A box is suspended by a rope. when a horizontal force of 100 n acts on the box, it moves to the side until the rope is at an angle of 20 degree with the vertical. the weight of the box is.

Answers

Answer 1

The weight of the box is approximately 273.45 N.

To determine the weight of the box, we will consider the equilibrium of forces acting on the box when it is displaced to its final position. At this point, there are three forces acting on the box: the weight (W), tension in the rope (T), and the horizontal force (F = 100 N). These forces can be represented using vectors and trigonometry.

Since the box is in equilibrium, the net force acting on it is zero. Therefore, the horizontal and vertical components of the tension in the rope must balance the horizontal force and the weight of the box, respectively. Using the angle provided (20 degrees), we can calculate the components of the tension in the rope as follows:

Horizontal component: T_horizontal = T * sin(20°)
Vertical component: T_vertical = T * cos(20°)

To balance the forces, we have:
T_horizontal = F => T * sin(20°) = 100 N
T_vertical = W => T * cos(20°) = W

Now, divide the first equation by the second equation:
(T * sin(20°)) / (T * cos(20°)) = (100 N) / W

Simplify the equation using the trigonometric identity tan(θ) = sin(θ) / cos(θ):
tan(20°) = (100 N) / W

Now, solve for W:
W = (100 N) / tan(20°)

W ≈ 273.45 N

The weight of the box is approximately 273.45 N.

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Related Questions

A paratrooper is inltially falling dowtward at a speed of 30.3 m/s before her parachute opens, When it opens, she expeliences an upnard instantaneous acceleration of 69 m/s² (a) if this acceleration remained coestant, how much tima would be required to reduce the paratrooper's speed to a sate 5.25 m/s² (Actually the acceleratien is not constant in this case- tut. the equations of constant acceleration provide an easy estimate.) (b) How far does the paratreoper fall during this time interval?

Answers

(a) The time required to reduce the paratrooper's speed to 5.25 m/s², assuming the acceleration is constant, can be found using the formula `v = u + at`, where `v` is the final velocity, `u` is the initial velocity, `a` is the acceleration, and `t` is the time taken.

Initially, the paratrooper is falling downward at a speed of 30.3 m/s, and after the parachute opens, the upward acceleration is 69 m/s². Therefore, the net acceleration is given by:

Net acceleration = upward acceleration - downward acceleration= 69 - 9.81= 59.19 m/s²

The time taken to reduce the speed to 5.25 m/s can be found by substituting the values into the above formula as shown below:5.25 = 30.3 + 59.19t⇒ t = (5.25 - 30.3)/59.19≈ -0.421 s

Since the time can't be negative, the above estimate is invalid.

(b) The distance fallen during the time interval can be found using the formula `s = ut + 1/2 at²`. If the acceleration is not constant, an easy estimate can be obtained by taking the average of the initial and final speeds, and multiplying by the time taken, which is approximately the same as the actual distance fallen.

The average speed is given by:(30.3 + 5.25)/2 = 17.78 m/s

Therefore, the approximate distance fallen is:s ≈ ut = 17.78 × t

(a), the time taken to reduce the speed to 5.25 m/s is approximately -0.421 s, which can be disregarded since time can't be negative.

Therefore, the actual time taken is:5.25 = 30.3 + at⇒ t = (5.25 - 30.3)/a= 1.435 sSubstituting this into the above formula, the actual distance fallen is:s = 17.78 × 1.435≈ 25.50 m

Therefore, the paratrooper falls a distance of approximately 25.50 m during this time interval.

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Convert 3.8 kg to Lbs

Convert 3.8 kg to Lbs

Answers

I believe it’s 8.3 to be precise

Answer:

8.37757

Explanation:

may i have brainliest

3)
Which type of current in a circuit will produce a magnetic field?
a) direct current only

b) alternating current only

c) both direct and alternating current

d) Neither direct and alternating current

Answers

c) both direct and alternating current

Because Ampere's Law, a magnetic field is produced whenever an electrical charge is in motion. So, both kind of currents produces a magnetic field when electrical current is flowing through a wire.

some sedimentary rocks are made from smaller rounded stones that have been cemented together called what?

A: Intrusive rock
B: conglomerate rock
C: extrusive rock
D: marble

Answers

Answer:

B.

Explanation:

Intrusive and extrusive rocks are igneous rocks and marble is metamorphic, by the process of elimination, B would be the correct answer.

