Which path in the figure below would the ball most closely follow after it exits the channel at "y" and moves across the frictionless table top?(B)OBOf(C)*(D)(E)

Answer:

Option C may be the anawer for it

Given:

the length of the cable is

the mass of the cable is

the tension force on the cable is

Required: velocity of the wave.

Explanation:

to find the velocity of the wave on a cable we use the formula that is given by

Where

is the tension force and

is mass per unit length.

first, we calculate the mass per unit length.

now put this value in the above relation and solve for velocity, we get

Thus, the speed of the wave is 15.81 m/s.

Calculate the weight of the following masses, which are at the Earth's surface. For a mass of 1.5 kg, its weight is (W)=14.7N

Weight is a physical term that means that how much force of attraction is applied on the mass of the object. It can be measured in Newton and Dyne.

To calculate the weight we are using the formula here is,

W= mg

Here we are given,

m= mass of the object on earth. = 1.5 kg

g= The force of acceleration of the object. = 9.8m/s²

We have to calculate the value of the weight = W N.

Now we put the values in the above equation, we get

W=mg

Or, W=1.5*9.8

Or, W=14.7 N

From the calculation we can say that, For a mass of 1.5 kg, its weight is (W)=14.7N

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ANSWER:

300 J

STEP-BY-STEP EXPLANATION:

To know the work required, we must calculate the work in both cases, the difference would be the amount of work necessary for the speed to increase. The work done is the same as the amount of energy increase. The formula for kinetic energy is:

We calculate in each case:

We calculate the difference between the two to find out the work required:

The work required is 300 J

The student changed more than one independent variable.

A dependent variable is a variable that changes as a result of the manipulation of the independent variable. It's the result you want to measure and it depends on the independent variable. In statistics, the dependent variable is also called the response variable it responds to changes in another variable.

In other words, the two characteristics of the experimental design we've talked about so far are that the experiment must have at least two comparable conditions, and the researcher must match the participants to the conditions, not the participants themselves. That's it. The independent and dependent variables are those when you run the experiment. The independent variable is the one that changes and the dependent variable is the one that changes.

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The measure of the indicated angle to the nearest degree is Sin 42°.

An angle is formed when two immediate traces or rays meet at a not-unusual endpoint.

The names of primary angles are Acute angle, Obtuse perspective, proper attitude, straight attitude, reflex angle, and full rotation. A perspective is a geometrical form shaped by using joining rays at their endpoints. An angle is normally measured in stages. there are various varieties of angles in geometry.

A right triangle or proper-angled triangle, or greater officially an orthogonal triangle, formerly called a rectangle triangle, is a triangle wherein one angle is a proper angle or facets are perpendicular. The relation among the perimeters and different angles of the proper triangle is the premise for trigonometry.

calculation:-

perpendicular = 43

hypoteneuse = 64.4

Sin θ = perpendicular / hypoteneuse

            = 43 / 64.4

Sin θ   =   0.66770

Sin θ = 41.889

Sin θ = 42° ( nearest degree)

Sin α = 90 - 42

        = 48°

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A. Opposite

Simple harmonic motion (SHM)is a very important type of periodic oscillation where the acceleration is proportional to the displacement from equilibrium, in the direction of the equilibrium position.

the oscillation of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's law

The restoring force is the force that brings the object back to its equilibrium position (red); the restoring force acts in the direction opposite to the displacement.

therefore, the answer is

A. Opposite

I hope this helps you

These relationships are referred to as the equation of motion.

s = ut + ½at². and v = u + at.

length of the Run way = 1350m

Take of speed of the plane is 90 m/s.

The three equations of motion are as follows:

from equation of motion

s = ut + ½at².

here u =0 a =3 m/s^2 t= 30s

put these values on the above equation

s= 1/2x 3x 30x30= 1350 m

length of the Run way = 1350m

from equation of motion ,

v = u + at.

= 0+ 3x 30 = 90m/s.

Take of speed of the plane is 90 m/s.

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Distance = 1350m, speed = 90m/s

Given:

Initially the Aero plane is at rest. Therefore, initial velocity:

u = 0m/s

Acceleration = 3m/[tex]s^{2}[/tex]

Time taken = 30 seconds

So according to question, we have to find distance & speed

we know that

s = ut + 1/2a[tex]t^{2}[/tex]

Putting all the values, we get S = 1350 m

Now to find speed, we know,

[tex]v^{2} = u^{2} + 2aS[/tex]

Putting all the values,

v = [tex]\sqrt{8100}[/tex]

v = 90m/s

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Recall that the momentum is given by

Where m is the mass and v is the velocity.

So, the momentum of the object is 16 kg m/s.

Now, we need to equate this momentum to find the velocity of the other object.

Therefore, the object must be traveling at 1.6 m/s to have the same momentum as the other object.

