A bowling ball rolls without slipping up a ramp that slopes upward at an angle β to the horizontal. Treat the ball as a uniform, solid sphere, ignoring the finger holes.
a. What is the acceleration of the center of mass of the ball?
b. What minimum coefficient of static friction is needed to prevent slipping?

Answer:

An aeroplane is flying with the velocity of V_(1)=800kmph relative to the air towards south.A wind with velocity of V_(2)=15ms^(-1) is blowing from west to east.What is the velocity of the aeroplane with respect of the earth.

The reaction is the force applied by the player's glove on the ball.

Newton's third law of motion states that when one body exerts a force on the other body, the first body experiences a force which is equal in magnitude in the opposite direction of the force which is exerted”.

The statement means that in every interaction, there is a pair of forces acting on the two interacting objects. The size of the forces on the first object equals the size of the force on the second object.

The direction of the force on the first object is opposite to the direction of the force on the second object.

According to this question, a player catches a ball. The action is the force to the ball against the player's glove while the reaction or opposite force will be the player's glove against the ball.

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Planetary winds and currents have a significant impact on the Earth's climate and weather patterns. They are influenced by a variety of factors such as solar radiation, the rotation of the Earth, and temperature gradients.

Planetary winds and currents move in the same direction, assisting in the transport of heat and moisture around the world. For example, trade winds move from subtropical high-pressure zones to equatorial low-pressure zones, whereas prevailing westerlies move from west to east. Warm currents flow from the equator to the poles, and cold currents flow from the poles to the equator, as do ocean currents. The direction and strength of planetary winds and currents influence climate and weather patterns in various parts of the world.

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Answer:

Acceleration = -3m/s²

Explanation:

Given the following data;

Initial velocity = 19m/s

Final velocity = 3m/s

Time = 2secs

To find the acceleration;

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time. Mathematically, acceleration is given by the equation;

\(Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}\)

Substituting into the equation, we have;

\(a = \frac{3 - 9}{2}\)

\(a = \frac{-6}{2}\)

Acceleration = -3m/s²

The value for her acceleration is negative because she is decelerating i.e her final velocity is lower than her initial velocity.

Answer: B. Ax = 6, Ay=8

Explanation:

The range of wavelengths of light as it approaches the retina within the vitreous humor is approximately 400 to 700 nanometers (nm).

Visible light is a form of electromagnetic radiation that is perceived by the human eye. It consists of a spectrum of different wavelengths, and each wavelength corresponds to a specific color. The visible light spectrum ranges from approximately 400 nm (violet/blue) to 700 nm (red).

As light passes through the various structures of the eye, including the cornea, aqueous humor, lens, and vitreous humor, it undergoes refraction and focuses onto the retina. The vitreous humor is a clear, gel-like substance that fills the space between the lens and the retina.

The vitreous humor does not significantly affect the wavelength of light passing through it, so the range of wavelengths remains within the visible light spectrum. Therefore, the light that reaches the retina within the vitreous humor typically falls within the range of 400 to 700 nm. This range covers the colors of the visible spectrum that are perceived by the human eye.

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This means that no heat is required to maintain the temperature inside the enclosure at 55°F, since the outside temperature is also 55°F and there is no temperature difference.

Q = UAΔT

U = 1/r

So, U = 1/20 = 0.05 (units: Btu/hft^2°F)

ΔT = Ti - To

Consequently, the quantity of warmth required to heat the enclosure is:

Q = UAΔT = 0

Temperature is a physical quantity that reflects the degree of hotness or coldness of an object or a system. It is a measure of the average kinetic energy of the particles that make up the object or system. The SI unit of temperature is Kelvin (K), although other units such as Celsius (°C) and Fahrenheit (°F) are also commonly used.

In physics, the temperature is closely related to other physical quantities such as heat, energy, and entropy. Heat is the transfer of thermal energy between two systems at different temperatures, and the direction of heat flow is always from the hotter system to the colder system. The amount of heat transferred depends on the temperature difference between the two systems and their thermal conductivities.

