a roller coaster car rapidly picks up speed as it rolls down a slope. as it starts doown the slope. its speed is 4 m/s. but 3 secondes later ,at the bottom of the slope. its speed is 22 m/s what is the avrege acceleration?

The speed of the bat swing decrease as the mass of the bat increases because mass is inversely proportional to velocity squared if the centripetal force is constant.

[tex]F_{c}[/tex] = m v² / r

[tex]F_{c}[/tex] = Centripetal force

m = Mass

v = Velocity

r = Radius

Rearranging for v,

v² = [tex]F_{c}[/tex] * r / m

Since [tex]F_{c}[/tex] and r is constant,

v² ∝ 1 / m

Since v² is inversely proportional to m and vice-versa, as the mass of the bat increases, speed of the bat swing decreases.

A centripetal force is responsible for making a body follow a curved path. The direction of centripetal force is perpendicular to the motion and towards the center of curvature.

Therefore, the speed of the bat swing decrease as the mass of the bat increases because mass is inversely proportional to velocity squared if the centripetal force is constant.

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The detail from the text best supports the answer to part A is Hamilton’s passionate drive pushed him into many confrontations, both physical and political as he sought a lasting legacy.

The part A identifies the central idea of the text which is Hamilton’s strong opinions and tendency to fight relentlessly for his beliefs contributed to the large impact he had as a Founding Father, but also made him several enemies.

Alexander Hamilton was a founding father of United States. He fought in the American Revolutionary War. He drafted the constitution. He was the founder of American financial system.

Therefore, the detail from the text best supports the answer to part A is Hamilton’s passionate drive pushed him into many confrontations, both physical and political as he sought a lasting legacy.

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Answer :First part is what you learned so write what you learned then the other parts is The evidence that the universe is expanding comes with something called the red shift of light. Light travels to Earth from other galaxies. As the light from that galaxy gets closer to Earth, the distance between Earth and the galaxy increases, which causes the wavelength of that light to get longer.

Explanation:

Dependence:

-Area

-Separation

-Medium

Independent from:

-Charge

-Electric potential

-Metal

A prism is a translucent, triangular object composed of glass or plastic (or any transparent material). Refraction is a phenomenon that causes white light to curve when it passes through a prism. Light is bent when it travels from one medium (like air) to another medium through the process of refraction (like water or glass).

The refractive index of an optical medium is a dimensionless quantity that describes how efficiently the medium bends light. The amount of light that enters a substance is refracted or bent depends on the substance's refractive index.

Apparent depth is the distance between the real depth of an item and its image when it is submerged in a transparent medium, which is lowered by a factor equal to the relative index of refraction of the medium with regard to air.

apparent depth is equal to actual depth / refractive index.

d = (2/1.5) + (4/1.6) + (7/1.8)

 = 5.741 cm

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Answer:

9750g

Explanation:

Density=78g/cm³

volume= 5×5×5=125cm³

mass=Density×volume

mass=78g/cm³×125cm³

mass=9750g

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Given:

car is parked ouphill on a sloped street.

To draw the free body diagram.

Explanation:

he ffree-bodydiagram of the car is shown below.

Here, W is the force due to gravity which is its weight.

There is a frictional force, f acting towards the slope.

N is the normal force.

The car will remain at rest if no force is acting on the body.

The weight can be resolved into sine and cosine components.

The horizontal component of weight cancels out the normal force and the vertical component of weight cancels the frictional force.

Thus, the car is at rest as no net force is acting on it.

The force of gravity between the two cars is 1.14 x 10⁻⁷ N.

The force of attraction on a body by earth  or force of gravity is defined the gravitational pull of the earth on every object on earth.

Mathematically, the gravitational force between two object is given by;

F = Gm₁m₂/r²

where;

F = (6.67 x 10⁻¹¹ x 1039 x 1039)/(25.15)²

F = 1.14 x 10⁻⁷ N

Thus, we can conclude that the force of attraction between two objects in the universe increases with decrease in the distance of separation.

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Yes, more centripetal force is required to to sustain an object in circular motion that is moving at a greater velocity.

Answer:

Explanation:

Force:

Fₙ = m*V² / R

m - const

R - const

V ↑

Fₙ ↑

The acceleration of the cheetah is 4.07 m/s^2.

Acceleration is the rate of change of the velocity of an object with respect to time. The unit of acceleration is meter per seconds squared (m/s^2). The equation of acceleration is given below.

a = (v_f - v_i)/t

Where a = acceleration, v_f = final velocity, v_i = initial velocity and t = time.

Here, the final velocity = 26.5 m/s, initial velocity = 0 m/s (cheetah is at rest) and time = 6.5 s. The acceleration of the cheetah will be,

a = (26.5 - 0)/6.5

a = 4.07 m/s^2

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The time taken to cover the distance during the marathon as shown in the question is 4.0 hours.

