A grocery shopper tosses a(n) 8.7 kg bag of
rice into a stationary 18.1 kg grocery cart.
The bag hits the cart with a horizontal speed
of 5.3 m/s toward the front of the cart.
What is the final speed of the cart and bag?
Answer in units of m/s.

The velocity of the balls after collision is 0.33m/s and the loss in kinetic energy is 0.126J

Inelastic collision occur when only the momentum is conserved but there is loss in kinetic Energy.

This means that the momentum before collision is equal to the momentum after collision.

therefore m1v1+(-m2v2) = (m1+m2)v . where v is the common velocity after collision. The negative sign shows that they are moving in opposite direction.

m1= 30g = 0.03kg

m2 = 15g = 0.015kg

v1 = 2m/s

v2 = 3m/s

0.03× 2- 0.015× 3= (0.03+0.015)v

0.06-0.045= 0.045v

0.015= 0.045v

divide both sides by 0.045

v = 0.015/0.045

v= 0.33m/s

the kinetic energy before collision = ½×0.03×2²+½×0.015×3²

= 0.06+0.068= 0.128J

kinetic energy after collision = ½× 0.045× 0.33² = 0.0025J

loss in kinetic energy= 0.128J -0.0025J = 0.126J

therefore the The velocity of the balls after collision is 0.33m/s and the loss in kinetic energy is 0.126J

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Answer: 3 kg

Explanation:

The formula for potential energy is Ug=mgh where Ug is potiental energy, m is mass, g is the acceleration caused by gravity which is either 9.8 m/s^2 or 10m/s^2 depending on your textbook and h is the height and or displacement. So…

120 = m(10)(4)

120=40m

m= 3 kg

Answer:

Explanation:

Given:

h = 4 m

W = 120 J

g = 10m/s²

_________

m - ?

W = m*g*h

m = W / (g*h) = 120 / (10*4) = 3 kg

Two real life examples of increasing friction are: tires of car are made rough to increase the friction and when a ground becomes slippery after rain then it is made rough by using sand to increase friction.

Friction can be increased by : making the surfaces rough, pressing the surfaces harder against each other, increasing normal force, using sliding motion rather than rolling motion and increasing contact surface area.

When we walk on the ground or the floor then  it is the frictional force only that is responsible for holding our feet to the ground. On slippery surfaces or ice, the friction is less, therefore we tend to slip on these surfaces.

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Answer:

because of the softness

Explanation:

the bounency of the floor makes it to where it bounces instead of breaking

Hot a most massive planet, Jupiter uses the same mass star for all schematics.

Some examples of the power of gravity are as follows: the force that holds the gases in the sun. the force used to propel a ball downward after it has been hurled into the air. the mechanism that causes a car to drift downhill even when the gas pedal is not depressed. a glass you dropped hitting the ground with power.

Because it consistently attempts to pull masses together rather than pushing things apart, the gravitational force is known as attractive. It is obvious that the gravitational force is inversely correlated with the masses of the two interacting objects.

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The zebra population is likely increasing because there is an abundance of food available in the savannah.

This is likely putting pressure on the small animal populations in the Red Gra, as zebra are competing for the same food sources.

To help prevent the small animal populations from going extinct, we could establish a protected conservation area for the small animals and limit the number of zebra that can graze in the area.

Additionally, we could introduce more vegetation to the savannah to provide more food sources for both the zebra and the small animals. This could help reduce competition between the two groups and create a more sustainable environment for all species.

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When a light wave hits the surface of a pool, some of the light will be reflected off the surface, while the rest will be absorbed by the water and pass into the pool. The angle at which the light hits the surface will determine how much light is reflected and how much is absorbed. If the light hits the surface at a perpendicular angle (90 degrees), most of the light will be reflected, resulting in a strong, sharp reflection on the surface of the pool. If the light hits the surface at a shallow angle (less than 90 degrees), more of the light will be absorbed by the water, resulting in a weaker or distorted reflection on the surface.

