A block slides down an incline plane that makes a 30 degree angle with the
horizontal. If the coefficient of kinetic friction is 0.3. Calculate the acceleration of the block.

Answers

Answer 1

Hi there!

We know that:

Force due to gravity = Mgsinθ

Force due to friction = μMgcosθ

Let the positive direction be directed in the direction of the block's acceleration, which is downward.

Thus:

ΣF = Mgsinθ - μMgcosθ

Solving for acceleration requires diving all terms by the mass, so:

a = gsinθ - μgcosθ

Substitute in given values. (g = 9.8 m/s²)

a = 9.8sin(30) - 0.3(9.8)cos(30) = 2.354 m/s²


Related Questions

.5A and 4.5V what’s the resistance

Answers

Explanation:

[tex]V = IR \Rightarrow R = \dfrac{V}{I}[/tex]

Plugging in the numbers, we get

[tex]R=\dfrac{4.5\:\text{V}}{0.5\:\text{A}} = 9.0[/tex] ohms

A baseball is hit so that it travels straight upward after being struck by the bat. If its initial velocity is 29 m/s , then what is the maximum height that it will reach?

Answers

Answer:

Explanation:

Use kinematic equation v² = u² + 2as

Rearrange for distance

s = (v² - u²) / 2a

Realize that at the top of its flight, the ball has zero velocity and gravity is acting downward in an assumed upward positive reference frame.

s = (0² - 29²) / (2(-9.8))

s = 42.90816...

s = 43 m

Find the speed required to throw a ball straight up and it return 6 seconds later. Neglect air resistance

Answers

Answer:

the ball will go up 3s and down 3s

v=gt

where t=3s and g=9.8m/s^2

distance=v0(t)+(1/2)gt^2

where initial velocity (v0)=0

Explanation:

The speed required to throw a ball straight up and returns 6 seconds later would be 29.43 meters/seconds.

What are the three equations of motion?

There are three equations of motion given by Newton,

v = u + at

S = ut + 1/2×a×t²

v² - u² = 2×a×s

As given in the problem we have to find the speed required to throw a ball straight up and it returns 6 seconds later,

S = ut + 1/2*a*t²

0 = u×6 + 0.5×(-9.81)×6²

0 = 6u - 176.8

6u = 176.8

u = 176.8/6

u = 29.43 meters / seconds

Thus, the speed required to throw a ball straight up and returns 6 seconds later would be 29.43 meters/seconds.

To learn more about equations of motion here, refer to the link;

brainly.com/question/5955789

#SPJ5

At which location does the South Pole receive 24 hours of daylight?

Answers

below the Antarctic Circle.

Below the Antarctic Circle I think

The weather that characterizes an area is the O latitude of that area O barometric pressure of that area climate of that area O geography of that area​

Answers

Answer:

climate of that area

Explanation:

Which of the following is correct about the time period of a pendulum, whose length (length of thread) is 2 m and mass of whose bob (metallic ball) is 2 kg, when it is set in motion?

Answers

Answer:

P = 2 * pi * (L / g)^1/2        period of simple pendulum

P = 6.28 * (2 / 9.8)^1/2 = 2.84 sec

Select the correct answer.
The motion of a car on a position-time graph is represented with a horizontal line. What does this indicate about the car's motion?
OA
It's not moving
ОВ.
It's moving at a constant speed.
OC. It's moving at a constant velocity.
OD. It's speeding up.
Reset
Next

Answers

Answer:

A.It’s not moving.

Explanation:

Position-Time graphs display the motion of a object by showing the changes of velocity with respect to time.

The motion of a car on a position-time graph that is represented with a horizontal line indicates that the car has stopped moving.

A straight line with a positive slope indicates that the car is moving at a constant velocity, and thus the slope is constant. On the other hand, a curve with a changing slope, shows that the velocity is changing.

a: ob is the correct answer it’s not going to be moving

Explain why two acetate rods, both charged with silk repel

Answers

Two acetate rods, both charged with silk would repel because they are both have positively charged electrons.

