A wooden block of mass m is placed on a horizontal aluminum ramp. The angle of
the ramp is slowly increased to 10.8° above the horizontal, at which point the
mass slides down the ramp with constant speed.
Determine the coefficient of kinetic friction, %, between the wooden block and
the aluminum ramp.
Write your answer to 2 significant figures.

(a) The speed of the student at the bottom of the hill is 15.34 m/s.

(b) The speed of the student at the presence of friction force is 11.88 m/s.

The speed of the student at the bottom of the hill is calculated by applying the principle of conservation of energy as shown below.

Kinetic energy at the bottom hill = potential energy at maximum height

¹/₂mv² = mgh

where;

v² = 2gh

v = √2gh

v = √(2 x 9.8 x 12)

v = 15.34 m/s

The speed of the student at the presence of friction force is calculated as;

Kinetic energy at the bottom hill + work done against friction  = potential energy at maximum height

¹/₂mv² + μmgh = mgh

¹/₂v² + μgh = gh

v²  +  2μgh = 2gh

v² = 2gh - 2μgh

v² = (2 x 9.8 x 12) - (2 x 0.4 x 9.8 x 12)

v² = 141.12

v = √141.12

v = 11.88 m/s

Learn more about speed at bottom hill here: https://brainly.com/question/77000

#SPJ1

The average acceleration of the hybrid automobile is 0.42 m/s².

The distance travelled by the hybrid automobile during the period of acceleration is 34.5 m.

The average acceleration of the hybrid automobile is the rate of change of velocity of the hybrid automobile with time.

Mathematically, the formula for average acceleration is given as;

a = Δv/Δt

where;

a = (v - u)/t

where;

a = (5.56 - 1.389)/10

a = 0.42 m/s²

The distance travelled by the automobile during the period of acceleration is calculated as follows;

v² = u² + 2as

2as = v² - u²

s = (v² - u²)/(2a)

s = (5.56² - 1.389²) / (2 x 0.42)

s = 34.5 m

Learn more about average acceleration here: https://brainly.com/question/26246639

#SPJ1

Answer:

35.2 AU

Explanation:

Kepler's Third Law states that the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit.

[tex]\boxed{T^2 \propto a^3 \implies T^2=ka^3}[/tex]

Kepler's Third Law

[tex]T^2=\dfrac{4 \pi^2}{GM}a^3[/tex]

where a is the semi-major axis of the ellipse.

If expressed in the following units:

then:

[tex]\implies\dfrac{4 \pi^2}{GM}=1[/tex]

Therefore Kepler's Third Law can be expressed as:

[tex]\boxed{T^2=a^3}[/tex]

Given:

From inspection of the given diagram:

[tex]\implies 2a=x+0.57[/tex]

[tex]\implies a=\dfrac{x+0.57}{2}[/tex]

Substitute these values into the equation and solve for x:

[tex]\implies (75.6)^2=\left(\dfrac{x+0.57}{2}\right)^3[/tex]

[tex]\implies (75.6)^\frac{2}{3}=\dfrac{x+0.57}{2}[/tex]

[tex]\implies 2(75.6)^\frac{2}{3}=x+0.57[/tex]

[tex]\implies x=2(75.6)^\frac{2}{3}-0.57[/tex]

[tex]\implies x=35.1883819...[/tex]

[tex]\implies x=35.2\; \text{AU}[/tex]

Answer:

seismic waves

Explanation:

Answer:

Explanation:

p₁ = m₁·V₁ = 6300·0.11 = 693 kg·m/s

p₂ = m₂·V₂ = 50·10.4 = 520 kg·m/s

693 kg·m/s > 520 kg·m/s

0.212 m/s²  is the average acceleration of the treadmill.

during this period

initial velocity, u = -1.2 m/s

time= 25 min

final velocity, v=  −6.5 m/s

acceleration = (v-u)÷ t

acceleration =5.3/25

acceleration =0.212 m/s²

The rate at which an item changes its velocity is known as acceleration, a vector variable. If an object's velocity is changing, it is accelerating. A moving object can occasionally alter its velocity by the same amount every second. a moving object that changes its speed by 10 m/s per second. Since the velocity is changing by a fixed amount every second, this is known as a constant acceleration. It is important to distinguish between an item with a constant acceleration and one with a constant velocity. Be not deceived! An object is accelerating if its velocity is changing, whether by a fixed amount or a variable quantity. Additionally, a moving item with a constant speed is not accelerating.