The light that is absorbed by the water will continue to travel through the water, but its intensity will decrease as it travels. This is due to a process called absorption, where the water molecules absorb the energy from the light and convert it into heat. The deeper the light travels into the pool, the more the water will absorb the light, and the dimmer the light will become.

Additionally, the light that enters the pool may be scattered by particles or other objects in the water, which can cause the light to spread out and become less focused. This can cause the light to appear blurry or distorted when viewed from different angles. The color of the light may also be affected by the water, as different colors of light have different wavelengths and are absorbed by the water at different rates. This can cause the light to appear different colors when viewed from different depths in the pool.

Technology is the universe of tools, means, and methods through which we interact with our environment. [TRUE]

Apart from being divided into several types, technology will then provide many benefits in all fields.

1. Easy to receive information

The first positive side of technological development is the ease of receiving information, both locally and internationally. Unlike in the past, in this modern era, we don't have to bother buying newspapers.

2. Easy to communicate

With the messaging application that can send messages, both voice messages and text messages as well as telephone, which will then make it easier to communicate. Unlike the past, communication still has to be through letters and you have to send it to the post office. This letter cannot directly reach the recipient of the letter. It also requires quite expensive costs and takes a long time.

3. More Practical Shopping

In the past we had to go to the market or other shopping places and it took a long time. It's different from now, you can simply order various needs just by using an online shopping application. Then pay for it and wait for the order to arrive at home without the hassle of leaving the house.

4. Learning becomes easier

In the past we had to buy thick books and cost a lot. Right now you only need to buy ebooks, although not a few are paid, but there are many e-books that you can get for free. Besides being able to read books easily, the rapid development of technology will then facilitate the teaching and learning process. Especially during a pandemic like this. The benefits of this technological development are also very necessary for students and teachers who teach.

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The distance that a point on the edge of the wheel would have traveled in 6.8 seconds of time is 19.85 meters.

The rate by which the body changes its angle with respect to the time is called the angular velocity of a body.

Given, wheel 31 cm in diameter accelerates uniformly from 240 rpm to 360 rpm in 6.8 s.

Given ω0 = 240,

ω0 = 240 (0.1047)

= 25.1 rad/s

α2 = 360 (0.1047)

= 37.7 rad/s

The angular acceleration is given as,

a = Δω/t

= ω - ω0/t

= 37.7 - 25.1/6.8

So, a = 1.85 rad/s²

AS we know, Ф= ω0t + 1/2 a t²

= 25.1 * (6.8) + 0.5 * (1.85) * 6.8²

= 85.34 + 42.77

Ф = 128.11 rad

length of travel, l = Ф *d/2

=  128.11  * 0.31/2

l = 19.85 m

Thus, distance that a point on the edge of the wheel would have traveled  is 19.85 meters.

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If the mass of one object is doubled and the mass of the other object is tripled and the separation distance between the objects' centers is doubled, then the new force of gravitational attraction would be 210 units.

What is the gravitational force between two objects?

The gravitational force of attraction between two objects in the universe is directly proportional to the product of masses of the object and inversely proportional to the square of the distance between the objects.

F = Gm₁m₂/r²

where;

when mass of one object is doubled and the mass of the other object is tripled, we will have;

F' = G(2m₁ x 3m₂)/r²

Also when separation distance between the objects' centers is doubled,  the new force of gravitational attraction becomes;

F' = G(2m₁ x 3m₂)/(2r)²

F' = G(2m₁ x 3m₂)/(4r²)

F' = 6/4 (Gm₁m₂/r²)

F' = 6/4 (F)

F' = 6/4 (140 units)

F' = 210 units

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These are the physical quantities.

a physical quantity is any of the physical property of to a  material or system that can be quantified, that is, can be a  measured using numbers. A physical quantity can be the  expressed as a value of the  which is the algebraic of the multiplication of a numerical value and a unit.

