is represented with arrows, where again, the only thing we care is the direction of the light, so the first statement is true, the arrowheads show the direction of the light, and only that.

The intensity of the light, in this context, has no effect on how light behaves, so there is not a necessity of representing the intensity of the light, thus, more arrowheads on lines do not mean a brighter light. It may only be used to represent changes in direction of the light.

Finally, we know that light travels in straight pats (the pats can be curved in some cases, like with large gravitational fields, but this is not the case of a ray diagram) so the lines that represent the light should always be straight, thus option B is also true.

The untrue option is C: "More arrowheads on lines mean a brighter light"

What is kinetic and potential energy?

Answers

Answer:

the energy produced in a body due to its motion is kinetic energy.

energy produced in a body due to its position is potential energy.

Explanation:

kinetic energy is the energy possessed by a body in motion

Potential energy is the energy possessed by a body by virtue of its position with respect to a reference level

if a train starts from rest and attains a velocity of 100m/s in 25 seconds. calculate the acceleration produced by the train.​

Answers

-4 km/s2

Explanation:
0-100/25
-100/25
-4

help....................​

Answers

Answer:- 16000 Explanation:-force = 800Narea of 1 feet = 0.025Area of 2 feet= 0.025+0.025 = 0.050m²presure = force / area = 800 N / 0.050 = 16000

Why is a person not a good blackbody radiator?
O A. A person emits only visible light.
OB. A person emits only infrared radiation.
O C. A person absorbs most of the light that hits him or her.
O D. A person reflects little of the light that hits him or her.

Answers

Answer:

O C. A person absorbs most of the light that hits him or her.

Explanation:

Answer:

Option D hope it's helpful mark me as brainlist

DO U KNOW CARRYMINATI

Answers

Answer: Yes, I know



Explaination: Rough words and roaster

What is an example of a series circuit

Answers

Answer:

Explanation

The most famous and common example is Christmas tree lights. You can't tell easily by looking at them whether they are in series or parallel. But you sure know the difference when one of them burns out. When that happens, the whole string goes dead. No matter what you do (other than find out which bulb burned out) will not fix the problem.

Another example is anything that is temperature controlled. For example a furnace is controlled by a thermostat. When the room temperature reaches a certain point, the thermostat is constructed in a certain way so that it forms an open circuit and no current can flow through it. The furnace motor turns off and the furnace stops pumping hot air into a room.

If a serve hits the net, what happens?

• Re-do
• Dead Ball
• Other teams point
• Play the ball

Answers

Answer:

Depends: Is it tennis or volleyball?

Explanation:

If it's volleyball, it's C, the other teams point.

If it's tennis, it's A, you get a re-do.

when a car drives in a circle there must be ?

Answers

no net force axting on it

Answer:

I think none of above

Explanation:

hioe it's right answer

The unit of area is a derived unit. Why?

Answers

Explanation:

area=length(m) ×breadth(m) . The unit of area is expressed in terms of fundamental units m^2.thus it is derived unit

HELPPP ILL GIVE BRAINLIST

Answers

Answer:

1= Kidneys

2= Ureters

3=Bladders

4=Urethra

Explanation:

Functions of kidney: Regulations of water balances, excretions of nitrogenous wastes(urea)

Functions of Liver: Detoxifications, protein synthesis

Functions of Skin: Temperature regulations, Metabolic functions, Excretion

Functions of lungs: Respiration, Water balance regulations

Tip: If you want faster and correct answers you should label your questions under the correct subject.

In this experiment, the ______ was intentionally manipulated. This was the independent variable.
A. fan speed
B. mass
C. acceleration

Answers

Answer:

Fan speed

Explanation:

because is the dependent variable

QUESTION 30 A tennis ball moves back and forth 10 times in 5 sec. The frequency of its motion is​

Answers

Answer:

so in 1 sec 2 times

so frequency = 2

Explanation:

A sled with mass 11.00 kg moves in a straight line on a frictionless horizontal surface. At one point in its path, its speed is 4.00 m/s; after it has traveled a distance 3.00 m beyond this point, its speed is 7.00 m/s. Use the work-energy theorem to find the force acting on the sled, assuming that this force is constant and that it acts in the direction of the sled's motion.