Explanation: Opposite charges attract. Like charges repel.

In which device is chemical energy transformed into electrical energy?

A.
battery
B.
hair dryer
C.
television
D.
hydroelectric plant

Answers

Answer:

A) Battery

Explanation:

A Battery because it holds lithium whatever stuff and we can use to power our electronics (Chemical -> electrical)

Hair dryers (electrical-> kinetic)

Television ( Electrical -> ???)

Hydroelectric plant ( Kinetic -> electrical)

what causes a solid air fresher to lose mass and volume

Answers

Answer:

A solid air freshener loses mass and volume as a result of sublimation, where solid particles skip the liquid state and change directly from a solid to a gas. Sublimation requires that the particles in the solid state gain enough energy to immediately become a gas.

Explanation:

Hope this helps.

In a vacuum light travels at which speed?

Answers

Answer:

Light traveling through a vacuum moves at exactly 299,792,458 meters (983,571,056 feet) per second. That's about 186,282 miles per second

Explanation:

student measuring the mass of a rock recorded 6.759 g, 6.786 g, 6.812 g, and 6.779 g. which other measurment of the block mass would be most precise ?

Answers

Answer:   6.605

Explanation:

Ex 2) A cannon ball is shot straight up into the air with an initial velocity of 25 m/s[Up).
What is the maximum height of the cannonball?

Answers

Explanation:

S=(V^2-U^2)/2a a=g (gravity) a=10

=(0^2-25^2/2*(-10)

=625/20

=31.25m

Which of the following is the least important factor of a personal fitness program? A. the individual's personal conditions B. the availability of resources C. the level of motivation D. the time of day physical activity will be performed Please select the best answer from the choices provided. A B C D Mark this and return

Answers

Answer:

I think it's B

Explanation:

I think its trying to tell you that no matter who you are you could still do regular fitness but I don't know‍♀️

Two spherically symmetric planets with no atmosphere have the same average density, but planet B has twice the radius of planet A. A small satellite of mass mA has period TA when it orbits planet A in a circular orbit that is just above the surface of the planet. A small satellite of mass mB has period TB when it orbits planet B in a circular orbit that is just above the surface of the planet.

Answers

A period of a satellite is the time taken by the satellite to travel round a

body.

The comparison between the periods  [tex]T_B[/tex], and [tex]T_A[/tex] is [tex]\underline {T_B = \dfrac{\sqrt{2} }{4 } \cdot T_A}[/tex]

Reason:

The period, T, of a satellite is given as follows;

[tex]T = 2 \cdot \pi \cdot \sqrt{\dfrac{r^3}{G \cdot M} }[/tex]

Volume of the planet A = [tex]\dfrac{4}{3} \cdot \pi \cdot r^3[/tex]

Mass of planet A, [tex]m_A[/tex] = [tex]\dfrac{4}{3} \cdot \pi \cdot r^3 \times \rho[/tex]

Volume of the planet B = [tex]\dfrac{4}{3} \cdot \pi \cdot (2 \cdot r)^3 = \dfrac{32}{3} \cdot \pi \cdot r^3[/tex]

Mass of planet B, [tex]m_B[/tex] = [tex]\dfrac{32}{3} \cdot \pi \cdot r^3 \times \rho[/tex]

Period of the satellite on planet A, [tex]T_A[/tex], is given as follows;

[tex]T_A = 2 \cdot \pi \cdot \sqrt{\dfrac{r^3}{G \times \dfrac{4}{3} \cdot \pi \cdot r^3 \times \rho} } = 2 \cdot \pi \cdot \sqrt{\dfrac{1}{G \times \dfrac{4}{3} \cdot \pi \times \rho} }[/tex]

Period of the satellite on planet B, [tex]T_B[/tex], is given as follows;