The term speed has to do with the ratio of the distance that have been covered to the time that have been taken to cover that distance. We know that the distance is a scalar quantity and that the direction of the quantity is not involved. We now need to obtain the speed

Now we have the following;

Speed of the runner =  6.6 mi/h

Distance covered by the runner = 26.22-mi

Speed = distance/time

time = distance/speed

time = 26.22-mi /  6.6 mi/h

= 4.0 hours

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If an object is changing its direction or the speed of the object is changing then the object is said to be accelerating.

Acceleration is the rate at which speed and direction of velocity change over time. A point or object moving straight ahead is accelerated when it accelerates or decelerates. Even though the speed is constant, motion on a circle accelerates because the direction is constantly shifting.

An object is said to be accelerating if its velocity is changing, whether the change in velocity is constant or varies by a fixed amount.

Since acceleration is a vector quantity—which means it has both a magnitude and a direction—it follows that an object is said to be accelerating if its direction is changing.

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Resistance of copper wire with four times the diameter is 3.23 Ω.

Formula of resistance is, R= ρl/A.

where, ρ = Resistivity of material

            l = Length of material

            A= area of material

In first case, resistance of Copper conductor = 0.202 Ω

0.202 = ρ × l /πr²

0.202 = ρ × l/ π (d/2)²                            …equation 1

In second case, let resistance of copper conductor where diameter is four times be R'

R' = ρ × l /π (d/8)²                                   …equation 2

upon substituting value of equation 1 in 2,

R' = 0.202 × 16

R' = 3.23 Ω

Hence, Resistance of copper conductor with four times diameter is 3.23 Ω

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Placing lights at either side of the mirror to directly brighten the complexion is the simplest way to help reduce shadows on the face. The temperature of this bulb should be comfortable as well (2,700 to 3,500 Kelvin).

Lighting in salons should be positioned to eliminate shadows. Placing lights at either side of the mirror to directly brighten the complexion is the simplest way to help reduce shadows on the face. The temperature of this bulb should be comfortable as well (2,700 to 3,500 Kelvin).

Compared to other spaces or buildings, a beauty salon has a lot more practical uses for lighting. It facilitates work, helps staff members see consumers clearly, and ensures that everything is carried out correctly.

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The average velocity of the plane is 804.86 km/h. The eastward and southward components of the average velocity is 729.45 km/h and 340.14 km/h respectively.

The total distance covered by the plane (d) = 14890 km

The time taken for the flight to cover distance (t) = 18.5 hr

The average velocity is calculated by total distance divided by time taken.

[tex]V_{avg} = \frac{d}{t}[/tex]

[tex]V_{avg}=\frac{14890}{18.5}=804.86 km/h[/tex]

The eastward component of average velocity = [tex]V_{x}[/tex]

The southward component of average velocity = [tex]V_{y}[/tex]

[tex]V_{x}= V_{avg}cos\theta[/tex]

[tex]V_{y}= V_{avg}sin\theta[/tex]

Substitute the values and find the components of average velocity.

[tex]V_{x}[/tex] = 804.86*0.90 = 729.45 km/h

[tex]V_{y}[/tex] = 804.86*0.44 = 340.14 km/h

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Resistance of snorkeler, R = 605 Ω.

Current, I = V/R 500/605  = 0.83 A

⇒ I = 0.83 A.

The flow of charge across the cell membrane creates an electric current. Cells control the flow of specific charged elements across membranes using proteins that reside on the cell surface and create openings for specific ions to pass through. These proteins are called ion channels.

For example, if there is a voltage difference between one arm and the other a current will flow through the body. The human body has a higher impedance to DC current than to its AC current. That is, a person can withstand the effects of an electric shock caused by a DC voltage more than he can by an AC voltage. It interferes with the normal functioning of the nervous and muscular systems, causing severe muscle contractions.

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The equation describes the force acting on a wire carrying current I and having length L in a magnetic field. Where is the angle formed by the wire and the magnetic field, and F=ILB sin x.

magnitude of the magnetic force experience

by a cable is 2.64 x 10 ^ -3 N

F = ILB sin x

 = 2 x .03 x 44 x 10^ -3 x sin 90 = 2.64 x 10 ^ -3 N

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The speed of the water balloon dropped out of a dorm window 17 m above the ground when it hits the ground is 18.25 m / s

v² = u² + 2 a s

v = Final velocity

u = Initial velocity

a = Acceleration due to gravity

s = Displacement

d = 17 m

a = 9.8 m / s²

u = 0

v² = 0 + ( 2 * 9.8 * 17 )

v² = 333.2

v = 18.25 m / s

The equation used to solve the problem is an equation of motion. An equation of motion is used to describe the position of an object in motion with constant acceleration.