To know more about  acceleration visit : brainly.com/question/3046924

#SPJ9

Answer:hope this helpsss

Explanation:

A permanent magnet that is always aligned with the magnetic field of the earth makes up the magnetic needle of a magnetic compass, which is used for navigation.

The magnetic field is produced by an electric current in an electromagnet. Because they are transient magnets, electromagnets lose their magnetic properties as soon as the current is interrupted.

The radial acceleration of the blade tip is  1370 g rad/s².

Radial acceleration is defined as "the acceleration of the object is along the radius, directed towards the center" in uniform circular motion.

Given parameters:

Rotational speed of the helicopter rotor: ω = 600 rev/min

= 600 × 2π/60 rad/min.

= 20π rad/min.

Length of the blade: r = 3.4 m.

Then,   the radial acceleration = ω²r = (20π)²× 3.4 rad/s².

= {(20π)²× 3.4}/9.8 g rad/s².

= 1370 g rad/s².

Hence,  the radial acceleration of the blade tip is  1370 g rad/s².

Learn more about radial acceleration here:

https://brainly.com/question/3388038

#SPJ1

Answer: D: 136 N

..

..

42 times must he repeat this exercise to burn off the energy in one slice of pizza.

What is energy?

Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.

Energy burn by the weightlifter = potential energy

Potential energy = mgh

Potential energy = 25.(9.8)(0.50)

Potential energy = 122.5 Joule.

Assume 25% of efficiency so energy burn = 122.5*25/100

energy burn = 30.625 joule

Number of times = 1260/30.625

Number of times = 42 times.

42 times must he repeat this exercise to burn off the energy in one slice of pizza.

To learn more about energy refer to the link:

brainly.com/question/1932868

 #SPJ1

Answer:

The force of friction and air resistance slow down the movement of the bus.

c) A forse is changing the motion of the bus

The coefficient of static friction needed for a drag racer to cover the given distance is 1.27.

The magnitude of the acceleration of the slipping tires is calculated by applying the kinematic equation for average distance travelled by the slipping tires as shown below.

s = ut + ¹/₂at²

where;

s = 0 + ¹/₂at²

s = ¹/₂at²

at² = 2s

a = 2s/t²

a = (2 x 1,400 m) / (15 s)²

a = 12.44 m/s²

The coefficient of static friction needed for a drag racer to cover the given distance is calculated as;

μ = a/g

where;

μ = 12.44 / 9.81

μ =  1.27

Learn more about coefficient of static friction here: https://brainly.com/question/25050131

#SPJ1

The total current that is drawn from the mains supply is 5 A.

The term current has to do with the flow of charges in a circuit. Now we have been told that A set of lights consists of 20 lamps connected in series to the 230 V mains electricity supply. It was also said in the question that when the lights are switched on and working correctly, the current through each lamp is 0.25 A.

Now we have the following information;

Current passing through each lamp = 0.25 A

Number of lamps = 20 lamps

Hence;

Total current = 0.25 A * 20

= 5 A

Learn more about current:https://brainly.com/question/23323183

#SPJ1

Science employs technology to create new discoveries, while technology uses science to address problems. Science and technology, however, pursue distinct objectives. Science seeks to provide answers and advance knowledge. The purpose of technology is to resolve real-world issues. Despite having differing objectives, science and technology coexist and support one another. For the development of new technologies like the space telescope, scientific knowledge is used.

There are numerous such instances that demonstrate how science and technology may collaborate.

The microscope is one instance. Galileo might have created it at the same time as the telescope. The development of the microscope was based on scientific understanding of light and lenses, just like the development of the telescope.