Size of the image 0.4cm

Distance u =−30cm

Height h = 2cm

Radius of curvature R = 10cm

We know that,

-f  = R/2 = 10/2 = -5 cm

Now, using the mirror’s formula

1/f = (1/v) + (1/u)

-1/5 = (1/v) - (1/30)

v = 6cm

Now, the magnification is

m = -v /u = -6 / -30 =  0.2

We know that,

m = h`/h

0.2 = h`/2

he = 0.4 cm

Optics is the branch of physics that studies the behaviour and properties of light, including its interaction with matter and the structure of instruments that use or detect it. Optics typically describes the behaviour of visible, ultraviolet and infrared light.

Three main branches of optical science

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We will determine the current as follows:

First, we recall that:

So:

So, the current that a 75-W light bulb draws when connected to 120 V is 0.625 Amps.

Given,

The initial temperature of the room, T₁=20 °C=293.15 K

The final temperature, T₂=40 °C=313.15 K

Let the initial temperature of the room be P₁, and the final temperature be P₂

From Gay-Lussac's law,

On substituting the known values in the above equation,

Therefore P₂ is given by,

Therefore, the new pressure relative to the initial pressure is 1.07 times the initial pressure, i.e., 1.07P₁

Given:

Distance of satellite from Earth = 100 miles

Mass of satellite = 100 kg

If the mass of the satellite were doubled, let's find what would happen to the force of gravity of the satellite on earth.

Apply the gravitational force formula:

Where:

F is the force of gravity

m is the mass.

From the formula above, we can see the force of gravity (F), is directly proportional to the mass.

Since they are directly proportional to each other, if the mass is doubled, the force of gravity will also be doubled.

Therefore, if the mass of the satellite is doubled, the force of gravity of the satellite on the earth will also be doubled.

ANSWER:

Force of gravity will be doubled when the mass of the satellite is doubled.

The supply curve will move to the correct, demonstrating an increment within the add-up to the amount of pizza as of now on the advertisement, in case two or more pizzerias open within the community.

To encourage data on the important picture, see the subtle elements underneath and the attachment.

The add up to several items and administrations that businesses in a country's economy point to offer inside a particular time outline is known as total supply, too known as residential last supply in economics.

It is the overall number of merchandise and administrations that businesses in an economy are arranged and able to offer for sale at a particular cost point.

A alter in supply is characterized as a move to the cleared out or right within the general price-quantity relationship that shapes a supply shift. A alter in supply is characterized as a move to the cleared out or right within the general price-quantity relationship that shapes a supply bend.

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The free body diagram representing this scenario is shown below

From the information given.

mass of car = 1200kg

Recall,

weight = mg

where

m = mass

g = acceleration due to gravity = 9.8 m/s^2

Thus,

weight of car = 1200 x 9.8 = 11760 N

Normal reaction, N has same magnitude with the weight but the direction is opposite. thus,

N = 11760 N

Frictional force = N x coefficient of friction

From the information given,

coefficient of friction = 0.67

Thus,

Frictional force = 11760 x 0.67 = 7879.2 N

Net force of the car = applied force - frictional force

applied force = 1.3 x 10^4 N = 13000 N

Thus,

Net force = 13000 - 7879.2 = 5120.8N

Recall,

net force = mass x acceleration

acceleration = net force/mass = 5120.8/1200 = 4.27 m/s^2

We want to calculate the time it will take Tyler to get to the gas station. We would apply one of Newton's equation of motion which is expressed as

s = ut + 1/2at^2

where

s = distance covered

t = time

a = acceleration

u = initial velocity

From the information given,

s = 15

a = 4.27

u = 0 because the car was at rest(Since it was broken down)

By substituting these values into the equation, we have

15 = 0 x t + 1/2 x 4.27 x t^2

15 = 0 + 2.135t^2

15 = 2.135t^2

Dividing both sides of the equation by 2.135, we have

15/2.135 = 2.135t^2

t^2 = 7.026

t = square root of 7.026

t = 2.65

The time required is 2.65 s

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Kinetic energy was "lost" in this inelastic collision is 151 J

The momentum is  given as :

m₁u₁  +  m₂u₂  =  m₁v₁  +   m₂v₂

The truck and car are locked together after the collision. The truck has same final velocity :

u = (( m₁ + m₂ ) v) / m₁

u = ( (9900 + 1000 ) × 3 ) / 9900

u = 3.30 m/s

now, the change in kinetic energy is given by :

ΔK.E = 1/2 (  m₁ + m₂) v² - 1/2 m₁ u²

ΔK.E = 1/2 ( 1211.11 ) - 1/2 ( 909.09)

ΔK.E = 605.55 - 454.54

ΔK.E = 151 J

Thus, A 9,900-kg truck runs into the rear of a 1,000-kg car that was stationary. The truck and car are locked together after the collision and move with speed 5 m/s.  kinetic energy was "lost" in this inelastic collision is 151 J

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Given:

The mass of the book is m = 0.5 kg

The speed of the book is v = 3 m/s.

To find the type of energy and how much.

Explanation:

As the book is in motion, the energy is kinetic energy.

