A 12-kg sled is lying on a hill with an incline of 21 degrees.
If the sled it not moving what must the coefficient of
static friction be (at least)?

Answer:

below

Explanation:

First, convert 26.2 mi to km = 42.16 km

   then    42.16 km / 12 km/ hr = 3.51 hr   = 3 hr 30.8 m

(h) The net force equation for y-direction is F(net)_y = F sinθ

(i) The normal force acting on the truck is 490,000 N.

(j) The force of friction acting on the truck is 490 N.

(k) The net force equation for the x - direction is F(net)_x = Fcosθ  - Ff.

(l) The acceleration of the truck is 0.94 m/s².

A free body diagram (FBD) is a sketch of all the forces acting on object, indicating the direction of the applied force.

            ↑ N

   Ff →   Ф  ← F

            ↓W

where;

The net force equation for y-direction is calculated as follows;

F(net)_y = F sinθ

The normal force acting on the truck is calculated as follows;

Fn =  mg

where;

Fn = 5000 x 9.8

Fn = 49,000 N

The force of friction acting on the truck is calculated as follows;

Ff = μFn

where;

Ff = 0.01 x 49,000 N

Ff = 490 N

The net force equation for the x - direction is written as;

F(net)_x = Fcosθ  - Ff

where;

F(net) = 6000 x cos(30)  -  490

F(net) = 4,706.15 N

The acceleration of the truck  in the sleeping bag is calculated as follows;

a = F(net) / m

a = (4,706.15) / (5000)

a = 0.94 m/s²

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The focal length of the lens is 14.67 cm.

The focal length of an optical device is a measure of how strongly the machine converges or diverges mildly; it's miles the inverse of the system's optical electricity. A wonderful focal length suggests that a system converges mildly, while a negative focal duration shows that the system diverges mildly.

Calculation:-

himage/h object = f-v/f

0.5/2 = f - 11/f

0.25f = f - 11

11 = f - 0.25f

11 = 0.75f

f = 11/0.75

f = 14.67 cm

The focal length ( f ) is the gap from a lens or reflects the point of interest ( F ). this is the distance from a lens or replicates at which parallel mild rays will meet. The focal period of (left) a concave lens (with a negative focal length), (middle) a convex lens and. (right) a concave replicate.

The distance from the center of the lens to the photo focal factor (=image sensor floor) is referred to as the focal period. Its miles are expressed in millimeter (mm) gadgets. A lens with a brief focal duration is an extensive-perspective lens and one with a protracted focal length is a telephoto lens.

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Answer:

force=mg+Fo

acceleration=0

Explanation:

The cost of running the window air conditioning for 14 days, given that the cost of electricity is 23.75 cents per kilowatt-hour, is $ 87.78

We'll begin by obtaing the energy consumed by the window air conditioning for 14 days. This can be obtained as follow:

E = Pt

E = 1.1 × 336

E = 369.6 KWh

Finally, we shall determine the cost of running the window air conditioning. This is shown below:

Cost = energy × Cost per KWh

Cost of running for 14 days = 369.6 × 0.2375

Cost of running for 14 days = $ 87.78

Thus, we can conclude that the cost of running for 14 days is $ 87.78

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Two microscopic bags each contain two protons. When separated by distance d, electric force on one due to the other is F. When you transfer a proton from one to another without changing anything else. The electric force now is ¾F.

Electric force is described as the repulsive or attractive interaction between any two charged bodies.

The electric force is one of the various forces that act on objects and has its impact and effects on the given body which is described by Newton’s laws of motion.

The electric force between two electrons is equal to the electric force between two protons when placed at equal distances and this describes that the electric force is not based on the mass of the object, but depends on the quantity known as the electric charge.

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a) At the application of the brakes, there is a conversion of kinetic to potential energy.

b) When it climbs the second hill, the kinetic energy of the roller coaster is now converted to potential energy.

Let us recall that according to the principle of the conservation of energy, energy can neither be created nor destroyed but it can be transformed from one form to another. In the roller coaster, we can see the principle of energy transformation at work. This is one of the easiest ways that we could use to be able to describe the conservation of energy.

When a break has been applied in the roller coaster, there is a consversion of energy from kinetic energy to potential energy. Recall that the kinetic energy has to do with the energy that is in motion. This is converted to the potential energy of a stationary roller coaster.

Again when the roller coaster goes up a second hill, there is a change from kinetic to potential energy that the roller coaster would possess at the top of the hill.

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Answer: A

Explanation:

Answer: Objects in space can have momentum space because momentum depends on mass and velocity. Unlike other quantities, like weight, mass does not change if an object is on space or on Earth.

Explanation: Because momentum depends on mass and velocity and unlike other quantities, like weight, mass does not change if an object is on space or on Earth.

The statement that best describes what astronomy and cosmology is the option B. That says that astronomy study objects of the universe and cosmology study the entire universe.

Astronomy is that science that will study the celestial bodies found in the universe such as stars, planets, asteroids, among others. He will study more specifically the components of the universe. While cosmology studies the universe as a whole and its origin, it will study theories such as the big bang theory.