[tex]T_B = 2 \cdot \pi \cdot \sqrt{\dfrac{r^3}{G \times \dfrac{32}{3} \cdot \pi \cdot r^3 \times \rho} } = 2 \cdot \pi \cdot \sqrt{\dfrac{1}{G \times \dfrac{32}{3} \cdot \pi \times \rho} }[/tex]

Therefore, get;

[tex]\dfrac{T_A}{T_B} = \dfrac{ 2 \cdot \pi \cdot \sqrt{\dfrac{3}{G \times 4 \cdot \pi \times \rho} }}{ 2 \cdot \pi \cdot \sqrt{\dfrac{3}{G \times 32 \cdot \pi \times \rho} }} = \sqrt{\dfrac{32}{4} } = \sqrt{8} = 2 \cdot \sqrt{2}[/tex]

Therefore, [tex]T_A[/tex] = (2·√2)·[tex]T_B[/tex]

[tex]T_B = \dfrac{T_A}{2 \cdot \sqrt{2} } = \dfrac{\sqrt{2} \cdot T_A}{4 }[/tex]

The comparison between [tex]T_A[/tex] and  [tex]T_B[/tex] is therefore;

[tex]\underline {T_B = \dfrac{\sqrt{2} }{4 } \cdot T_A}[/tex]

Learn more here:

https://brainly.com/question/1448749

A car’s velocity as a function of time is given by Vx (t) = α.t + β.t 2 , where α= 3m/s and β= 0.1m/s 3 . Calculate the average acceleration for the time interval

b) t= 5 to t = 10 s

Answers

The definition of average acceleration allows to find the result for the average acceleration in the given time interval is:

          [tex]a_{average}= 1.5 \ \frac{m}{s^2}[/tex]

Instantaneous acceleration is defined as the derivative of velocity with respect to time.

           a =   [tex]\frac{dv}{dt}[/tex]

Where a is the acceleration, v the velocity and t the time.

They indicate that the speed of the car is given by the relation.

          v = α t + β t²

With α = 3 m / s and β = 0.1 m / s³

Let's make  the derivative.

           a = α + 2β t

Let's substitute

            a = 3 + 2 0.1 t

Average acceleration is the change in velocity in the time interval.  

          [tex]a_{average} = \frac{\Delta v}{\Delta t }[/tex]

Let's find the velocity at the indicated time.

For t = 5 s

         v₅ = 3 + 0.1 5²

         v₅ = 5.5 m / s

For t = 10 s

          v₁₀ = 3 + 0.1 10²

          v₁₀ = 13 m / s

Let's calculate the average acceleration.

           [tex]a_{average} = \frac{13 - 5.5 }{ 10 - 5 }\\[/tex]

           [tex]a_{average}= 1.5 \ m/s^2[/tex]

In conclusion using the definition of mean acceleration we can find the result for the mean acceleration in the given time interval is:

           [tex]a_{average} =[/tex]  1.5 m / s²

Learn more here: brainly.com/question/20057878

A water rocket uses an amount of water and pressurized air to send a plastic rocket several feet into the air. As the water and air rush out the tail end of the rocket, the rocket shoots into the air. Which statement explains the rocket's motion?

Answers

Answer:

D.

For every action there is an equal and opposite reaction.

Explanation:

im doing the same one lol

For every action there is an equal and opposite reaction explains the rocket's motion.

What is rocket?

A rocket is indeed a vehicle that accelerates by employing jet propulsion rather than the surrounding air. A rocket engine generates thrust by reacting to high-speed exhaust. Since rocket engines run solely on fuel carried within the vehicle, a rocket may travel in space.

A water rocket uses an amount of water and pressurized air to send a plastic rocket several feet into the air. As the water and air rush out the tail end of the rocket, the rocket shoots into the air. For every action there is an equal and opposite reaction explains the rocket's motion.

Therefore, for every action there is an equal and opposite reaction explains the rocket's motion.

