A 6 kg block is released from rest at the top of an incline, as shown above, and slides to the bottom. The incline is 1.97 m long, is inclined at an angle of 29.4°, and the coefficient of kinetic friction between the block and the incline is 0.21.
a. Calculate the normal force the incline puts on the block.

Answers

Answer 1

The net force on the block acting perpendicular to the incline is

F = n - w cos(29.4°) = 0

where n is the magnitude of the normal force and w = m g is the weight of the block.

The equation itself comes from splitting up the forces acting on the block into components pointing parallel or perpendicular to the incline. The only forces acting on the block in the perpendicular direction are the normal force and the perpendicular component of the block's weight.

Solve for n :

n = m g cos(29.4°)

n = (6 kg) (9.80 m/s²) cos(29.4°)

n ≈ 51.2 N


Related Questions

Photons with the highest energy have the ____

A. strongest positive charge

B. longest period

C. highest amplitude

D. shortest wavelength

Answers

Answer:

D. shortest wavelength

Explanation:

Photons with the highest energy have the shortest wavelength. The shorter the wavelength, the higher the energy of a photon.

A photon is a quantity that transmits electromagnetic energy from one place to the other.

Gamma rays have photons that transmits the highest amount of energy. The rays have the shortest wavelength and highest frequency of all electromagnetic radiations.

Energy, wavelength and frequency of a photon are connected using the expression:

    E =  h f  = [tex]\frac{hc}{wavelength}[/tex]  

E is the energy

h is the Planck's constant

 f is the frequency.

Suppose a current flows through a copper wire. Which two things occur?
A. The field is perpendicular to the direction of flow of the current.
B. The field is parallel to the direction of flow of the current.
C. A magnetic field forms around the wire.
D. An electric field forms around the wire.

Answers

A magnetic field forms around the wire. and The field is perpendicular to the direction of flow of the current.

What is Magnetic field?

A magnetic field is a visual representation of how the magnetic force is distributed around and inside of magnetic objects.

Most people are at least somewhat familiar with common magnetic items and are aware that there may be forces at work between them.

We are aware that magnets have two poles and that the attraction or repulsion between two magnets depends on how they are oriented (similar poles). We are aware that this occurs in a certain area that surrounds a magnet.

Therefore, A magnetic field forms around the wire. and The field is perpendicular to the direction of flow of the current.

To learn more about magnetic field, refer to the link:

https://brainly.com/question/15719243

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No one falls out during a loop on a
rollercoaster because of _____.

Answers

Answer:

Seatbelts

Explanation:

Resistance to change in motion. it presses tour body outside of the loop, keeping you inside the cart

Seat belts or safety straps because it keeps you tucked in the seet.

An icicle falls off of a skyscraper from rest and falls for 34 seconds. How far did the icicle fall? Show all work and units. (a = g = 9.81 m/s^2) *

Answers

Explanation:

u = 0.0m/s

t = 34s

a = 9.81m/s²

Using Kinematics,

s = ut + 0.5at²

= 0 + 0.5(9.81)(34)²

= 5,670.18m.

A lamp draws a current of 20 A when it is connected to a 100 V source? What is the resistance of the lamp?

Answers

Explanation:

R = V / I = 100V / 20A = 5 ohms.

What is the difference between a vigorous sport and vigorous recreation ?

Answers

Answer:

Explanation:El ejercicio vigoroso previene en mayor medida el síndrome metabólico (un conjunto de enfermedades que aumentan el riesgo cardiovascular         )

mientras que una reacción vigorosa se   produce entre el aluminio y el gas cloro. Como consecuencia de la gran cantidad de energía liberada se producen luz y calor

Which statement best describes the overall function of the human respiratory system? A. The heart pumps blood containing carbon dioxide into the lungs, where it is absorbed. B. Oxygen is transferred into the blood, which circulates the gas throughout the body. C. Oxygen is taken into the lungs and exchanged for carbon dioxide, which is exhaled. D. Carbon dioxide is taken into the lungs and exchanged for oxygen, which is absorbed.

Answers

Answer:

C

Explanation:

During respiration, oxygen diffuses into the lung (carbon dioxide diffuses out), gets into the blood, and is transported around the body. The hemoglobin of the blood distributes the oxygen to the various cells and carbon dioxide from these cells diffuses into the blood. The blood travels back to the lung where the carbon dioxide is exchanged for oxygen once again. The carbon dioxide is eventually exhaled out of the nose.

The correct option is C.