Therefore, we can confirm that the statement that best describes the difference between astronomy and cosmology is that astronomy is the study of objects in the universe—how they are formed, their composition, and how they change over time. Cosmology is the study of the entire universe—what objects are contained in the universe, and what is happening to the universe over time, including how it may or may not end. So the correct option is B.

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Answer:

option B.

Explanation:

Explanation:

Let

T

be the tension of the cable and m

g

be the force of gravity. If the upward direction is positive, then Newton’s second law is T−mg=ma, where a is the acceleration. Thus, the tension is T=m(g+a). We use constant acceleration kinematics (Table 2-1) to find the acceleration (where v=0 is the final velocity, v

0

=−12m/s is the initial velocity, and y=−42m is the coordinate at the stopping point). Consequently, v

2

=v

0

2

+2ay leads to

a=−

2y

v

0

2

=−

2(−42m)

−12m/s

=1.71m/s

2

We now return to calculate the tension:

T=m(g+a)

=(1600kg)(9.8m/s

2

+171m/s

2

)

=1.8×10

4

N

Using velocity we will get the car’s power is 46.48 m/s.

What is velocity?

velocity is directional speed of a object in motion as an induction of it's rate of change in position observed from a particular frame of reference and as measured by a particular standard of time.

Sol- The linear momentum of a body is defined as the product of its mass and its velocity given by-

P = mv

According to the question the momentum of the truck is-

Pr=2250×25 kgm /s

Pr=56250 kgm/s

Now we can see the momentum of the car and the truck must be same that is Pc=Pr

1210×v =56250 kgm/s

v= 56250/1210

v= 46.48 m/s

Thus the velocity of the car is 46.48m/s .

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If the hamster does this work in 2 seconds, its power is equal to 0.25 Watt or Joule per second.

The work done (W) by an object can be calculated by multiplying the force acting on it by the perpendicular distance covered by the physical object. This ultimately implies that, work done (W) and energy (E) have the same unit i.e Joules (J).

Mathematically, the work done (W) by an object can be calculated by using the following formulas:

Work done (W) = force × distance   ..................equation 1.

Work done = power × time            ..................equation 2.

Making power the subject of formula in equation 2, we have:

Power = (Work done)/time

Note: The time is measure in seconds.

Substituting the given parameters into the formula, we have;

Power = (0.50 Joules)/2

Power = 0.25 Watt or Joule per second.

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Answer:

3.91 s

Explanation:

d = -75

a = -9.81

d = 1/2 at^2

-75 = 1/2 ( -9.81) (t^2)

75 = 1/2 ( 9.81) t^2            shows t = 3.91 s

We disagree with Eve's hypothesis that the cart full of groceries applies more force to the empty cart than the empty cart applies on the cart with groceries.

Mass of empty shopping cart = 20 Kg

Mass of cart full of groceries = 40 Kg

Newton's third law of motion states that each action has equal and opposite reaction. Thus, if empty cart exerts a force on the cart full of groceries, then the cart full of groceries should exert same amount of force on the empty cart when two customers accidently bump their carts. Hence, Eve's hypothesis is opposite to Newton's third law of motion.

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The quantity of useful energy which this machine would generate in 10 minutes is equal to: B. 24 kJ.

Mathematically, energy efficiency can be calculated by using this formula:

Energy efficiency = WO/WI × 100

Where:

For the output energy, we have:

20 = WO/200 × 100

4000 = 100WO

Output energy, WO = 4000/100

Output energy, WO = 40 joules/second.

Note: A minute is equal to 60 seconds.

In 10 minutes, the time is given by:

10 minutes = 10 × 60

10 minutes = 600 seconds.

Now, we can determine the useful energy generated by this machine:

Useful energy = 40 joules/second × 60 seconds

Useful energy = 24,000 Joules or 24 Kilojoules (24 kJ).

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Answer:

Explanation:

A motionless object can have energy. The energy that the object has is called potential energy.

Energies it does not have may consist of kinetic energy, gravitational potential energy, elastic potential energy, and chemical potential energy

The plane has a 210km displacement value.

The ideal answer is B.

A plane flies straight after takeoff and ends up 190 km to the east and 800.0 km to the north of where it started.

We should use Pythagoras' Theorem to solve this problem.

Distance 2 is calculated as 190^2 + 80^ = 210 km.

which, when rounded, is equivalent to 210 kilometers.

190^2 + 80.0^2 = 45000

√45000

210KM

The displacement of the plane is 210 kilometers.

An object's positional change is referred to as "displacement." It possesses a magnitude and direction as a vector quantity. It is represented by an arrow that leads from the starting point to the destination. An object's position changes, for example, if it moves from position A to position B.

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Answer:

706 m

Explanation:

Since distance is measured in meters (Standard Issued Units) the answer would be 706 m and not any other value.