We have to talk about the correlations between the quantities. There's an additional term called acceleration. Talk about how fast you can get. The largest charities are referred to as the term and largest charities are referred to as the term  and largest charities are No for food and physical quantities. We have something for rotation. There is a physical quantity. We have physical quantity now. We have a moment of inertia that can be used to work for work or work as well. I will call you either by talk or rotation. We have a kind of technology that rotates for linear momentum and P. This is a moment for impulse. We have an impulse if it's for something.

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As per the given statement, If there is to be no relative motion between the train and the edge of the platform the train should  move equally as compared to the rim speed of the rotating platform.

The motion of one moving body in respect to another fix body is termed as relative motion.

The velocity of one object in respect to the other one is know as their relative velocity. It is the time rate change of velocity of the first object with respect to the observer or the another object

Relative velocity of train to rotating platform = 0

hence,

as per the equation,

⇒the relative velocity(v)= vt-vp

⇒v relative=0

⇒0=vt-vp

⇒vt=vp

Hence, the velocity of train should be equal to the rim speed of rotating platform.

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The student should continue investigation as previous ones but increase the number of magnets.

In this investigation,

The rotation rate depends on voltage , number of loops and number of magnets.

In investigation 1 , voltage is changed keeping others constant.

In investigation 2 , number of loops is changed.

So in Investigation 3 , number of magnets should be changed.

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When fundamental frequency, length and tension is given then the wire's mass per unit length is 9.23 * 10 ^-3 g/m.

The fundamental frequency is defined as the lowest frequency of a periodic waveform. Fundamental frequency is defined as the average number of oscillations per second and is expressed in Hertz.

Given ; length , l= 0.54m Tension, T = 1373N

Frequency , f = 357 Hz

f= (1/2l)*(√T/m)

m = T/(4l² f²)

= 1373/(2*0.54² * 357²)

m= 9.23 * 10 ^-3 g/m

The wire's mass per unit length in grams/meter is 9.23 * 10 ^-3 g/m.

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If a full moon is visible on November 2, then waning crescent would be the next phase on November 13. If 21 October has waning crescent moon then 29 would have waxing crescent moon.

How long are moon phases?

Moon phases vary in length, depending on the position of the Moon relative to Earth. During a single orbit of the Moon, it passes through eight distinct phases, each lasting an average of three and a half days. The phases in order are the New Moon, Waxing Crescent, First Quarter, Waxing Gibbous, Full Moon, Waning Gibbous, Last Quarter and Waning Crescent. During a lunar cycle, the Moon passes through each of these phases in the same order, taking an average of 29 days, 12 hours, and 44 minutes to complete the cycle.

After 11 days a full moon transitions to a waxing crescent moon. After 8 days a waxing crescent moon goes from waning to waxing crescent moon.

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In the electric field, the like charges repel each other, and the unlike charges attract each other, whereas in a magnetic field the like poles repel each other and the unlike poles attract each other.

Electric field is a region or space around a conductor where electric force can be felt. While magnetic field is the region or space around a bar magnet where magnetic force can be felt. Electric and magnetic force are both force field and they are both vector field.

In electric field, like charges repel and unlike charges attract similarly like poles repel and unlike poles attract in magnetic field.

One difference between magnetic poles and electric charges is that magnetic pole always appear on a magnet as north and south pole but a single entity of charge can exist.

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Among electromagnetic waves, UV rays are most dangerous because exposure to these radiation cause serious problems in living organism. Therefore, the frequency of wave is 25 Hz.

Electromagnetic wave is a wave which contain two component one is electric component and other is magnetic component. The electric and magnetic component are perpendicular to each other. There are so many wave that comes under electromagnetic wave like infrared wave , radio wave

speed of wave= distance travelled by wave ÷ time taken by the wave

speed of wave=  5,000m/s

distance travelled by wave = wavelength of wave = 200 meters

Substituting all the given values in the above equation, we get

5,000m/s=  200 meters ÷ time taken by the wave

time taken by the wave= 0.04 s

Frequency = 1 ÷time taken by the wave

                  = 1÷0.04

                  =25 Hz

Therefore, the frequency of wave is 25 Hz.