A container of height 30cm has a capacity of 1.5litres. What is the height of similar container of capacity 3m^3. ​

Answers

Answer:

Height = 378 cm

Explanation:

see image

please help answer brainlest

each rock you need to tell where OK can you find them
like: your backyard or the road

Flakes of brick
Cracks in rocks
Lichen growing on rocks
Roots or plant growth making cracks in concrete
Worn away statues
Exposed rocks
Rust on rocks
Example You Found:

Answers

Answer:

Flakes of brick: Athens, Ohio

Cracks in rocks: Sandston, Mudcracks

Lichen growing on rocks: Antarctica living below the surface

Roots or plant growth making cracks in concrete: In the driveway, sidewalk, or road.

HELP ASAPP!! WILL TRY TO GIVE BRAINLIEST

What is produced in the nucleolus?

Answers

Answer: Image result for What is produced in the nucleolus?

The nucleolus is a region found within the cell nucleus that is concerned with producing and assembling the cell's ribosomes. Following assembly, ribosomes are transported to the cell cytoplasm where they serve as the sites for protein synthesis.

Explanation: hope this helps! PLs mark me as brainliest! Thank you and have a wonderful day/night!

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How are facilitated diffusion and active transport similar and different?

Answers

Answer:

Facilitated diffusion and active transport both utilize proteins to transport substances across membranes. Differences between active transport and facilitated diffusion 1. Active transport requires an input of energy, usually ATP, while facilitated transport does not.

A cruise started its trip 8:00. its average speed was 100 km/h. when it traveled 2/5 of its journey by 12:00, the boat changed its speed. if the boat was required to arrive at the destination at 17:00 what average speed must the boat travel at for the remaining journey?

Answers

Answer:

Explanation:idk

Name all of the steps on the Physical Activity Pyramid?

Answers

Answer:

The steps are:-

Moderate physical activityVigorous aerobicsVigorous sport and recreationMuscle fitness exerciseFlexibility exerciseAvoiding inactivityBalancing energy

paraffin wax is used to make candles
true or false

Answers

Answer:

true

Explanation:

PLS MAKE ME AS BRAINLIST

how is this please help me​

Answers

Answer:

jsjsjsjsmkskskskksksks

Which of the four spheres is this pictures/scene?

A) hydrosphere
B) biosphere
C) geosphere
D) atmosphere

Answers

Answer:

I Believe the answer is

[tex]D. \: \: atmosphere[/tex]

Explanation:

I hope how this helps!

Dos cargas q1= 5 Milicoulombios y q2 = 6 Milicoulombios, se encuentran separadas 4 cm y sufren una fuerza entre ellas. ¿Cuál será el valor de la fuerza entre ambas cargas? ¿Existirá una fuerza de atracción o de repulsión? ¿Por qué?

Answers

Answer:

El valor de la fuerza entre ambas cargas es 168,750,000 N.

Ambas cargas son positivas, por lo que entre ellas existirá una fuerza de repulsión.

Explanation:

Los responsables de todos los fenómenos eléctricos son los electrones, porque pueden escapar de la órbita del átomo y son mucho más ligeros que las otras partículas.

La carga eléctrica es una propiedad física propia de algunas partículas subatómicas que se manifiesta mediante fuerzas de atracción y repulsión entre ellas. La materia cargada eléctricamente es influida por los campos electromagnéticos, siendo a su vez, generadora de ellos.

Entre dos o más cargas aparece una fuerza denominada fuerza eléctrica cuyo módulo depende del valor de las cargas y de la distancia que las separa, mientras que su signo depende del signo de cada carga.

La fuerza entre dos cargas se calcula como:

[tex]F=k*\frac{Q*q}{d^{2} }[/tex]

donde:

F es la fuerza eléctrica de atracción o repulsión y se mide en Newtons (N). Q y q son lo valores de las dos cargas puntuales y se miden en Culombios (C). d es el valor de la distancia que las separa y se mide en metros (m)k es una constante de proporcionalidad llamada constante de la ley de Coulomb. Depende del medio en el que se encuentren las cargas. Para el vacío k es aproximadamente 9·10⁹ N·m²/C² utilizando unidades en el S.I.

Siendo 1 millicoulomb [mC] = 0,001 coulomb [C] y 100 cm= 1 m, en este caso sabes:

Q= 5 mC= 0.005 Cq= 6 mC= 0.006 Cd= 4 cm= 0.04 m

Reemplazando:

[tex]F=9*10^{9}\frac{N*m^{2} }{C^{2} } *\frac{0.005C*0.006C}{(0.04m)^{2} }[/tex]

F= 168,750,000 N

El valor de la fuerza entre ambas cargas es 168,750,000 N.