Therefore, the speed of the water balloon when it hits the ground is 18.25 m / s

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The category with the lowest joint relative frequency is Chocolate cupcakes with vanilla buttercream.

Relative frequency = Subgroup frequency / Total frequency

Some of the relative frequencies are given. From that we can find the remaining frequencies using basic addition and subtraction.

                                                 Vanilla     Chocolate      Total

Vanilla Buttercream                    0.15            0.06           0.21

Cream Cheese Icing                   0.19            0.14            0.33

Cookie Butter Buttercream        0.26           0.20           0.46

Total                                             0.60           0.40           1.00

Joint relative frequency = Joint frequency / Total frequency    

The joint relative frequency of

Therefore, the category with the lowest joint relative frequency is Chocolate cupcakes with vanilla buttercream.

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Mass does not change thus the object would have the same mass in ay planet or the moon.

What is the mass?

We need to look at the mass of the body as the quantity of matter that we can find in the body. This implies that the more of matter that we can find in a particular object, the more the mass of the object. It is also possible to define the mass as the quantity of the inertia in an object. These are the basic ways that the mass of the object could be considered or understood in this case.

We know that the mass of the object does not change. This is because the quantity of the matter that an object has is not going to change no matter where the object is found whether on the earth or in the moon.

Having said this, we can now agree that the mass of the object would stay the same both on earth and in the moon.

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By definition we have that:

Melting: A change from solid to liquid

Sublimation: A change from solid to gas

Condensation: A change from gas to liquid.

Vaporization: A change from liquid to gas

The x and y components of the velocity vector is 17.32 m/s and 10 m/s respectively.

The x-component of the ball's velocity is the velocity of the ball in the horizontal direction or x-axis.

The velocity of the ball in x-direction is calculated as follows;

Vx = V cosθ

where;

Vx = (20 m/s) x (cos 30)

Vx = 17.32 m/s

The velocity of the ball in y-direction is calculated as follows;

Vy = V sinθ

where;

Vy = 20 m/s x sin(30)

Vy = 10 m/s

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The small rocket will be take time 1296 sec.

We are given that,

The thrust of the rocket  = F = 35N

The velocity of the rocket = v = 0.63m/s

The mass of the satellite = m = 72000kg

Therefore , to get time t of the rocket when it would be fired and we use the equation such as , the product of the mass and velocity of an object i.e. known as momentum (p).

p = mv

Where p is the momentum of the rocket, m is the mass and v is the velocity of the rocket.

Since , here we can write Newtonian relations such as, Momentum is equivalence as a function of Force (F) and time (t) which is given as,

p = F t

So that from above two equation we can write as,

mv = Ft

t = mv/F

t = {(72000kg) ×(0.63m/s)}/35N

t = 1296 sec

Therefore, the rocket will be fired in 1296 seconds.

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Answer:

50 N

Explanation:

The change in momentum in this case can be calculated in this way

Impulse (Ns) = force (N) X time (s)

We have Impulse and time here:

10Ns= force X 0.2s

We rearrange the formula to get force

10 ÷ 0.2 = 50

Therefore average force is 50N

When you place the ball in your palm (facing up or sideways) during a dribble it is called carrying.

Carrying occurs when the dribbling player continues to dribble after allowing the ball to come to rest in one or both hands and/or places their hand underneath the basketball. Carrying is a violation of the basketball rules.

There is  a type of carrying, known as palming which involves holding the ball in one hand in a grip without allowing it to fall naturally.

Dribbling in basketball is referred to as a repetitive action in which a player uses one hand to bounce the basketball continuously on the court.

There are types of dribbling in basketball which includes:

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Answer:

1. The bus ride was 30 minutes

Explanation:

30 minutes = time

meters = distance

miles = distance

kilometers = distance

Explanation

The magnitude of the momentum of an object is given by:

where p is the momentum

m is the mass of the object

v is the mass of the object

so

Step 1

ind the momentum of aeach vehicle

a)

let

mass=1000 Kg

v=20 m/s

replace and calculate

b

let

mass=2000 Kg

v=5 m/s

replace and calculate

c

let

mass=1000 Kg

v=10 m/s

replace and calculate

d)let

mass=500 Kg

v=20 m/s

replace and calculate

e)xlet

mass=4000 Kg

v=5 m/s

replace and calculate

f)let

mass=500 Kg

v=10m/s

replace and calculate

Step 2

ow, raknk the automobiles based on the magnitude of the momentum( from the largest to smallest)

so

(automoblile 1 is the one on the left)

I hope this helps you

The gravitational potential energy depends on the altitude, more altitude means more potential energy. But, equal altitude means equal potential energy.