How do you believe the development of the microscope aided in the advancement of science?

The microscope enabled researchers to see a universe of microscopic things they had never seen before. Numerous significant scientific advancements resulted from it, including the identification of cells—the fundamental constituents of all living things.

Therefore, science and technology help each other evolve and develop.

To learn more about science and technology, click on link below

https://brainly.com/question/871094

#SPJ1

With the use of formulas, the maximum height reached by the cannonball is 635.4 meters

The motion of an object under gravity is the vertical motion of the object under the influence of acceleration due to gravity.

If I shoot a cannonball (m = 4.5 kg) straight up from a cannon that exerts a force of 7000 N through a barrel length of 4.00 meters, the acceleration of the cannonball in the barrel can be calculated by using the formula

F = ma

Where

Substitute all the parameters into the formula

7000 = 4.5a

a = 7000/4.5

a = 1555.6 m/s²

By using the below formula, we will find the velocity at which the ball leaves the barrel.

Where

v² = u² + 2as

v² = 0 + 2 × 1555.6 × 4

v² = 12444.4

v = √12444.4

v = 111.6 m/s

The same speed will be the initial velocity at the entrance of the barrel. How high will the cannonball go can be known by using the formula

v² = u² - 2gH

Where

Substitute all the parameters into the formula

0 = 111.6² - 2 × 9.8 × H

19.6H = 12454.56

H = 12454.56/19.6

H = 635.4 m

Therefore, the cannonball will go as high as 635.4 m

Learn more about Vertical Motion here: https://brainly.com/question/24230984

#SPJ1

Answer:sin40∘=0.643) Hint: The relationship of angle of incidence and angle of refraction at interface of two media is given by Snell's law.

Explanation:

Answer:

hydrogen

Explanation:

The Sun is a huge, glowing sphere of hot gas. Most of this gas is hydrogen (about 70%) and helium (about 28%). Carbon, nitrogen and oxygen make up 1.5% and the other 0.5% is made up of small amounts of many other elements such as neon, iron, silicon, magnesium and sulfur.

The sun is 70% made of Hydrogen.

What is hydrogen?

The element hydrogen has the sign H and the atomic number 1. The lightest element is hydrogen. Under normal conditions, hydrogen is a gas composed of diatomic molecules with the formula H2. It has no colour, no odour, no taste, is non-toxic, and is extremely flammable. Hydrogen is the most prevalent chemical element in the universe, accounting for approximately 75% of all normal matter. The Sun and other stars are mostly made up of hydrogen in the plasma state. The majority of hydrogen on Earth resides in molecule forms like water and organic substances. Each atom of hydrogen's most common isotope (symbol 1H) has one proton, one electron, and no neutrons.

The sun is around 70% made of Hydrogen and 28% Helium

To know more about hydrogen gas, click on the link

https://brainly.com/question/24433860

#SPJ4

The horizontal distance travelled by the car in the given time period of 13 seconds is determined as 168.3 m.

The horizontal distance travelled by the car is calculated as follows;

s = ut + ¹/₂acosθ(t²)

where;

s = 0  +  ¹/₂(2) x cos(5.2) x (13)²

s = 168.3 m

Learn more about horizontal distance here: https://brainly.com/question/16411732

#SPJ1

Echo

Explanation:

It is termed as Echo. Echo is a reflection of sound that arrives at the listener with a delay after the direct sound.

Answer: 2 Forces

Explanation:

1. Normal force- object is on a surface

2. Weight

If an evaporator has a vapour pressure drop of 10 psig and the low side pressure is 15 psig,  pressure at the inlet of the evaporator will be 25 psig

change pressure=  low side pressure-pressure drop

change pressure=15-(-10)

change pressure=25 psig

The vapor pressure of a liquid, sometimes referred to as the equilibrium pressure of a vapor above its liquid, is the pressure of the vapor produced by the evaporation of a fluid (or solid) over a sample of the liquid (or solid) in such a closed container (or solid).