To learn more about rocket, here:

https://brainly.com/question/29070000

#SPJ2

A toy car on a string is pulled across a table horizontally. The string is at an
angle of 30°. Which is the correct free-body diagram for this situation?
EN
w
w
w
w
А
B
с
D
A. A
ОВ. В
ОО Ο Ο
O C. C
D. D

Answers

(C)

...........................

Answer:

Hope this helps!

Explanation:

can anyone heelp me pls pls

Answers

Answer: Liquid - Lotion

Suspension - Semisolid

Capsule - Solid

Explanation:

Give Brainliest if correct :)

Which statement is true

1) The phases of the moon are caused because sometimes the moon is in the Earth's
shadow

2) The phases of the moon is a result of the moon shinning different amounts of its own
light

3) We see different phases of the moon because the moon travels along its orbit around
the Earth and see different amounts of the illuminated half

4) We see different phases of the moon because different amounts of the moon is
illuminated by the sun

Answers

Answer:

I think the answer is option 3

In these images taken a few days apart, the light part of the Moon appeared to get smaller
over time. Why did this happen? (1)

a) The Moon moved farther away from the sun so less sunlight reached the Moon's
surface.

b) Earth moved so its shadow was blocking more of the Moon so the student astronomer
was able to see less of it.

c) The Moon rotated so that less of the light-colored rock on the Moon's surface faced
Earth

d) The Moon moved so that the student astronomer was able to see less of the half that
facer the sun

Answers

Answer:

Explanation:

d) The Moon moved so that the student astronomer was able to see less of the half that faced the sun.

A normal atom is electronically ** (positive/negative/neutral) because the number of ** (protons/neutrons/electrons), each with a positive charge, equals the number of ** (protons/neutrons/electrons), each with a negative charge.

The answers to multiple choice questions are in parentheses​

Answers

Answer:

(neutral)

(protons)

(electrons)

Explanation:

Electrons have a negative charge (-) while protons have a positive (+) charge.

Atoms will usually be neutral, which means that there will be no charge.

For an atom to have a neutral charge, protons and electrons must "cancel" each other out. For this to happen, you need to have the same amount of each.

Positive will "cancel" out the negative.

repost!! help need answer

Answers

Answer:

Ask a tutor it is tough

Ask tutor for your betterment

SEND HELP :<<

A meteor falls from the sky to the Earth. The meteor already had an initial velocity downward when it was spotted. If it hit the Earth at 335 m/s after being seen for 30 seconds, then what was the initial velocity of the meteor?

Answers

Answer:

335 - 30 g

Explanation:

V = Vo + g*T = 335

Vo + 9.8*30 = 335

Vo =

Which of the following statements about electromagnetic radiation it true? A.electromagnetic waves with long wavelength are more energetic then electromagnetic waves with short wavelength. B.all electromagnetic radiation carries the same amount of energy. C.electromagnetic radiation in a vacuum can change frequently to become more or less energetic. D.electromagnetic waves with high frequency are more energetic then electromagnetic waves with low frequency

Answers

Given what we know, we can confirm that option D,  Electromagnetic waves with high frequency are more energetic than electromagnetic waves with low frequency is true.

Why are high-frequency waves more energetic?

High-frequency waves are synonymous with short wavelengths. This means that the waves are oscillating much quicker and therefore carry more kinetic energy within them. This is transformed and released as electromagnetic radiation, which is the reason why high-frequency waves are more energetic than low-frequency electromagnetic waves.

Therefore, we can confirm that the statement "Electromagnetic waves with high frequency are more energetic than electromagnetic waves with low frequency" is true.

To learn more about electromagnetic waves visit:

https://brainly.com/question/3101711?referrer=searchResults

#SPJ1

Which of the following happens when a substance melts?

Answers

Answer:

hola como estas hablas español

Explanation:

Part A click listen to a single source and select audio enabled and listener on the right control panel increase the frequency of the sound wave to about 600 hertz using he slider on the right. What happens to the sound generated

Answers

Answer:

When the frequency of the wave is increased, the pitch of the sound increases; that is, he sound becomes sharper or higher.

