A chair of weight 100 N lies atop a horizontal floor; the floor is not frictionless. You push on the chair with a force of F = 43.0 N directed at an angle of 35.0 degrees below the horizontal and the chair slides along the floor. Using Newton's laws, calculate n, the magnitude of the normal force that the floor exerts on the chair. Express your answer in newtons.

Answers

Answer 1
Answer:

Answer:

The normal force will be "122.8 N".

Explanation:

The given values are:

Weight,

W = 100 N

Force,

F = 40 N

Angle,

θ = 35.0°

As we know,

⇒  N=W+FSin \theta

On substituting the given values, we get

⇒      = 100N+40N \ Sin \theta

⇒      =100N+22.8

⇒      =122.8 \ N

Answer 2
Answer:

Final answer:

To calculate the magnitude of the normal force, analyze the forces acting on the chair and find the sum of the vertical component of the applied force and the weight of the chair. The normal force is equal to the sum of the vertical component of the applied force and the weight of the chair.

Explanation:

To calculate the magnitude of the normal force that the floor exerts on the chair, we need to analyze the forces acting on the chair. The weight of the chair is acting vertically downwards with a magnitude of 100 N. The force you apply to the chair is acting at an angle of 35.0 degrees below the horizontal. Since the chair is sliding, there must be a friction force opposing its motion. Using Newton's laws, we can find the normal force.

  1. Resolve the applied force into horizontal and vertical components. The horizontal component is given by F_cos(35°) and the vertical component is given by F_sin(35°).
  2. The horizontal component of the applied force is balanced by the friction force. Therefore, the friction force is equal to the horizontal component of the applied force.
  3. The vertical component of the applied force and the weight of the chair contribute to the normal force. So, the normal force is equal to the sum of the vertical component of the applied force and the weight of the chair.

Therefore, n = F_sin(35°) + weight = 43.0 N * sin(35°) + 100 N.

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Related Questions

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Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance s in the given amount of time t. s
Ultraviolet light is typically divided into three categories. UV-A, with wavelengths between 400 nm and 320 nm, has been linked with malignant melanomas. UV-B radiation, which is the primary cause of sunburn and other skin cancers, has wavelengths between 320 nm and 280 nm. Finally, the region known as UV-C extends to wavelengths of 100 nm. (a) Find the range of frequencies for UV-B radiation. (b) In which of these three categories does radiation with a frequency of 7.9 * 1014 Hz belong

What advantage is there in using a set of helmholtz coils over just a single small magnet?

Answers

Two parallel coils separated by a distance equal to the radius of the coils are known as Helmholtz coils. They are frequently used because they generate a magnetic field that is uniform over an appreciable region about its midpoint.

Which statement describes a disadvantage of using natural gas as an energy source? It is expensive to use. It is hard to stop using. It is a renewable resource. It is scarce in some parts of the world.

Answers

Due to the dependency on natural gasas a fuel, it is hard to stop using.

What is natural gas?

Natural gas is a fossil fuel which is obtained from the ground in association with petroleum.

Natural gas consists mainly of petroleum.

It is a non-renewable energy source.

Natural gas use contributes to global warming

However, due to the dependency on natural gasas a fuel, it is hard to stop using.

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Answer:

B : It is hard to stop using.

Explanation:

just took the quiz ! hope this helps with anyone who needs it !

A moon is in orbit around a planet. The​ moon's orbit has a semimajor axis of 4.3 times 10 Superscript 8 Baseline m and has an orbital period of 1.516 days. Use these data to estimate the mass of the planet.

Answers

Answer:

The mass of the planet is 2.7*10^(27)\ kg.

Explanation:

Given that,

Semi major axis a= 4.3*10^(8)

Orbital period T=1.516 days

Using Kepler's third law

T^2=(4\pi^2)/(GM)a^3

M=(4\pi^2)/(GT^2)a^3

Where, T = days

G = gravitational constant

a = semi major axis

Put the value into the formula

M=(4*(3.14)^2)/(6.67*10^(-11)(1.516*24*60*60)^2)(4.3*10^(8))^3

M=2.7*10^(27)\ kg

Hence, The mass of the planet is 2.7*10^(27)\ kg.

Sound with frequency 1300 Hz leaves a room through a doorway with a width of 1.03 m . At what minimum angle relative to the centerline perpendicular to the doorway will someone outside the room hear no sound

Answers

Answer:

  about 14.7°

Explanation:

The formula for the angle of the first minimum is ...

  sin(θ) = λ/a

where θ is the angle relative to the door centerline, λ is the wavelength of the sound, and "a" is the width of the door.

The wavelength of the sound is the speed of sound divided by the frequency:

  λ = (340 m/s)/(1300 Hz) ≈ 0.261538 m

Then the angle of interest is ...

  θ = arcsin(0.261538/1.03) ≈ 14.7°

At an angle of about 14.7°, someone outside the room will hear no sound.

John and Linda are arguing about the definition of density. John says the density of an object is proportional to itsmass. Linda says the object's mass is proportional to its density and to its volume. Which one, if either, is correct?A. They are both wrong
B. John is correct, but Linda is wrong
C. John is wrong, but Linda is correct
D. They are both correct.
E. John must be wrong, because Linda always wins these arguments.

Answers

Answer:

They are both correct.

Explanation:

The density of an object is defined as the ratio of its mass to its volume. This implies that the density of the object is both proportional to the mass and also to the volume of the object. John only mentioned mass which is correct. Linda mentioned the second variable on which density depends which is the volume of the object.

Hence considering the both statements objectively, one can say that they are both correct.

Which exerts more force, the Earth pulling on the moon or the moon pulling on the Earth? Explain.​

Answers

Answer: the earth

Explanation: Earth exerts a gravitational pull on the moon 80 times stronger than the moon's pull on the Earth. Over a very long time, the moon's rotations created fiction with the Earth's tugging back, until the moon's orbit and rotational locked with Earth.

and that's why the earth pulls the moon

Final answer:

The Earth pulling on the moon and the moon pulling on the Earth exert the same amount of force on each other due to Newton's third law of motion.

Explanation:

In terms of force, the Earth pulling on the Moon and the Moon pulling on the Earth exert the same amount of force on each other. This is because of Newton's third law of motion, which states that for every action, there is an equal and opposite reaction. So, while the Earth's gravitational force pulls the Moon towards it, the Moon's gravitational force also pulls the Earth towards it with an equal amount of force.

Newton's third law of motion states that for every action, there is an equal and opposite reaction. In the context of the gravitational interaction between the Earth and the Moon, the forces they exert on each other are equal in magnitude and opposite in direction.

The Earth pulls on the Moon with a gravitational force, and, according to Newton's third law, the Moon simultaneously pulls on the Earth with an equal gravitational force. These forces are sometimes referred to as "action and reaction pairs." The force that the Earth exerts on the Moon is often called the gravitational attraction of the Earth on the Moon, and vice versa.

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