Vapor pressure is the term for the force that is produced as liquids evaporate. Three factors commonly have an effect on a vapor press: surface area, intermolecular forces, and temperature. The vapor pressures of molecules change with temperature.

To know more about  Vapor Pressure visit : brainly.com/question/14718830

#SPJ1

Answer:

W1 = d1 V

W2 = d2 V         weight of balls in air (both have same volume0

w2 = (d2 - p) V     apparent weight of ball 2      (p * V = buoyant force

w2 / w1 = (d2 - p) / (d1 - p)    the liquid exerts the same buoyant force on each ball

Let p be in units of kg / m^3 * g       say 1 N / m^3

Suppose d1 = 2 and d2 = 3     N/m^3 and p = .5 N/m^3

The ratio of apparent weights would be

w2 / w1 = (3 - .5) / (2 - .5) = 1.67 to 1

Answer:

Weight is a measure of the force of gravity pulling down on an object. It depends on the object's mass and the acceleration due to gravity

Explanation:

Answer:

Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.

Explanation:

Answer:

The acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

(also, you have a typo. it's Newton, not Newtown)

a. ) The period is  1/frequency = 5sec / 9 cycles = 0.555 seconds

b.) the seconds out of phase with the displacements shown would graphs of the velocity and acceleration be 5/18 (0.2777...) sec delayed with respect to displacement

c.) Gravity = (324 π²) (0.2) / 25  =  25.582 m/sec²

What is gravity?

Gravity is defined as a fundamental interaction which causes mutual attraction between all things with mass or energy.

Solving for  the acceleration due to gravity on the surface of the planet, we have the following:

For small swing angles, the period of an ideal pendulum anywhere is

                T = 2pi √(length / local gravity)  .

The astronaut has already done the pendulum and transmitted the data to us, so

we can use his data and this formula to calculate the local gravity where he is located

          P = 2pi √(length / local gravity)

           5/9 sec = 2π √(0.2m / gravity)

        √(0.2m / gravity) =  5/9sec / 2π

Take the reciprocal of each side:    √(gravity) / √(0.2) =  18π / 5

Multiply each side by  √(0.2):    √(gravity) = 18π √(0.2) / 5

Square both sides:      Gravity = (324 π²) (0.2) / 25  =  25.582 m/sec²

The value gotten is about  2.608 times  the Earth's gravity.  

Learn more about gravity at: https://brainly.com/question/940770#

#SPJ1

vf = vi + at = 2 m/s + (4 m/s²) (2 s) = 10 m/s

Answer:

Kate did not do any work on the wall , because the wall did not move

The option that  would increase the mechanical advantage of a lever is option A. Moving the fulcrum closer to the output force.

Mechanical advantage quantifies a lever's effectiveness (how easy it is to lift the load). - When compared to the distance between the load (resistance) and the fulcrum, the advantage relies on the distance between the effort and the latter (effort arm) (resistance arm).

Note that in Levers of Class 1:

Learn more about  mechanical advantage from

https://brainly.com/question/18345299
#SPJ1

(a.i) The magnitude of the centripetal acceleration at its edge is 28,197.04 m/s².

(a. ii) In terms of multiple of g, the centripetal acceleration is 2,874.3 g.

(b) The linear speed is determined as 48.96 m/s.

The magnitude of the centripetal acceleration of the workshop grindstone is calculated by applying the following kinematic equation.

a = v²/r = ω²r

where;

The given parameters include;

ω = 5500 rev/min

ω = 5500 rev/min   x   2π rad/rev x  1 min / 60 s

ω = 575.96 rad/s

a = (575.96²) x (0.085)

a = 28,197.04 m/s²

In terms of acceleration due to gravity (g);

a = 28,197.04 m/s² / 9.81 = 2,874.3 g

The linear speed of the grindstone is calculated as follows;

v = ωr

v = 575.96 rad/s  x  0.085 m

v = 48.96 m/s

Learn more about centripetal acceleration here: https://brainly.com/question/19246433

#SPJ1