Consider an object of mass 2kg on a ramp with βs=0.5 and βk=0.4.
If we keep increasing the ramp angle, what is the angle() that the object starts to move downward? Give your answer in degree with 1 decimal place.

Consider An Object Of Mass 2kg On A Ramp With S=0.5 And K=0.4.If We Keep Increasing The Ramp Angle, What

Answers

Answer 1

If we keep increasing the ramp angle, the angle that the object starts to move downward is 26.6°

To find the ramp angle, we need to know the forces acting on the mass on the ramp.

Forces acting on the mass on the ramp.

Since the mass will just start to move, the force acting on the mass in the horizontal direction is the horizontal component of its weight in that direct. So, F = mgsinθ. where θ = ramp angle

The force acting on the mass in the vertical direction is the vertical component of its weight, F' = mgcosθ where θ = ramp angle

For the mass to just start to move downwards, the horizontal component of its weight must equal the static frictional force, f on it.

F = f

Since f = μN where

μ = coefficient of static friction = 0.5 and N = normal force = F' = mgcosθ

So, F = f

mgsinθ = μmgcosθ

Dividing through by mgcosθ, we have

mgsinθ/mgcosθ = μmgcosθ/mgcosθ

sinθ/cosθ = μ

μ = tanθ

The ramp angle at which the object starts to move downward

So, the angle at which the object starts to move downward is

θ = tan⁻¹μ

Since μ = 0.5

θ = tan⁻¹0.5

θ = 26.57°

θ ≅ 26.6°

So, the angle at which the object starts to move downward is 26.6°.

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Related Questions

Above is an image of people waiting at the train station to get on the incoming train. As the train slows down to stop, is it accelerating? Why or why not?
The definition of acceleration states that an object accelerates when it______, ______, or changes.
what are the missing words?​

Answers

Explanation:

Acceleration is a vector quantity which is defined as the rate at which an object changes its velocity

7. What is the radius of an \alpha particle?

Answers

rxcuobudbbgvd CT I ng a ubjnr. hbgvw

Mr. McSparin can walk one mile in 0.25 hours. Calculate his velocity.

Answers

Answer:

4 mph

Explanation:

velocity =   miles divided by time =  miles/time

             =   1 mile / .25 hr   = 4 mph

An object is placed 15.0 cm to the left of a double-convex lens of focal length 20.0 cm. The image of this object is located.​

Answers

The image of this object is located at -60 cm. The formula for the mirror equation is used in the given problem.

What is a mirror equation?

A mirror equation is an equation that relates object distance and image distance to focal length.

The given data in the problem is;

Image distance (u) = 15 cm

Object distance (v) = ?

f is the mirror's focal length=20 cm

The mirror equation is given as;

[tex]\rm \frac{1}{v} +\frac{1}{u} =\frac{1}{f} \\\\ \rm \frac{1}{v} =\frac{1}{20} -\frac{1}{15} \\\\ \frac{1}{v} = 0.01666 \\\\\ v=-60 \ cm[/tex]

Hence, the image of this object is located at -60 cm.

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Please help!! Look at pic

Answers

Answer:

Explanation:

Voltage and Current relation is given by V=IR
I=9A

R=4Ohm

V=IR
V=9x4=36Volts

Resistance = 4 Ohm

Current = 9 Ampere

Voltage = 36 Volts

(100 POINTS AND BRAINLIEST)
Atoms form chemical bonds using:
a. electrons in the innermost energy level
b. electrons in the outermost energy level
c. protons and electrons

Answers

Answer:

electron in the outermost

Explanation:

These are the electrons available for bonding or transfer

  protons do are not involved in actual bonding

Answer:

b

Explanation:

Atoms form chemical bonds using electrons in the outermost energy level, otherwise known as valence electrons.

For atoms to bond, they must either gain or lose electrons.

By gaining electrons, the atom attains a negative charge.

By losing electrons, the atom attains a positive charge.