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The speed of sound in air at the temperature of 136°F (331 K) = 365.71 m/s

The speed of sound in air depends on temperature, so the higher the temperature, the greater the value of the speed of sound.

The equation for determining the speed of sound with a change in temperature is:

v = v₀ + 0.6(∆T)

where:

v = the final sound velocity (m/s)

v₀ = the initial sound velocity (m/s)

∆T = temperature change (°C)

Note: The speed of sound in air at 0°C is 331 m/s.

We have ∆T = 136°F ⇒ 57.85°C

So,

v = 331 + 0.6 (57.85)

= 365.71 m/s

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The coefficient of friction between two surfaces will not be same as it always depends on the nature of both surfaces.

It is not necessary that coefficient of friction between two surfaces will be same. The coefficient of friction will depend on the objects that are causing friction and the value is usually between 0 and 1 but sometimes, it can be greater than 1. A value of 0 implies that there is no friction at all between the objects (in case of superfluidity).

The coefficient of friction for an ice block placed on a copper surface will be different than the coefficient of friction for a wooden block placed on the same surface.

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The cutoff wavelength and cutoff frequency of the photoelectric effect is  4.782 ×10⁻¹⁴ m and 0.627 × 10⁻⁶s⁻¹ respectively.

We are given that,

Work function =  Φ = 4.14ev

The work function relation can be given by the formula ,

Φ = hc/λ

Where,  Φ is the work function , h is the plank's constant , c is the speed of light , λ is the wavelength of the light,

Putting the values in the above equation to get wavelength of light,

λ = hc/ Φ

λ  = [(6.62607015 × 10⁻³⁴J-S)(3 × 10⁸m/s)]/ 4.14ev

λ = 4.782 ×10⁻¹⁴ m

The frequency can be calculated by the formula ,

ν = c /λ

ν = (3 × 10⁸m/s)/(4.782 ×10⁻¹⁴ m)

ν =0.627 × 10⁻⁶s⁻¹

Therefore ,the cutoff wavelength and cutoff frequency of the photoelectric effect would be  4.782 ×10⁻¹⁴ m and 0.627 × 10⁻⁶s⁻¹ respectively.

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One advantage of using a solid-state detector is that it converts part of the particles energy directly into electric current.

Solid-state devices are sensitive to charged particles and are essentially transparent to gamma rays. Compared to conventional detectors, they are physical of remarkably small size.

Solid-state detectors provide a signal by collecting the charge liberated in the passage of the particle through a semiconductor.

Solid-state detectors are also called Semiconductor Radiation detectors. In these detectors, a semiconductor material like a silicon or germanium crystal constitutes the detecting medium.

An extremely pure solid-state detector is called an intrinsic semiconductor. An example of intrinsic semiconductors is silicon and germanium.

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Sports shoes provide more than just a protective cover for the feet. They should provide support for the ways the feet and ankles will move and be adaptable to the terrain.

The right footwear must be designed specifically for the movements of one's sport, whether basketball or other forms of exercise. Elements like shock absorption, ankle support, balance and stability are very essential for better performance.

Different kind of shoes are suited for certain sports. If you are playing a particular sport for more than 2 days a week then, choose a pair of shoes suitable for that particular sport to protect yourself from injury.

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0.265m/sec is the acceleration of the block when it is pulled with force of 5.3n having mass 2kg with friction 0.9N

F=ma, Where as F= force m= mass a= acceleration f = friction

F=5.3N  m=2kg a=? f=0.9N

The net force applied on the block is original force - friction force which is

(F-Ff)=ma

5.3- (5.3)(0.9)= 2x a

a= 0.265m/sec

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The mass defect of Fe -56 atom with a mass of 55.921 amu and having 26 protons and 30 neutrons is  0.52823 amu.