Answers

Answer:

The magnitude of the force acting on the sled is 60.5 newtons.

Explanation:

The Work-Energy Theorem states that the work done by the external force applied on the sled ([tex]W[/tex]), in joules, is equal to the change of its translational kinetic energy ([tex]\Delta K[/tex]), in joules:

[tex]W = \Delta K[/tex] (1)

By definitions of work and translational kinetic energy we expand the equation above:

[tex]F\cdot s = \frac{1}{2}\cdot m\cdot (v_{2}^{2}-v_{1}^{2})[/tex] (1b)

Where:

[tex]F[/tex] - External force applied on the sled, in newtons.

[tex]s[/tex] - Travelled distance, in meters.

[tex]v_{1}, v_{2}[/tex] - Initial and final velocities, in meters per second.

If we know that [tex]m = 11\,kg[/tex], [tex]v_{1} = 4\,\frac{m}{s}[/tex], [tex]v_{2} = 7\,\frac{m}{s}[/tex] and [tex]s = 3\,m[/tex], then the external force applied on the sled is:

[tex]F = \frac{m\cdot (v_{2}^{2}-v_{1}^{2})}{2\cdot s}[/tex]

[tex]F = \frac{(11\,kg)\cdot \left[\left(7\,\frac{m}{s} \right)^{2}-\left(4\,\frac{m}{s} \right)^{2}\right]}{2\cdot (3\,m)}[/tex]

[tex]F = 60.5\,N[/tex]

The magnitude of the force acting on the sled is 60.5 newtons.

A partially inflated balloon is faded over the open end of a glass beaker that contains water the beaker is placed in an ice bath which cause the water and causes the balloon to the flea what are the correct designs for the heat and work changes to the beaker and balloon system

Answers

Answer:

a

Explanation:

If the amplitude of a sound wave is increased by a factor of four,how does the energy carry by the sound wave in each time interval change?

Answers

Answer:

The energy will be increased by a factor 16

Explanation:

Mathematically, we have it that the energy carried by the sound wave is directly proportional to the square of the amplitude

So we have it that;

E = k * A^2

where E is the wave energy

K is the constant value

A is the amplitude value

So;