When astronomers look at stars outside of our galaxy, they have noticed that the color of the stars appears to be shifted slightly to the red end of the visible spectrum; this means that the wavelength of the light coming from those distant stars is longer than expected. If this red shift is assumed to be caused by the relative motion of the stars, what does that tell us about their movement?

They are moving toward the Earth.
They are moving away from the Earth.
They are not moving relative to the Earth.
Both the Earth and the star are stationary.

Answers

Answer:

moving away

Explanation:

They are moving AWAY from earth making the wavelengths longer than what was emitted....this is called 'Red Shift'.... longer waves is a shift toward the RED end of the spectrum ..   (ROY G BIV)

what is the distance of a car travels is its velocity is 30 mph and its time is 2 hours ?

Answers

Answer:

distance = 60 miles

Explanation:

The horizontal surface on which the block slides is frictionless. The speed of the block before it touches the spring is 5.0 m/s. How fast is the block moving at the instant the spring has been compressed 15 cm? The spring constant k = 2000 N/m.

Answers

The block moving at instant the spring is compressed 15cm is  √[(25m - 45)/m]

What is conservation of energy principle?

When there is no external force acting on the system, the total mechanical energy remains conserved.

K.E i = K.E f + SPE

1/2 mu² =1/2 mv² + 1/2 kx²

Substitute u = 5m/s, k =2000N.m and x =0.15m, we get the final velocity

1/2 mu² =1/2 mv² + 1/2 kx²

v =√[(25m - 45)/m]

Thus, the block moving at the instant the spring has been compressed 15 cm is √[(25m - 45)/m]

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Venus and Earth may be regarded as behaving as black bodies. The mean temperature at the surface of Venus is about 600 K and at the surface of Earth is about 300 K. Which of the following is the best estimate for the ratio \frac{\text{power radiated per unit area on Earth}}{\text{power radiated per unit area onVenus}} power radiated per unit area onVenus power radiated per unit area on Earth ​

Answers

The best estimate for the ratio of Power radiated per unit Area on Earth and Power radiated per unit Area on Venus is 1/16. The correct option is D.

What is power radiated?

Power radiated is directly proportional to the fourth power of Temperature at the surface and also to the cross-section area.

P = σ A T⁴

For 600 K at Venus, σ A T⁴ = σ A (600)⁴

For 300 K at Earth , σ A T⁴ = σ A (300)⁴

Comparing, we get

[σ A (300)⁴/ σ A (600)⁴ ] = 1/16

Thus, the the best estimate for the ratio is 1/16. The correct option is D.

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Why is impulse and momentum important in sports like cricket??

Answers

IMPULSE AND MOMENTUM

==============================

[tex] \large \sf \underline{Question:}[/tex]

Why is impulse and momentum important in sports like cricket??

==============================

[tex] \large \sf \underline{Answer:}[/tex]

Impulse and momentum are important in sports like cricket because from the word "momentum" it describe itself like you're getting used of it or you know what to do like there's no stopping you.

==============================

How are impulse and momentum related?

brainly.com/question/2193212brainly.com/question/904448

==============================

Question 9
2 pts
At a stop light, a truck traveling at 15 m/s passes a car as it starts from rest. The truck travels at
constant velocity and the car accelerates at 3 m/s². How much time does the car take to catch up
to the truck?
O 15 s
O 10 s
05 s
O 25 s
20 s

Answers

the car take to catch up to the truck =  same distance

d truck = d car

vt = vot+1/2 at² (vo=0, from rest)

vt = 1/2at²

15t=1.5t²

1.5t²-15t=0

t(1.5t-15)=0

t = 0 or

1.5t=15⇒ t=10 s

a flashlight bulb with a 6.00 resistor uses 18.0W of power. What is the current through the bulb
a. I= 2.00A
b. I=3.00A
c. I=1.73A
d. I =0.333A

Answers

We need voltage first

P=V²/RV²=PRV²=18(6)V²=108V=√108V=10.4V

Apply oHMS law

V/I=RI=V/RI=10.4/6I=1.73A

Answer:

c. I = 1.73A

Explanation:

The formula for power :

P = VI

The formula for potential difference :

V = IR

Calculating P by inputting the formula of V :

P = (IR)(I)P = I²R

Solving using the given values :

18 = I² x 6I² = 3I = √3I = 1.73A

Why do the other bulbs go dark when one bulb is removed in the series circuit but the other bulbs do not go dark when one bulb is removed in the parallel circuit?