Answer:

answer is B

Explanation:

Your lab partner shows you results from an experiment with a simple machine. The output work is 10 joules and the input work is 8 joules. She asks, "Does this data look correct?" What would be your response and why?​

Answers

Answer:

Work in + Work wasted = Work out

The data is probably not correct since the work produced should be less than the work input

How can planetary scientists estimate the ages of the outflow channels and valley networks on mars?.

Answers

Planetary scientists estimate the ages of the outflow channels and valley networks on mars by craters

Due to impact of meteorite, volcanic activity, or an explosion , there occurs a depression at a certain area , that is called crater .

Ages of the outflow channel and valley network can be estimated by counting the number of impact craters. Because of the almost constant  rate at which impacts have occurred in the solar system .

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A tornado moving cross a street with a force of 600 N pushes a trailer a distance of 25 m.
How much work was performed in the process?​

Answers

Answer:

W = 15,000 Joule

Explanation:

Mechanical Work

Mechanical work is the amount of energy transferred by a force. It's a scalar quantity, with SI units of joules.

If both the force and displacement are parallel, then we can use the scalar formula:

W=F.s

Where

F =Magnitude of the force

s = magnitude of the displacement

The tornado moved a trailer with a force of F=600 N for a distance of s=25 m. The work done was:

W = 600 N * 25 m

W = 15,000 Joule

answer them all please!!

answer them all please!!

Answers

Answer:

Digestive = large instestine

respiratory = lungs

circulatory red blood cell

neurons=nerves

Explanation:

females have two of wich reprodutive structure​

Answers

Answer:

ovaries

Explanation:

they have two ovaries one on either side of the uterus.

I hope this helps

Dump Tower is 96 stories tall. A small, 0.6-kg object is dropped over the side of the roof of the tower and accelerates toward the ground. Track the object for its entire fall. Each story of this tower is 3.01 meters tall.


What is the accelertion due to gravity of the planet and what is the impact speed of the object you dropped? Note: Time of fall is 12.60s

Answers

Answer:

Explanation:

height of one floor = 3.01 m

height of 96 floor h = 96 x 3.01 = 288.96 m

time of fall t = 12.6 s

h = 1/2 g x t²

288.96 = 1/2 x g x 12.6²

g = 3.64 m /s²

v = u + gt

v = 0 + 3.64 x 12 .6

= 45.86 m /s

velocity of impact = 45.86 m /s .

What is the slope of a hill that is 10 m high and has a horizontal distance of 30 m the from top to the bottom?

Answers

The slope of the hill is 1/3. This means that for every 3 meters horizontally, the hill rises by 1 meter vertically.

The slope of a hill can be determined by calculating the ratio of the vertical change (height) to the horizontal change (distance). In this case, the hill is 10 meters high and the horizontal distance from the top to the bottom is 30 meters.

To identify the slope, we divide the height (10 m) by the horizontal distance (30 m). The slope is calculated as follows:
Slope = height / distance
Slope = 10 m / 30 m
Slope = 1/3

It's important to note that slope is typically represented as a ratio or fraction, which indicates the change in height per unit of horizontal distance. In this case, the slope of 1/3 tells us that the hill rises by 1 meter for every 3 meters of horizontal distance.

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When iron is burned, it combines with oxygen to form iron oxide. The table below shows the densities of all of these substances. Substance iron iron oxide Density (g/cm3) 7.9 1.3 × 10−3 5.2 Based on the information from the data table, which of these is a correct conclusion about the burning of iron? A. A chemical reaction does not occur because both iron and iron oxide have high densities. B. A chemical reaction does not occur because burning iron causes it to melt, which is a physical change. C. A chemical reaction occurs because each iron atom loses mass when it is burned. D. A chemical reaction occurs because the density of iron is different from the density of iron oxide.

Answers

The statement that is a correct conclusion about the burning of iron is as follows: a chemical reaction occurs because the density of iron is different from the density of iron oxide.

What is a chemical reaction?

A chemical reaction is a process, typically involving the breaking or making of interatomic bonds, in which one or more substances are changed into others.

Rusting is an example of chemical reaction that involves the deterioration of iron or steel as a result of moisture and oxidation.

According to this question, when iron is burned, it combines with oxygen to form iron oxide. This process is a chemical reaction/change.

Therefore, the statement that is a correct conclusion about the burning of iron is as follows: a chemical reaction occurs because the density of iron is different from the density of iron oxide.

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An alcohol-related motor vehicle crash in the U.S. kills one person every 3.5 hours. TRUE FALSE​

Answers

An alcohol-related motor vehicle crash in the U.S. kills one person every 3.5 hours. This statement is FALSE.