Las cargas del mismo signo se repelen, mientras que las cargas con diferente signo se atraen. En este caso ambas cargas son positivas, por lo que entre ellas existirá una fuerza de repulsión.

Which of the following substances can be separated into several elements?
A. nitrogen B. zinc
C. air D. aluminum

Answers

Answer: C

Explanation: Air

Hope this helps! Brainlist Plz?

The following substances can be separated into several elements is the air because consisting of a mixture of several gases, such as nitrogen, oxygen, carbon dioxide and noble gases.

What is air composed of?

Atmospheric air is made up of a mixture of several gases, such as nitrogen, oxygen, carbon dioxide and noble gases. Oxygen and nitrogen are the most abundant gases, with the other gases being found in smaller amounts.

So the only element that we can separate into is air, because when performing the separation we find oxygen, nitrogen, carbon dioxide and noble gases.

See more about air at brainly.com/question/19368011

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What is the direction of the centripetal force when applied to an object?

Answers

Answer:

It would move in a line tangent to the circular path

Explanation:

Yes that’s the answer good luck

Explain how to find the acceleration of an object that has one-dimensional horizontal motion.

Answers

acceleration is how much the velocity changes within a period of time so,

Acceleration= is the change in velocity divided by change in time

your units will be m/s squared

What is the mathematical relationship between wavelength and velocity? Inverse, horizontal, linear or quadratic? I NEED MAJOR HELP PLZ HELP ME THANK U

Answers

Answer: Wavelength is the measure of the length of a complete wave cycle. The velocity of a wave is the distance traveled by a point on the wave. In general, for any wave the relation between Velocity and Wavelength is proportionate. It is expressed through the wave velocity formula.

Explanation: For any given wave, the product of wavelength and frequency gives the velocity. It is mathematically given by wave velocity formula written as-

V=f×λ

Where,

V is the velocity of the wave measure using m/s.

f is the frequency of the wave measured using Hz.

λ is the wavelength of the wave measured using m. Velocity and Wavelength Relation

Amplitude, Frequency, wavelength, and velocity are the characteristic of a wave. For a constant frequency, the wavelength is directly proportional to velocity.

Given by:

V∝λ

Example:

For a constant frequency, If the wavelength is doubled. The velocity of the wave will also double.

For a constant frequency, If the wavelength is made four times. The velocity of the wave will also be increased by four times.

Hope you understood the relation between wavelength and velocity of a wave. I truely hope this helps you out tho! Goodluck!

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A girl walks 0.3 m/s. She moves 0.8 m/s 5 s later.

What is the girl’s acceleration?

0.8 m/s

0.5 m/s, 2

0.3 m/s

0.1 m/s2

Answers

Answer:

a = 0.1 [m/s²]

Explanation:

To solve this problem we must use the following equation of kinematics.

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

Vf = final velocity = 0.8 [m/s]

Vo = initial velocity = 0.3 [m/s]

a = acceleration [m/s²]

t =  time = 5 [s]

[tex]0.8=0.3+a*t\\0.5 = 5*a\\a = 0.1 [m/s^{2}][/tex]

Which of the following is a personal decision that involves science?
A. Will vitamins help me sleep better?
B. Is it fun to ride a train across the country? C. Should I live in an apartment or a house?
D. Are black or white laptops better looking?​

Answers

A because its the only one that actually involves science

write down local units of mass?​

Answers

Answer:

Explanation: local unit of mass is kilogram

Question 2 of 5
This landform is on Mount Callaghan, British Columbia. It
formed as rocks slide down a steep cliff.
What directly led to this landform?

Answers

Answer:

Mass wasting

Explanation:

Took the test

Answer:

Mass wasting

Explanation:

because

If an object accelerates from rest, with a constant of 8 m/s2, what will its velocity be after 35s?

Answers

Answer:

Its speed will be 280 m/s

Explanation:

Constant Acceleration Motion

It's a type of motion in which the speed of an object changes by an equal amount in every equal period of time.

If a is the constant acceleration, vo the initial speed, vf the final speed, and t the time, vf can be calculated as:

[tex]v_f=v_o+at[/tex]

The object accelerates from rest (vo=0) at a constant acceleration of [tex]a=8\ m/s^2[/tex]. The final speed at t=35 seconds is:

[tex]v_f=0+8*35[/tex]

[tex]v_f=280\ m/s[/tex]

Its speed will be 280 m/s

A plane is traveling at a velocity of 90 m/s. It accelerates at a constant rate of 1.5 m/s​2 until its velocity reaches 500 m/s. What distance did the plane cover while it was accelerating?