Answers

Answer:

I think this

One bulb burning out in a series circuit breaks the circuit. In parallel circuits, each light has its own circuit, so all but one light could be burned out, and the last one will still function.

If the gravitational force disappeared , Earth would break away from its orbit and continue travelling in a ..............line into space.

Answers

A straight line into space.

Without the sun’s gravitational force, earth would not continue its elliptical orbit around the sun. All of the planets would travel in a straight line away from the sun if not for its strong gravitational pull.

Determine the CM of the uniform thin L-shaped construction brace shown in (Figure 1) . Suppose that a = 2.20 m and b = 1.63 m Determine the x coordinate of the CM

Answers

By weighted average method, the x-coordinates of the center of mass of the compound figure, the uniform thin L-shaped construction brace is [tex]\bar x = \frac{1.10\cdot m_{A}+2.10\cdot m_{B}}{m_{A}+m_{B}}[/tex] meters.

How to determine the coordinates of the center of mass of a compound figure

Let suppose that the entire construction has a uniform mass, then the coordinates of the center of mass can be determined by definition of weighted average:

[tex]\bar x = \frac{\sum \limits_{i = 1}^{n}x_{i}\cdot m_{i}}{\sum \limits_{i=1}^{n}m_{i}}[/tex]     (1)

[tex]\bar y = \frac{\sum \limits_{i = 1}^{n}y_{i}\cdot m_{i}}{\sum \limits_{i=1}^{n}m_{i}}[/tex]     (2)

If we know that a = 2.20 m and b = 1.63 m, then the x-coordinates of the center of mass of the compound figure is:

[tex]\bar x = \frac{1.10\cdot m_{A}+2.10\cdot m_{B}}{m_{A}+m_{B}}[/tex]

By weighted average method, the x-coordinates of the center of mass of the compound figure, the uniform thin L-shaped construction brace is [tex]\bar x = \frac{1.10\cdot m_{A}+2.10\cdot m_{B}}{m_{A}+m_{B}}[/tex] meters.

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PLEASE ANSWER ASAP FOR 75 POINTS!!!!

Answers

λ = c : f

λ = 3 x 10⁸ : 1.05 x 10⁸

λ = 2.86 m

E = hf

h = Planck's constant (6.626.10⁻³⁴ Js)

E = 6.626.10⁻³⁴ x 2.86

E = 1.896 x 10⁻³³ J

λ = 3 x 10⁸ : 1.011 x 10⁸

λ = 2.97 m

E = hf

h = Planck's constant (6.626.10⁻³⁴ Js)

E = 6.626.10⁻³⁴ x 2.97

E = 1.97 x 10⁻³³ J

λ = 3 x 10⁸ : 1.05 x 10⁸

λ = 2.96 m

E = hf

h = Planck's constant (6.626.10⁻³⁴ Js)

E = 6.626.10⁻³⁴ x 2.96

E = 1.96 x 10⁻³³ J

What is the wavelength of radiation with a frequency of 1.50 x 1013 s-1

Answers

Answer:

[tex]2 \times 10^{-5}\ m[/tex]

Explanation:

[tex]v = f \lambda[/tex]

velocity of wave = frequency x wavelength

I'll assume we're talking about EM radiation here, which is any kind of light (microwave, ultraviolet, visible, etc.).

Every type of EM radiation has the same velocity — the speed of light.