An alcohol-related motor vehicle crash in the U.S. does not necessarily kill one person every 3.5 hours. The frequency and impact of alcohol-related motor vehicle crashes can vary, and the number of fatalities can change over time and across different regions. It is important to consider up-to-date statistical data and specific circumstances to accurately assess the frequency of alcohol-related motor vehicle crash fatalities.

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Which source of energy is used in a nuclear power station to generate electrical energy

Answers

Steam is produced when the cooling agent is heated by nuclear fusion. Turbines, or wheels turned by a flowing current, are rotated by the steam. The generators, which are engines that produce power, are driven by the turbines. Above process is followed in a nuclear power station to generate electrical energy.

Electrical energy is the energy that emerges from the kinetic or potential energy of charged particles. It is referred to be energy that has undergone transformation from overall electric potential energy.

Electrical energy can be described as the result of electrons travelling between two points. The movement of charged particles along or through a medium is known as electricity or current (like a wire).

The basic unit of electrical energy is the joule, also referred to as a watt-second. One joule of electrical energy is produced when one amp of current flows through a circuit for one second while a potential difference of one volt is applied across it.

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a standard temperature and pressure (stp) is defined as a temperature of 0 degrees C and a pressure of 101.3 kPa. what is the volume occupied by one mole of an ideal gas at STP

Answers

One mole of any ideal gas occupies a volume of 0.0224 m^3 at STP.

At STP, the temperature is 0 degrees Celsius or 273.15 Kelvin, and the pressure is 101.3 kPa. To find the volume occupied by one mole of an ideal gas at STP, we can use the ideal gas law:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin.

At STP, we know that the pressure is 101.3 kPa and the temperature is 273.15 K. We also know that one mole of any ideal gas occupies the same volume at the same temperature and pressure conditions, according to Avogadro's Law.

Let's assume that we are dealing with an ideal gas that behaves according to the ideal gas law. We can then rearrange the equation to solve for the volume (V) occupied by one mole of the gas:

V = nRT/P

where n = 1 mole, R = 8.314 J/(mol K) is the gas constant, and P and T are the pressure and temperature at STP, respectively.

Substituting the values, we get:

V = (1 mol)(8.314 J/(mol K))(273.15 K)/(101.3 kPa)

Simplifying the units, we can convert kPa to Pa and J to L kPa/(mol K), we get:

V = (1 mol)(8.314 L kPa/(mol K))(273.15 K)/(101,300 Pa)

After doing the calculation, we get:

V = 0.0224 m^3/mol

Therefore, one mole of any ideal gas occupies a volume of 0.0224 m^3 at STP.

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Muscle fibers move back and forth during _____.

Answers

Answer:

it must move back and forth during sex

The answer is exercise

A semiconductor is a _____. a) crystalline solid that conducts current under any condition b) crystalline solid that conducts current under certain conditions c) metallic solid that conducts current under any condition d) metallic solid that conducts current under certain conditions

Answers

Explanation:

A crystalline solid that conducts current under certain conditions

Two objects in a closed system collide. After the collision, one object has lost speed, but the other object has gained speed. Explain what has happened. A. Total momentum in a closed system is conserved. B. Gravitation potential energy converts to kinetic energy. C. Kinetic energy converts to gravitational potential energy. D. Mass is conserved

Answers

A. Total momentum in a closed system is conserved

the law of momentum conservation states that The total amount of momentum before the collision is the same as the total momentum after the collision. Regardless of the change of momentum of each object.

Inertia is an object's natural tendency to remain in constant motion or at rest. An object moving through outer space, for example, will continue moving in one direction and at a constant speed due to its inertia, if no other forces act on it. Why do planets constantly change the direction in which they move

Answers

Option B, C, and E are correct. First principle of motion options that address the issue include Before an item may move, it must be subjected to a net force. The inertia rule is another term for the first principle of Newton's theory of motion.

InertiaNewton's fundamental law holds valid whether or not an object is moving. Newton's first law can be viewed as the law of inertia. It helped us understand that when a body is at rest, it will remain immobile unless an external force is added to it, or that if a body is moving at a constant rate, it will continue to move until an external force is applied to it.Only when a net force is applied will a body move from its resting state. This law is demonstrated whenever a passenger in a car fastens their seat belt. This rule applies to both stationary and moving items. Thus, alternatives B, C, and E are correct.

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Complete question: Inertia is an object's natural tendency to remain in constant motion or at rest. An object moving through outer space, for example, will continue moving in one direction and at a constant speed due to its inertia, if no other forces act on it. Why do planets constantly change the direction in which they move?