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Answer:

GAMMA RAYS:

A photon emitted spontaneously by a radioactive substance also : a photon of higher energy than that of an X-ray.

USES OF GAMMA RAYS:

Gamma rays are used in medicine (radiotherapy), industry (sterilization and disinfection), and the nuclear industry. Shielding against gamma rays is essential because they can cause diseases to skin or blood, eye disorders, and cancers.

Answer:

It allows you to see fetuses before they are born.

Explanation:

because it has many helpful measures....

it helps in breaking and crushing the kidney stones...due to its high frequency....

Explanation:

the answer is wavelength

To rank car #1's speed relative to the ground at the lettered times (A through E) from largest to smallest, we need more information on the speeds at those specific times.

The ranking for the speed of car #1 relative to the ground was determined: The ranking was determined based on the given information about the speed of the car at each lettered time. The speed of the car at time A is the highest, followed by time B and so on. Thus, the ranking was established according to the given values.

The necessary information on the speeds of both cars at the lettered times, we cannot determine the ranking of car #1's speed relative to car #2. To rank the distance between the cars at the lettered times (A through E) from largest to smallest, we need more information on their positions at those specific times. We cannot determine the ranking for the distance between the two cars without the necessary information on their positions at the lettered times.

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In conclusion, the comparison and ranking of speed or distance between two cars at different time points depends on the specific data given at those points, and analyzing their changes over time will provide the best answer.

Unfortunately, I can't give a specific rank or explanation without a graph, diagram, or set of data points to use for reference. However, to answer such a question, you would need to compare the speed, relative movement, and distance between both cars at each mentioned time point.

For example, suppose at time A, car #1 is moving faster than car #2. You'd rank car #1's speed greater at time A. However, if at time B, car #1 is stationary while car #2 is still moving, you'd rank car #1's speed lowest at time B.

In terms of the speed of car #1 relative to car #2, it depends on their comparison speed at each point in time. If at one point, both cars are moving the same speed in the same direction, they're considered at relative rest, so their relative speed to each other is zero.

The distance between two cars would be determined by subtracting the distance covered by car #1 from car #2. The larger distance it covers, the greater the gap between the two cars.

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Answer:

12 m/s

Explanation:

Answer:

a. 1.062 × 10⁻⁹ C/m² b. 5.472 × 10⁵ C c. 7.685 × 10⁹ V d. -210.12 V e. 4.972 × 10³ N f. F the electric force is much less than the gravitational force F₁ of the earth on the moon.

Explanation:

a. The surface charge density D = ε₀E where E = 120 N/C

D = ε₀E = 8.854 × 10⁻¹² F/m × 120 N/C = 1.062 × 10⁻⁹ C/m²

The charge density is positive since the electric field is positive or directed downwards. Only a positive charge could direct an electric field out of itself.

b. Since the surface charge density is uniform over the planet and charge, Q = DA where A = area of earth = 4πr² where r = radius of earth = 6.4 × 10⁶ m.

So Q = DA

= 1.063 × 10⁻⁹ C/m² × 4π × (6.4 × 10⁶ m)²

= 5.4715 × 10⁵ C

≅ 5.472 × 10⁵ C

c. The earth's electric potential due  to this charge Q is V = Q/4πε₀r

= 5.472 × 10⁵ C ÷ (4π × 8.854 × 10⁻¹² F/m × 6.4 × 10⁶ m)

= 5.472 × 10⁵ C ÷ 712.081 × 10⁻⁶ F

= 0.07685 × 10¹¹ V

= 7.685 × 10⁹ V

= 7.685 GV

d. Since V = Q/4πε₀r, and we are going to be dealing with a small change in length compared to r, we differentiate V to get the differential change in potential.