The formula to calculate kinetic energy is

On substituting the values, the kinetic energy will be

Thus, the kinetic energy will be 2.25 J

ANSWER

197,368,421.1 m/s ≈ 1.97 x 10⁸ m/s

EXPLANATION

The speed of light in a medium with an index of refraction n is given by,

Where c is the speed of light in a vacuum, which is 3 x 10⁸ m/s.

In this case, we have to find the speed of light in Crown glass, whose index of refraction is 1.52 at 20°C. So, the speed of light in this medium is,

Hence, the speed of light in Crown glass is 197,368,421.1 m/s ≈ 1.97 x 10⁸ m/s.

Given:

The car tire rotates 552 times in a minute.

Required:

The number of times the tire rotates in half an hour.

Explanation:

The tire rotates 552 times in a minute.

There are 30 minutes in half an hour.

The number of times the tire rotates in half an hour will be

Final Answer: The tire rotates 16560 times in half an hour.

Answer:

-17.3 m/s

Explanation:

a = -9.81 mm/s^2     vo = 24.9 m/s

vf = vo - at

   = 24.9 - 9.81 ( 4.3) = -17.3 m/s   ( cat is already coming back down)

The satellite’s speed is 7922.4 m / s if the Sputnik I, had a mass of 83.4 kg and a momentum with a magnitude of 660,730 kg·m/s.

p = m v

p = Momentum

m = Mass

v = Velocity

m = 83.4 kg

p = 660730 kg m / s

v = p / m

v = 660730 / 83.4

v = 7922.4 m / s

Momentum can be described as a mass in motion. It is the product of the object's mass and its velocity. It can also be described as the power held by a moving body that it can exert on another body.

Therefore, the satellite’s speed is 7922.4 m / s

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The magnitude of the object’s final velocity, the direction of the final velocity and the change in momentum during the 2.70 s

This is further explained below.

F_x=m a_x=15N

f is force

m is mass

a is acceleration

[tex]&a_x=\frac{15}{3} \\\\ m s^2=5 m_{s^{-2}} \\[/tex]

v_x=0+5 * 2.7

v_x=13.5

v_y=15

[tex]V=\sqrt{v_x^2+v_{y^2}}\\[/tex]

V=0.1 m/s

b)

[tex]\tan \theta=\frac{V_y}{V_x} \\\\ =\frac{18}{13.5} \\\\[/tex]

=1.11

[tex]\theta[/tex]=48.0^0 + from east

c)

Initial momentum,

p_{i x}=0, p_{i y}=m v_y=45 kgmg

final momentum,

P_{f x}=13.5 *3

=40.5kgm

P_{f y}=45Kgm/s

In conclusion, D P_x=P_{1 \text { In }}-P_{i x}=-4.5kgm/s toward west

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Inquiry is a process prompted by curiosity, observation or question.

Inquiry is driven by curiosity, wonder, interest and/or a need to answer a question. Being able to ask rich questions enables students to construct their knowledge and develop an understanding of concepts and experiences.

We know that the momentum is conserved on the system this will mean that:

where:

At the beginning the cars are stuck together and we can assume they are at rest; we know that after the explosion the velocity of the 1 kg car is -2 m/s; then we have:

Therefore, the velocity of the 2 kg car is 1 m/s.

The earth is accelerating toward the apple at a rate of 6.2 × 1025 m/s2.

The apple weighs m = 0.37 kg.

The apple's speed when it approaches the earth's surface is 9.8 meters per second.

Earth's mass, M, is 5.98 × 1024 kg.

Using Newton's Second Law of Motion, we may now:

The strength of the force exerted by Earth on the apple is,

F = ma

⇒ F = 0.37 × 9.8

⇒ F = 3.626 N

We are informed that the apple must exert an equal but opposite force on Earth in accordance with Newton's third law of motion.

Therefore, the force exerted by the apple on Earth will be of the following magnitude:

F = 3.626 N

Let "A" be the acceleration of the earth relative to the apple in m/s2.

Thus,

The following will be used to determine how quickly the earth is moving toward the apple:

F = MA

⇒ 3.626 = [5.98 × 10²⁴] × A

⇒ A = 3.626 / [5.98 × 10²⁴]

⇒ A = 0.606 × 10⁻²⁴

⇒ A = 6.06 × 10⁻²⁵ m/s²

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velocity differs from speed in that velocity indicates a particle's Direction of motion.

For the majority of us, speed and velocity can be a little puzzling. Speed and velocity are different in that speed just gives us an indication of how quickly an object is going, whereas velocity not only tells us an object's speed but also the direction in which it is travelling. In contrast to velocity, which is defined as a function of displacement, speed can be defined as a function of the distance travelled. A body's instantaneous velocity is its speed right now. Average velocity is defined as total displacement divided by total time and is provided by the formula v = x/t, where x is the body's total displacement and t is the time. Average speed is never greater than average velocity, and vice versa.

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The components can be found as:

When the swing moves from the lowest point up to either peak, the main force acting is momentum; and when the swing falls from either peak to its lowest point, the main force acting is gravity. If you do not pump your legs fast enough, air resistance along with gravity will keep you down.

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