Explanation: Just completed on Edmentum

The seat on a carnival ride is fixed on the end of an 12.60-m-long beam, pivoted at the other end. If the beam sweeps through an angle of 141°, what is the distance through which the rider moves?

Answers

The distance through which the rider at the end of the beam moves is;

L = 15.5 m

We are told that the beam on which the carnival ride is fixed is 12.6m in length.

Since the seat is at the end of the beam with the other end pivoted and the beam sweeps through an angle of 141°, then we can say that the radius of this arc formed by the swing is;

Radius; r = 12.6 m

Also, θ = 141°

The distance through which the driver moves will be the length of the arc formed by the beam at angle of 141°.

Formula for length of arc is given as;

L = 2πr(θ/360)

Plugging in the relevant values gives;

L = 2π × 12.6 × 141/360

L = 15.5 m

Read more at; https://brainly.com/question/22561081

What shape is the graph produced by a force vs acceleration graph?

A. Linear
B. Quadratic
C. Circular
D. Triangular

Answers

The answer to the question What shape is the graph produced by a force vs acceleration graph is A. Linear

Since Force, F = ma where m = mass and a = acceleration. For constant mass, F ∝ a. That is, F is directly proportional to acceleration, a.

Since this is a linear relationship, the graph of force vs acceleration will be linear.

The answer to the question What shape is the graph produced by a force vs acceleration graph is A. Linear

Learn more about graphs here:

https://brainly.com/question/24322515

How does our body get heat ? Explain in short .
For class 5 plz bro i need help​

Answers

Answer:

Thermogenesis:Your body's muscles, organs, and brain produce heat in a variety of ways

Explanation:

For example, muscles can produce heat by shivering. Hormonal thermogenesis: Your thyroid gland releases hormones to increase your metabolism. This increases the energy your body creates and the amount of heat it produces

Other Questions
Which of the following does Aeneas NOT OBSERVE in the Aeneid? A - the destruction of the city of Troy B - the death of Polites and Priam C - Bringing the wooden horse into the city D - The Greeks defeat Polyphemus 3 positive interaction between Christianity and Muslims during the Crusade 1,200 plus what equals what?? Is -92.41 an integer I know I know I know I know _27. Why did union membership decline during the 1920s?Select the two correct answers.A) Immigrants were not allowed to join unions.B) Most African Americans were excluded from unions.C) Unions did not have any success in improving working conditions.D) It was difficult to organize members who spoke different languages.E) The government passed policies that encouraged union advocates.OS:or who created an advanced system of writing Find x Please Help Thank You Which of the following is an example of fingerspelling? signing the letters A-P-P-L-E when talking about an apple using sign language signs that cause your fingers to be pointed outward drawing pictures of English letters in the air to non-ASL speakers asking a non-ASL speaker to write out a word in the air write an expression to show the total volume of the two boxes i-ready C. Identify and Explain the effects of technology and innovation on the Chinese Economy. What reason does Senator Beveridge give for Chinas importance to the United States? The United States could establish colonies in China. China would supply the United States with valuable resources. China would be the best market for American-made goods in the future. how much do players get fined for giving away a football Can people survive without technology?As technology advances, does technology become more or less complex? As technology advances, do the things we make, become: more reliable? Safer? More durable? Perform better?As technology advances, does it require more or fewer science and math applications? Somebody help me with this how to do this question ? can anyone help me urgent Find the equation of the linear function represented by the table y 6 9 12 15 x 1 2 3 4 How long would it take you to travel 163 meters at a speed of 33 meters per second? What was the reasoning of the United States government for placing thousands of Japanese Americans into internment camps? A. Japanese Americans were quarantined to prevent a small pox outbreak. B. The U.S government wanted to train Japanese Americans to fight in the war. C. The U.S. government wanted to offer protection to Japanese Americans. D. Many Americans were concerned about the loyalty of Japanese Americans. Nina reads folk tales. They are international