So, dV/dr = -Q/4πε₀r²

dV = -Qdr/4πε₀r² ,dr = 1.75 m

dV = -5.472 × 10⁵ C × 1.75 m ÷ [4π × 8.854 × 10⁻¹² F/m × (6.4 × 10⁶ m)²]

dV = -9.576 × 10⁵ Cm ÷ 4557.318 Fm

dV = -210.124 V

dV ≅ -210.12 V

e. Let Q₁ = charge on moon and Q₂ = charge on earth. Given that Q₁ = 0.273Q₂, the force of attraction between earth and moon is F = Q₁Q₂/4πε₀R² where R = distance between earth and moon = 3.844 × 10⁸ m

F = Q₁Q₂/4πε₀R²  

= 0.273Q²/4πε₀R²

= 0.273 × (5.472 × 10⁵ C)²/ [4π × 8.854 × 10⁻¹² F/m × (3.844 × 10⁸ m)²]

= 8.1744 × 10¹⁰ C²/1644.054 Fm × 10⁴

= 0.004972 × 10⁶ N

= 4.972 × 10³ N

= 4.972 kN

f. The gravitational force between earth and moon F₁ = Gm₁m₂/R² where m₁ = mass of moon = 7.3 × 10²² kg and m₂ = mass of earth = 5.97 × 10²⁴ kg.

F₁ = 6.67 × 10⁻¹¹ Nm²/kg² × 5.97 × 10²⁴ kg × 7.3 × 10²² kg/(3.844 × 10⁸ m)²

= 290.685 × 10³⁵ Nm²/14.776 × 10¹⁶ m²

= 19.67 × 10¹⁹ N

= 1.967 × 10²⁰ N

≅ 2 × 10²⁰ N

Since F₁/F = 1.967 × 10²⁰ N/4.972 × 10³ N = 3.95 × 10¹⁶ ≅ 4 × 10¹⁶.

F the electric force is much less than the gravitational force F₁ of the earth on the moon.

Answer:

It will take the cyclist 4 second

Answer:

72% = output / 300j * 100

output = 216 joules

300j - 216j = 84joules remains in the water

We can see here that the textures of objects play a significant role in determining the friction produced when two objects are in contact with each other.

Friction is a force that opposes the relative motion or attempted motion between two surfaces in contact. When two objects are in contact and one tries to slide, roll, or move past the other, friction acts in the opposite direction to resist or impede that motion.

Here's how different textures affect friction:

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The statement that describes what happens in the graph is option (B).

The lander's velocity decreases toward the reference.

Velocity time graph is a type of graph that describes the change in velocity with respect to time of motion of an object.

Below is the basic explanation of the behavior of the average velocity of the particle with time.

Thus, we can conclude that between 20 and 25 seconds in the velocity tike graph, the average velocity of the object decreased towards the reference point (reference velocity = - 40 m/s.).

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Given that,

Time = 0.5 s

Acceleration = 10 m/s²

(I). We need to calculate the speed of apple

Using equation of motion

\(v=u+at\)

Where, v = speed

u = initial speed

a = acceleration

t = time

Put the value into the formula

\(v=0+10\times0.5\)

\(v=5\ m/s\)

(III). We need to calculate the height of the branch of the tree from the ground

Using equation of motion

\(s=ut+\dfrac{1}{2}gt^2\)

Put the value into the formula

\(s=0+\dfrac{1}{2}\times10\times(0.5)^2\)

\(s=1.25\ m\)

(II). We need to calculate the average velocity during 0.5 sec

Using formula of average velocity

\(v_{avg}=\dfrac{\Delta x}{\Delta t}\)

\(v_{avg}=\dfrac{x_{f}-x_{i}}{t_{f}-t_{0}}\)

Where, \(x_{f}\)= final position

\(x_{i}\) = initial position

Put the value into the formula

\(v_{avg}=\dfrac{1.25+0}{0.5}\)

\(v_{avg}=2.5\ m/s\)

Hence, (I). The speed of apple is 5 m/s.