Answers

Answer:

The distance the plane covered while it was accelerating is 80,633.3 m

Explanation:

Given;

initial velocity of the plane, u = 90 m/s

acceleration of the plane, a = 1.5 m/s²

final velocity of the plane, v = 500 m/s

The distance covered by the plane is given as;

v² = u² + 2ad

where;

d is the distance covered by the plane;

500² = 90² + 2(1.5)d

500²  - 90² = 3d

241900 = 3d

d = 241900 / 3

d = 80,633.3 m

Therefore, the distance the plane covered while it was accelerating is 80,633.3 m

A 45kg skater and a 60kg skater are standing still, holding hands on frictionless ice. They push away from each other in opposite directions. If the 45kg skater was measured traveling at 3.5 m/s, how fast was the 60 kg skater traveling?

Answers

Answer:

The 60 kg skater is traveling at 2.63 m/s in the opposite direction from the 45 kg skater.

Explanation:

The velocity of the 60 kg skater can be found by conservation of linear momentum:

[tex]P_{i} = P_{f}[/tex]

[tex]m_{a}v_{i_{a}} + m_{b}v_{i_{b}} = m_{a}v_{f_{a}} + m_{b}v_{f_{b}}[/tex]  (1)

Where:

[tex]m_{a}[/tex]: is the mass of the first skater = 45 kg        

[tex]m_{b}[/tex]: is the mass of the second skater = 60 kg        

[tex]v_{i_{a}}[/tex]: is the initial speed of the first skater = 0 (he is standing still)

[tex]v_{i_{b}}[/tex]: is the initial speed of the second skater = 0 (he is standing still)

[tex]v_{f_{a}}[/tex]: is the final speed of the first skater = 3.5 m/s

[tex]v_{f_{b}}[/tex]: is the final speed of the second skater =?

By replacing the above values into equation (1) and solving for [tex]v_{f_{b}}[/tex] we have:

[tex]0 = m_{a}v_{f_{a}} + m_{b}v_{f_{b}}[/tex]

[tex]v_{f_{b}} = \frac{-m_{a}v_{f_{a}}}{m_{b}} = \frac{-45 kg*3.5 m/s}{60 kg} = -2.63 m/s[/tex]

The minus sign is because the 60 kg skater is moving in the opposite direction from the other skater.

Therefore, the 60 kg skater is traveling at 2.63 m/s in the opposite direction from the 45 kg skater.

I hope it helps you!

Please answer:
Galileo, in order to measure the speed of light, performed this simple
experiment: He and his assistant each took a lantern that had a shutter in front of it,
and stood on hilltops one mile apart in the night.
Galileo was to flash his lantern, and the assistant was to open the shutter of his own
lantern as soon as he saw the light from Galileo's lantern. Galileo had planned to
measure the time taken for light to travel from one hill to the other and back, and
calculate the speed of light using the formula, Speed = distance traveled / time
taken But he could not measure the speed of light using this method. What could
have been the reason for this?
A. The distance between the two hills was too much for them to see the light from
the other person's lantern.
B. Light does not travel in straight lines and so the distance traveled by it cannot
be measured.
C. The time taken for the light to travel would have been too little to have been
measured by them.
D. Light does not travel because it is present everywhere, so its 'speed' cannot be
calculated
I asked this question before also please answer

Answers

Answer: C. The time taken for the light to travel would have been too little to have been  measured by them.

Explanation:

Light travels at a speed of 300,000 km per second which is much too fast for the naked eye to even comprehend. This is why light shinning in a distance is picked up instantaneously by out eyes.

This experiment done by Galileo would therefore be unable to measure the speed of light because the light from either lantern would have traveled too fast for Galileo to be able to measure the time taken.

A sled is pushed to right with a force of 200 N. The force of friction opposing that motion is 50 N. a) What is the Net Force on the sled? b) assuming the mass of the sled is 30 kg, use Newton's 2nd Law equation to determine the acceleration. Include units in BOTH of your answers! *

Answers

Answer:

Fr = 150 [N]

a = 5 [m/s²]

Explanation:

In order to find the resulting force, we must assume that the thrust force is positive to the right, while the friction force is negative to the left.

[tex]F_{r}=200-50\\F_{r}=150[N][/tex]

Now Newton's Second Law tells us that the sum of the forces or the resulting force is equal to the product of mass by acceleration.

F = m*a

[tex]150 = 30*a\\a=150/30\\a = 5 [m/s^{2} ][/tex]

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