If E1 = k * (A1)^2

E2 = k * (A2)^2

But A2 = 4A1

E2 = k * (4A1)^2

E2 = k * 16(A1)^2

Divide E2 by E1

E2/E1 = k/k * 16(A1)^2/(A1)^2

E2/E1 = 16

E2 = 16 * E1

so simply, the energy will be increased by a factor of 16

Other Questions
Help me plssss thank youuu Fill in the blank. Given O below, you can conclude that SO is congruent to ___ Which is not a metabolic waste in humans?A) carbon dioxide B) oxygenC) saltD) ureaE) water Honeybees acquire a charge while flying due to friction with the air. A 100 mg bee with a charge of 33 pC experiences an electric force in the earth's electric field, which is typically 100 N/C, directed downward. 1. What is the ratio of the electric force on the bee to the bee's weight?2. What electric field strength would allow the bee to hang suspended in the air? 3. What electric field direction would allow the bee to hang suspended in the air? 1. Hardly ever________far from home.A. my daughter traveled B. my daughter has traveledC. did my daughter travel D. my daughter did travel2. ________he arrived at the bus stop when the bus came.A. Hardly had B. No sooner C. No longer has D. Not until had3. No sooner________than the class started. A. did my friends arrive C. my friends arrivedB. had my friends arrived D. my friends had arrived 4. Hardly had Jane________the project report when Jim came in.A. finish B. finishing C. finished D. to finished5. Nowhere________the fresh and peaceful air like here.A. can you enjoy B. you can enjoy C. you enjoy D. you do enjoy6. ________circumstances should you call me after midnight.A. On B. Under C. Under no D. On no7. Only after you obtain a driving license________a car.A. did you drive B. can you driveC. you will be able to drive D. you are able to drive8. Scarcely________the phone down when the manager rang back.A. did he put B. has he put C. had he put D. he had put9. Had they arrived at the conference earlier, they________the professor they admired.A. had met B. have met C. met D. would have met10. Only by working harder________higher pay.A. will you get B. you will get C. did you get D. you got11. Only by working extra time________able to support his large family.A. he was B. he is C. hes being D. was he12. Little________that I would get mark A for this subject.A. did I imagine B. I imagined C. I could imagine D. imagined I13. Never________any doubt about the matter.A. has there been B. hasn't there been C. there has been D. there hasnt been14. ________else can there be a woman like this, so everybody admires her.A. Anywhere B. Somewhere C. Where D. Nowhere15. ________, they would not have admired her so much.A. If she were generous B. Had it not been for her generosityC. If it hadn't been for she were generous D. Despite her generosity16. ________will Andrew get a higher salary in the future.A. With hard work B. Despite his hard workC. Only if he works hardly D. Only by working hard.17. So________that my cousin licked the plate clean.A. being hungry B. great her hunger C. hungry was she D. had she hunger18. ________you wish to cancel your order, please contact our customer service department.A. Should B. Were C. Had D. If19. ________the medicine than she began to feel better.A. Not until she swallowed B. Hardly did she swallowC. No sooner had she swallowed D. Having swallowed20. Vietnam has more motorbikes on roads________.A. than European countries are B. European countries thanC. than do European countries D. than are European countries A group of 3 boys is sharing 4 small pans of rice krispie treats. What is the total amount of rice krispie treats each boy will get? Write a function number_of_pennies() that returns the total number of pennies given a number of dollars and (optionally) a number of pennies. Ex: If you have $5.06 then the input is 5 6, and if you have $4.00 then the input is 4. Sample output with inputs: 5 6 4 506 400 Which diagram represents the hypothesis of the converse of corresponding angles theorem? We monitor our heart rate during our cardiovascular activity to measure the_____ of our cardiovascular workout Alaina has $28 in her account .she wants to purchase a pair of shoes that costs $45 .if alaina makes the purchase which integer will represent the amount of money in alaina account? Bob the accountant needs to record indirect labor utilized of $6,000 in a journal entry. Bob should:_____.a. debit Manufacturing Overhead, $6,000; credit Wages Payable, $6.000. b. debit Accounts Payable, $6,000; credit Manufacturing Overhead, $6,000.c. debit Manufacturing Overhead, $6,000; credit Accounts Payable, $6,000. d. debit Wages Payable, $6,000; credit Manufacturing Overhead, $6,000. "" damped force equation "" 8-What were the main differences between Britains colonies in Australia and New Zealand between 1788 and 1914 ?9-How did the position of black South Africans evolve under British rule from the 1820s to 1914 ? 10-Briefly describe the economic relationship between Great Britain and its colonies in Canada, South Africa and Australasia between 1780 and 1914. Where possible, give precise statistics to support your answer. 11-What impact did the First World War have on Britains relationship with the Dominions?12-What impact did the British settlement and policies have on the indigenous population of Canada and New Zealand during the nineteenth century ? Give the similarities and differences in terms of their treatment and experiences ? Which of these is distributed by Louisianas petrochemical supply?A. NylonB. ChlorineC. Cotton D. Fertilizers Cameron is a US citizen. He had certain ideas that could take the form of laws and bring about reforms in the country's agricultural sector. Which step should Cameron take? The equation x ^ 2 - 2x + y ^ 2 - 4y = 20 defines a circle in the xy-coordinate plane What is the radius of the circle? two capacitors with capacitances of 1.5 Question 9 of 10Which functional group does the molecule below have? Cu 1 (2 im). Cho h cc vector U = {(1,2,2); (0,-1,-1);(2,3,3);(1,0,0).a) tm s chiu v mt c s W ca khng gian con sinh bi h vector Ub) tm tham s k u=(2,3,k^2 +1) l mt t hp tuyn tnh cu W, v suy ra [u]wgii h mnh vi At Bargain Electronics, it costs $29 per unit ($16 variable and $13 fixed) to make an MP3 player that normally sells for $50. A foreign wholesaler offers to buy 3,480 units at $27 each. Bargain Electronics will incur special shipping costs of $1 per unit. Assuming that Bargain Electronics has excess operating capacity. Required:Indicate the net income (loss) Bargain Electronics would realize by accepting the special order.