(II). The average velocity during 0.5 sec is 2.5 m/s

(III). The height of the branch of the tree from the ground is 1.25 m.

Speed is a scalar quantity because it is only represented by magnitude not a direction.

Answer:

b decreases as a increases and c stays constant

It all depends on the definitions of a, b, and c, and the relationship among them. Your question doesn't give us any of this information.

Your speed relative to the street is 6.0 m/s forward.

To determine your speed relative to the street, we need to add the velocity of the bus to your velocity relative to the bus.

Let's assume that the direction in which the bus is moving is positive, then:

The velocity of the bus relative to the street is 2.0 m/s.

Your velocity relative to the bus is 4.0 m/s forward, which means your velocity relative to the street is 4.0 m/s forward as well.

So, your velocity relative to the street would be the sum of the velocity of the bus relative to the street and your velocity relative to the street:

Velocity relative to the street = Velocity of the bus relative to the street Your velocity relative to the street

Velocity relative to the street = 2.0 m/s + 4.0 m/s

Velocity relative to the street = 6.0 m/s

Therefore, your speed relative to the street is 6.0 m/s forward.

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Answer:

In physics and chemistry, the law of conservation of energy states that the total energy of an isolated system remains constant; it is said to be conserved over time. ... For instance, chemical energy is converted to kinetic energy when a stick of dynamite explodes.

Answer:

1. Kinetic energy is the energy possessed by a body due to its motion. Potential energy is the energy possessed by a body due to its position or state. Kinetic energy can be transferred from one object to another, in case of collisions. Potential energy cannot be transferred. Thus, the potential energy is stored in the object due to its position, whereas the kinetic energy is possessed by an object due to motion.

Eg: A ball kept on the edge of the table possesses potential energy due to its height, whereas a ball falling down from the table will possess kinetic energy due to its motion.

2. The formula for Kinetic energy is as below: This means that kinetic energy is directly proportional to mass as well as velocity. But it is proportional to 1 unit of mass and a square of velocity. Hence, velocity has a greater effect on kinetic energy.…show more content…

3. The equation for kinetic energy is: .

Let’s calculate the kinetic energy of a 40 kg object traveling 15 m/s.

Solution: mass= 40kg, velocity= 15 m/s, so putting these numbers into the kinetic energy equation,

Now, let’s calculate the kinetic energy of a 40 kg object traveling 30 m/s.

Solution: mass= 40kg, velocity= 30 m/s, so putting these numbers into the kinetic energy equation, Thus, when we double the velocity of an object, its kinetic energy increases by four times. Hence the velocity of an object has more impact on kinetic energy than the mass of an object.

Explanation:

The 60 degrees is needed between the direction of polarized light and the axis of a polarizing filter to cut its intensity to one-fifth of its initial value.

It is given that axis of a polarizing filter to cut its intensity to one-fifth of its initial value.

It is required to find the angle between the direction of polarized light and the axis of a polarizing filter to cut its intensity to one-fifth of its initial value.

Suppose the angle between the polarizer and the axis of filter is θ.

The intensity of light that is passing after the filter is 0.2 l₀.

From the law of Malus, we have

I = I₀ \(cos^{2}\)θ

0.2I₀= I₀ \(cos^{2}\)θ

0.2 =  \(cos^{2}\)θ

\(cos\\\)θ = 0.447

θ = 60°

Thus the angle between the direction of polarized light and the axis of a polarizing filter is 60 degree.

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Answer:

This the correct Answer

Explanation:

Answer:

this is why the larger object has a smaller acceleration

Explanation:

According to Newton’s Second Law, when the same force is applied to two objects of different masses, the object with greater mass will experience a smaller acceleration and the object with less mass will experience a greater acceleration. .

the larger mass will also have a larger weight because of gravity

ampere is the right answer.