A. Most planets do not have any inertia, so their motion constantly changes.

B. The force of gravity acts on planets and changes the direction of their motion.

C. Each planet's inertia is constantly changing from one moment to the next.

D. There are no forces acting on the planets as they move in orbits around the Sun.

How far did the football player run if it took them 30 s running at 25m/s?​

Answers

Answer:

\(\boxed {\boxed {\sf 750 \ meters}}\)

Explanation:

Distance can be found by multiplying the speed by the time.

\(d=s*t\)

The speed is 25 meters per second. The time is 30 seconds.

\(s=25 \ m/s \\t= 30 \ s\)

Substitute the values into the formula.

\(d=25 \ m/s * 30 \ s\)

Multiply. Note the seconds, or "s" will cancel each other out.

\(d= 25 \ m * 30\)

\(d= 750 \ m\)

The football player ran 750 meters.

what would be the answer for this and how?

what would be the answer for this and how?

Answers

Answer:

B. 6 cm

Explanation:

First, we calculate the spring constant of a single spring:

\(k = \frac{F}{\Delta x}\\\)

where,

k = spring constant of single spring = ?

F = Force Applied = 10 N

Δx = extension = 4 cm = 0.04 m

Therefore,

\(k = \frac{10\ N}{0.04\ m}\\k = 250\ N/m\\\)

Now, the equivalent resistance of two springs connected in parallel, as shown in the diagram, will be:

\(k_{eq} = k + k\\k_{eq} = 2k = 2(250\ N/m)\\k_{eq} = 500\ N/m\\\)

For a load of 30 N, applying Hooke's Law:

\(\Delta x = \frac{F}{k_{eq}}\\\\\Delta x = \frac{30\ N}{500\ N/m}\\\\\Delta x = 0.06\ m = 6\ cm\\\)

Hence, the correct option is:

B. 6 cm

A 7kg roller coaster cart is traveling at 12 m/s. What is the maximum height of the hill that the cart can travel up

Answers

Answer:

7.34 meters

Explanation:

If the entire Kinetic energy is converted to Potential energy

1/2 mv^2 = mgh          didvide both sides by ' m '

1/2 v^2 = gh                 solve for 'h'

1/2 v^2 / g = h              plug in the given values  ,   g = 9.81 m/s^2

1/2 (12)^2 / 9.81 = h = 7.34 m

suppose you have two socks sticking together in the clothes dryer from static electrity. what happens if they are spun gently?

Answers

As the two socks are being spun too slowly, they are probably not going to stick together since the static charge would be too small to cause them to adhere.  

An imbalance in the charged particles of the thing is what causes static electricity, according to this definition. Until they are released or discharged, these charges remain on the object's surface. Static electricity is produced at the surface of the object as a result of these charges.

When a dryer's electricity supply is turned on, clothing spin faster and become stuck to one another, creating friction force between them. When the supply gets off, the spinner stopped its movement and the result is the static electricity that causes the socks to stuck together.

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Proton 1 moves with a speed v from the east coast to the west coast in the continental United States; proton 2 moves with the same speed from the southern United States toward Canada. (a) Is the magnitude of the magnetic force experienced by proton 2 greater than, less than, or equal to the force experienced by proton 1? (b) Choose the best explanation from among the following: I. The protons experience the same force because the magnetic field is the same and their speeds are the same. II. Proton 1 experiences the greater force because it moves at right angles to the magnetic field. III. Proton 2 experiences the greater force because it moves in the same direction as the magnetic field.

Answers

(a) The magnitude of the magnetic force experienced by proton 1 and proton 2 is the same.

(b) The correct explanation is I. The protons experience the same force because the magnetic field is the same and their speeds are the same.

The magnitude of the magnetic force experienced by a charged particle moving in a magnetic field depends on the velocity of the particle and the strength of the magnetic field. Since both protons have the same velocity and are moving in the same magnetic field, they experience the same magnetic force.

The first explanation "The protons experience the same force because the magnetic field is the same and their speeds are the same" is correct. Since both protons have the same velocity and are moving in the same magnetic field, they experience the same magnetic force.

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A hammer exerts 49.8 N of force on the head (r=0.00510 m) of a nail. How much pressure does it exert on the nail?

A hammer exerts 49.8 N of force on the head (r=0.00510 m) of a nail. How much pressure does it exert

Answers

Answer:

609547.12 Pa ≈ 6.10×10^5 Pa

Explanation:

Step 1:

Data obtained from the question. This include the following:

Force (F) = 49.8 N

Radius (r) = 0.00510 m

Pressure (P) =..?

Step 2:

Determination of the area of the head of the nail.

The head of a nail is circular in nature. Therefore, the area is given by:

Area (A) = πr²

With the above formula we can obtain the area as follow:

Radius (r) = 0.00510 m

Area (A) =?