Answer:

See below

Explanation:

Fg = G m1 m2 / r^2        Fg = force of gravity   and

               G, the gravitational constant =   6.6743x10^-11   m^3/(kg s^2)

m2 = 2 m1   is given, then sub in the values:

2.63 x 10^-12 = 6.6743 x 10^-11 ( m1)(2 m1) / ( .032)^2

results in 2 m1^2 = .00004035059

then m1 = .004491 kg      and m2 is twice this much

mass 1 = 4.49 x 10^-3 kg     as you stated

The astronomy of the star and the parameters of the star in terms of solar units are;

Radius of the star ≈ 5.03 [tex]R_{Sun}[/tex]

Temperature of the star ≈ 0.92 [tex]T_{Sun}[/tex]

Luminosity of the star ≈ 18 [tex]L_{sun}[/tex]

The astronomical system of units are a special class of units designed for astronomy.

First part;

One solar radius is specified as [tex]R_{Sun}[/tex] = 6.9551 × 10⁵ km

The radius of the star = 3.50 × 10⁶ km

The radius of the star in units of the solar radius is therefore;

Second part;

One unit of the solar temperature, [tex]T_{Sun}[/tex] = 5777 K

The temperature of the star = 5305 K

The stars temperature in units of the solar temperature, is therefore;

Temperature = 5305 K/(5777 K) ≈ 0.92

Third part;

The function for the luminosity of a star, L, is; L = 4·π·R²·σ·T⁴

The luminosity of the star = 4 × π × (3.50 × 10⁶)² × σ × 5305⁴

The luminosity of the Sun = 4 × π × (6.9551 × 10⁵)² × σ × 5777⁴

The solar luminosity of the star = (4 × π × (3.50 × 10⁶)² × σ × 5305⁴) ÷ (4 × π × (6.9551 × 10⁵)² × σ × 5777⁴) ≈ 18

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According to the law of conservation of energy, statement which is true about conservation of energy is that the total energy is always conserved.

According to law of conservation of energy, it is evident that energy is neither created nor destroyed rather it is restored at the end of a chemical reaction .

Law of conservation of mass and energy are related as mass and energy are directly proportional which is indicated by the equation E=mc².Concept of conservation of mass is widely used in field of chemistry, fluid dynamics.

Law needs to be modified in accordance with laws of quantum mechanics under the principle of mass and energy equivalence.This law was proposed by Julius Mayer in the year 1842.

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The maximum force that wire B can withstand is same as A.

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.

For wire diameter do not effect the force it can withhold so, A and B and have same force 2000 N.

The maximum force that wire B can withstand is same as A.

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Answer: Dispersion of visible light produces the colors red (R), orange (O), yellow (Y), green (G), blue (B), and violet (V). It is because of this that visible light is sometimes referred to as ROY G. BIV.

Explanation:

Answer:

A. The acceleration of the airplane is 36 m/s2.

B. It takes the airplane 82.5 seconds to reach the end of the runway.

C. The final velocity of the airplane is 84 m/s.

Answer:

b

Explanation:

Because the 20kg block has a higher mass it takes more force to move it. Following Newton's first law. An object at rest wants to stay at rest and one moving wants to keep moving. Considering there's more atoms in the higher kilogram block than the smaller one more atoms would want to stay at rest therefore experience more inertia and accelerate slower.

The degree of accuracy is very important in the measurement of various heights of water hyacinths on ponds to limit errors from its true value.

The water hyacinths are a type of aquatic plants that grows in shallow ponds, marshes, small streams, lakes and rivers.

The water hyacinths are very useful to the environment as they reduce water pollution and process as animal feed, compost, and bioenergy.

During measurements in experiment, the accuracy of such measurements should be out under consideration to avoid occurrence of errors.

Although the measurement of the water hyacinth would be gotten from 30 ponds, it's necessary to prevent errors by maintaining accurate heights gotten from each pond as it would act as final value at the end of the experiment.

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8. The frequency of the weight suspended from a spring.is 2Hz.

9. The period is 0.5 seconds.

10. The amplitude is 14cm

Frequency simply means the number of oscillation in a unit time. It is the rate at which something repeats itself in a second.

In this case, the spring bob up and down 2 times per second. Therefore, Frequency = 2 Hz

The period is the time taken to complete one oscillation. 2 oscillations takes 1 second

1 oscillation = 1/2 seconds.

Period = 0.5 seconds

Amplitude is the the maximum displacement of the spring. In this case the spring bob up 14 cm. This is it's displacement.

Amplitude = 14 cm

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s(displacement) = 40m ,  when a body is thrown towards with a velocity of 10ms.

It can be defined as the distance covered by an object in unit time.

Displacement is defined to be the change in position of an object.

Rate at which velocity changes with time, in terms of both speed and direction.

S = ut + 1/2 at²

where, S = displacement (m)

           u = initial velocity (ms)

           a = acceleration (g=10m/s²)

           t = time (s)

S = 10×2 + 1/2 × 10(2)²

S = 40m

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Answer:

The answer is C inertia

Explanation:

This action is a result of the disks.