Mass defect is the difference in the original mass of the atom from the mass added by the mass of protons and neutrons. Let Mp be the mass of protons and Mn that of neutrons and mass of electrons is negligible.

mass defect Δ M = [Z Mp + (A-Z) Mn )] - Matom

Given mass of protons Mp = 1.00728 amu

Mn = 1.008665 amu.

Number of protons = 26 and neutrons = 30

Then, Δ M = [(26 ×1.00728 amu) + (30 ×1.008665 amu )] - 55.921 amu

                 =  0.52823 amu.

Hence, the mass defect of Fe- 56 is  0.52823 amu.

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Answer:

Use the own word element

Explanation:

Dont choose a decision that is too personal for others to read.

Answer:

Explanation:

Given:

Q =  30J   (The system did not prepare energy, but allocated)

W =  + 50 J  (System operation)

__________________

ΔU - ? (Change in internal energy)

ΔU = Q - W =  30 - (50)  = - 20J

The area under the curve in a PV-diagram represents the work done to the gas. If the area is maximum, the amount of work completed will be the highest. In this scenario, area is maximal when we take path A.

The related changes in volume and pressure in a system are represented by a pressure-volume diagram, also known as a PV diagram or a volume-pressure loop.

Thermodynamics, cardiovascular physiology, respiratory physiology, all frequently use them. The fourth and the most basic state of matter is gas. Its possible for atoms to make up a pure gas.

W = P* change in volume = 1.7 * 1.01 * 5.8 * 105 is the formula for the work completed.

W = 9.96 * 10⁵ J

The question is incomplete. The diagram is missing in the question. It is attached to this answer.

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The mass of the soft drink is 3.05 kg.

The heat energy must be removed in order to cool the soft drink is 227,835 J.

The mass of the soft drink is calculated by applying the following formula.

m = ρ V

where;

m =  1015 kg/m³ x 0.003 m³

m = 3.05 kg

The heat energy must be removed in order to cool the soft drink is calculated as;

Q = mcΔθ

where;

Q = mcΔθ

Q = 3.05 x 4150 x (23 - 5)

Q = 227,835 J

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A 500. Kg car is driving with a speed of 4.00 m/s, the momentum of car is 2000 kg.m/sec

Momentum is characterized as the intensity of a body's motion. As momentum relies on both velocity and the direction of the body's motion, it is quantified by "mass velocity". Because velocity is a vector, momentum is a also a vector quantity, whereas mass is a scalar number.

Given that,

mass of car (m) = 500 kg

velocity of car (v) = 4.00 m/sec

Thus, momentum (p) = m × v

p = 500 kg × 4.00 m/sec

p = 2000 kg.m/sec

Thus, momentum of car is 2000 kg.m/sec

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Answer: Pressure exerted by the boy is 4×[tex]10^{5}[/tex] pa.

Explanation:

Given: Mass (m) = 50 kg

Gravitational force (g) = 10 [tex]m/s^{2}[/tex]

Width of a blade = 0.5 cm

Length of a blade = 25 cm

To find: P = ?

As we know that,

Pressure [tex]P = \frac{F}{A} ...(1)[/tex]

Where, F is force and A is Area

Force is given by,

[tex]F = mg[/tex]

[tex]F = (50)(10)[/tex]

[tex]F = 500 N[/tex]

Area is given by,

Area = length × Width

         [tex]= (0.5)(25)\\= 12.5 cm^{2} \\[/tex]

Convert the area into [tex]m^{2}[/tex].

⇒ Area = [tex]= 0.00125m^{2}[/tex]

Put the value of F in equation (1)

[tex]P = \frac{500}{0.00125}[/tex]

[tex]P = 400,000 pa[/tex]

P = 4×[tex]10^{5}[/tex] pa

Hence, Pressure exerted by the boy is 4×[tex]10^{5}[/tex] pa

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