A = πr²

A = π x (0.00510)²

A = 8.17×10^-5 m²

Therefore the area of the head of the nail is 8.17×10^-5 m²

Step 3:

Determination of the pressure exerted by the hammer.

This is illustrated below:

Force (F) = 49.8 N

Area (A) = 8.17×10^-5 m²

Pressure (P) =..?

Pressure (P) = Force (F) /Area (A)

P = F/A

P = 49.8/8.17×10^-5

P = 609547.12 N/m²

Now, we shall convert 609547.12 N/m² to Pa.

1 N/m² = 1 Pa

Therefore, 609547.12 N/m² = 609547.12 Pa.

Therefore, the pressure exerted by the hammer on the nail is 609547.12 Pa or 6.10×10^5 Pa

Answer:

609547.12

Explanation:

8. Paige dropped a ball out of a car while her friend Destiny was traveling at a velocity of 25
m/s. The ball underwent a deceleration of -2m/s² and rolled to a stop on the pavement. How
long did it take the ball to stop?

Answers

Answer:

I think it's 12.5s

Explanation:

Bare with me, because I just started physics, but I think I have the answer right... Hopefully.

starting with your knowns, we know velocity is 25 m/s from the problem. you also can figure out your acceleration, -2 m/s.

You're looking for the time it takes until the ball stops rolling. Your time is unknown.

Your equation would be a=v/t (acceleration being a, velocity being v, and time being t)

You have to solve for t giving you t=v/a

Now you have to fill in your numbers. t=25m/s divided by -2m/s^2

Your answer should end up as -12.5

You have to solve for your units, but since you're finding time it's pretty straightforward in knowing you're dealing with seconds.

Hope this helped... :) sorry if it didn't-

A 25.2 kg gazelle moving 2.33 m/s
sees a lion, and exerts a 113 N
force to accelerate. How fast is
it moving 2.00 s later?

Answers

Force = mass x acceleration
113N = 25.2a
a = 4.48 m/s^2
Vf = Vi + at
Vf = 2.33 + 4.48(2) = 11.3 m/s

The velocity of the gazelle after 2 seconds is equal to 11.3 m/s.

What is the equation of motion?

The equations of motion have described the relationship between the time, velocity, acceleration, and displacement of a moving object.

The equations of motions can be described as shown below:

\(v = u + at\\S = ut +\frac{1}{2}at^2 \\ v^2-u^2 = 2aS\)

Given the mass of the gazelle, m = 25.2 Kg

The force acting to accelerate, F = 113N

The acceleration in the speed of gazelle is given by: a = F/m

a = 113/ 25.2

a = 4.48 m/s²

The initial speed of the gazelle, u = 2.33 m/s

From the first equation of motion we can calculate the final velocity of the  gazelle:

v = u + at

v = 2.33 + (4.48) (2)

v = 11.3 m/s

Therefore, the velocity of the gazelle 2 seconds later is 11.3 m/s.

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26. A container has 2.5 litres of water at 20C. How much heat is
required to boil the water?
a) 840000 J
c) 880000 J
b) 800000 J
d) 900000J

Answers

A is the answer to the problem
The answer is A (sorry if it’s wrong)

A horizontal force of magnitude 35 N pushes a block of mass 7 kg across a floor where the coefficient of kinetic friction is 0.55. The block slides through a displacement of 12.8 m across the floor and the thermal energy of the block increases by 64 J. What is the increase in thermal energy of the floor in joules

Answers

The increase in thermal energy of the floor is 384 J.

Given:

Force (F) = 35 N

Mass (m) = 7 kg

Coefficient of kinetic friction (μk) = 0.55

Displacement (d) = 12.8 m

Increase in thermal energy of the block (ΔE) = 64 J

First, let's calculate the work done by the friction force:

Work = Force × Displacement × cosθ

Since the force and displacement are in the same direction, the angle (θ) between them is 0 degrees, and the cosine of 0 degrees is 1. Therefore, we can simplify the equation to:

Work = Force × Displacement

Work = 35 N × 12.8 m

Work = 448 J

This work is equal to the increase in thermal energy of the block:

Work = ΔE

448 J = 64 J + Increase in thermal energy of the floor

Increase in thermal energy of the floor = 448 J - 64 J

Increase in thermal energy of the floor = 384 J

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what has to increase in order for an object to accelerate?

Answers

Answer:

Answer: B. Explanation: For an object to accelerate the force on it must be increased. According to Newton's second law of motion.

Explanation:

I do Accelerate to good luck

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