Speed of light, known as [tex]c[/tex] — 300 000 000 = [tex]3 \times 10^8[/tex]

velocity: [tex]c = 3 \times 10^8[/tex] [tex]ms^{-1}[/tex]

frequency: [tex]f = 1.5 \times 10^{13}[/tex] [tex]\text{Hz}[/tex]

wavelength: [tex]\lambda =\ ?[/tex] [tex]m[/tex]

[tex]v = f \lambda\\3 \times 10^8 = 1.5 \times^{13}\ \times \ \lambda\\\text{rearrange for}\ \lambda\\\lambda = \frac{3 \times 10^8}{1.5 \times 10^{13}} = 2 \times 10^{-5}[/tex] [tex]m[/tex]

What distance does the car travel in the 3 seconds?

Answers

What car? You have to be more specific, is their supposed to be a photo?

the only state of matter that is not a fluid is

Answers

Answer:

maybe the answer is solid state

A state of matter that is not a fluid is solid

Scientists use equations to model how fast a rocket needs to go to launch a satellite into orbit. What is a limitation of this model?

Answers

A limitation of this model is that it can't be tested practically in order to check its validity.

What is a model?

Models are representations of scientific data that can help in defining, analyzing, and communicating many concepts. These models are developed in order to do analysis, specification, design, verification, and validation of a system.

So we can conclude that a limitation of this model is that it can't be tested practically in order to check its validity.

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Before Schwarzschild, the understanding of relativity to gravitational force was unknown.

t or f

Answers

Answer:

False

Explanation:

1. An athlete runs 18 Kilometers in 2.5 hours, bicycles 150 Km in 4 hours, swims 10 Km in 3 hours.
Calculate:
a) the average speed for each leg of the triathlon
b) the average speed for the entire competition

Answers

The average speed is 18.73 km/hour.It is found as the ratio of the total distance and the total time taken.

What is the average speed?

The total distance traveled by an object divided by the total time taken is the average speed.

The average speed of an object indicates the pace at which it will traverse a distance. The metric unit of speed is the meter per second.

The given data in the problem is;

Distance (d₁) = 18 Kilometers

Time (t₁) =  2.5 hours

Distance (d₂) = 150 Km

Time (t₂)= 4 hours

Distance (d₃) =10 Km

Time (t₃)=3 hours.

The average speed is found as;

[tex]\rm v_{avg}= \frac{Total \ distance }{Total \ time } \\\\ V_{avg}=\frac{18+150+10}{2.5+4+3} \\\\ v_{avg}= 18.73 \ km/hours[/tex]

Hence, the average speed is 18.73 km/hour.

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What is the Einstein Rosen Bridge Theory? Is it possible why or why not? (IN YOUR OWN WORDS ANYTHING ELSE WILL BE DELETED)

Answers

That states that the blackhole ends are working like bridges between one space to another.

And you can travel through them in 5-10s The distance is thousands of lightyears but we can travel it..

This may be possible


Which of the following is a physical change?
sawing a piece of wood in half
O burning a piece of wood
O a copper statue turning from red to green
Orust forming on an iron fence

Answers

Answer:

I think its 'sawing a piece of wood in half'

Explanation:

sry if its wrong

Newtons second law in words??​

Answers

Answer:

The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object

Explanation:

it's newton's second law

The farther away you are from a light source, the _____ intense it appears

Answers

Answer:

The answer is Less.

Explanation:

The further you are away from a light source, the less intense the light appears.

An object with a mass of 10 kg is
dropped at the same time as an object with a mass of 100 kg. Assuming both objects are in free fall, explain how they will fall in comparison to one another.

Answers

Answer:

See below

Explanation:

They will fall at the same speed .....they will stay together if we ignore air friction

Which option is it pls help

Answers

Answer:

3.74 x 10^12  electrons

Explanation:

.6 x 10^-6 C *  1/( 1.60218 x 10^-19)   e /C

  = 3.74  x 10^12   electrons

what are loops and its types

Answers

Answer:

A for loop is a loop that runs for a preset number of times. A while loop is a loop that is repeated as long as an expression is true. An expression is a statement that has value. A do while loop or repeat until loop repeats until an expression becomes false.

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