A 1.0kg cart moving right at 5.0 m/s on a frictionless track collides and
sticks to a second cart moving left at 2.0 m/s. The two carts have a final
speed of 1.0 m/s to the left.
What is the mass of the second cart?

This is a time dilation exercise. The time taken for the CD to last as measured by a clock on earth is given as: 67.08 minutes.

Under the theory of special relativity, time dilation is the "slowing down" of a clock as determined by an observer in relative motion with respect to that clock.

Recall that the equation for time dilation is given as:

t = t₀/√(1- (v²/c²)

Where:

t₀ is the observer in the space craft

t  is the observer on earth

v is the speed of the space craft which is given as 2 x 10⁸m/sec

c is the speed of light which is given as 3 x 10⁸m/sec

Hence

v/c = 2 x 10⁸/ 3 x 10⁸

= 2/3

Thus,

t = 5/√(1-(4/9)

= 50 √(9/5)

= 150/√5

= 150 /2.2361

= 67.08 min

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Answer:

1. iodine

2. convection

3. radiation

4. conduction

5. gases

6. expansion

7. freezing point

8. absorber

9. thermos flask

10. mercury

No, the use of a giant vacuum-like strainers is not an effective way to remove plastic because the patch tend to be very big and deep that it would need a lot of human effort or strength to filter the trash and the act would lead to disrupt of life in the water column.

Plastic is known to be a term that connote the  material that is made up of a key ingredient of an organic substance and it is made up of large molecular weight.

Note that It is also seen as polymers that belongs to long carbon chains. and there are a lot of waste disposal in the ocean which disrupt marine activities.

Hence, No, the use of a giant vacuum-like strainers is not an effective way to remove plastic because the patch tend to be very big and deep that it would need a lot of human effort or strength to filter the trash and the act would lead to disrupt of life in the water column.

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The normal force acting on April as she stands on a flat surface is 705.6 N.

Normal force of the girl

Fₙ = mg

where;

Fₙ = 72 x 9.8

Fₙ = 705.6 N

Thus, the normal force acting on April as she stands on a flat surface is 705.6 N.

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The force of gravity between Earth and Mars will decrease.

The gravitational law is given as-

           F = G mM/r²

  here,  m= mass of rocket

             M = mass of earth

             r = distance between earth and rocket

So, as rocket takes off from earth and fly towards mars then the distance starts to increase between earth and rocket, and the gravitational pull between them starts to weaken. Then a point will reach when rocket will far from gravity of earth and could probably enter the gravity of Mars.

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The velocity of the wood board which is resting on very smooth ice in the middle of a frozen lake relative to this ice is 0.905 m/s

It states the amount of momentum remains constant

Momentum of a moving body is the product of mass times velocity.

Formula for momentum:

When the two objects collides, then the initial collision of the two body is equal to the final collision of two bodies by the law of conservation of momentum.

here,

mass of wood, m=58.5 kg

mass of boy, M=41.7 kg

velocity of the boy V=1.27 m/s

Thus,

The conservation of momentum,

m*v = M*V

substituting the value,

(58.5*v) = 1.27* 41.7

v = 52.95 / 58.5

v = 0.905 m/s

Thus, the velocity of the wood board which is resting on very smooth ice in the middle of a frozen lake relative to this ice is 0.905 m/s.

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Density of rock = 3.23 Kg/m^3

Given:

mass of Moon rock = 8.94 kg

apparent mass of Moon rock = 6.18 kg

To Find:

density of the rock

Solution: It is a universal fact that mass of an object remains constant whether measured on earth or on moon.

Mass of rock on moon/earth = 8.94 kg

When the block is immersed in water then;

Loss in weight = weight of water displaced

Loss in weight = 8.94 - 6.18 = 2.76 kg

As we know that water has a density of 1g/cm^3 (1000kg/m^3)

Volume of water = volume of the rock = Mass/density = 2.76 kg

density of rock mass/volume = 8.94/2.76 = 3.23 Kg/m^3

Density of rock = 3.23 Kg/m^3

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False, A patient who is lactose intolerant will not  have a normal glucose curve after ingesting a dose of lactose.

What is lactose intolerant ?

Types of lactose intolerance -

The symptoms of lactose intolerance?

Symptoms of lactose intolerance include nausea, cramps, gas, bloating, or diarrhea within 30 minutes to 2 hours after consuming milk or dairy products.

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The apparent weight of a 1.1 g drop of water is 4.24084 N.

Solution:

N = Speed of rotation = 1250 rpm

D = Diameter = 45 cm

r = Radius = 22.5 cm

M = Mass of drop = 1.1 g

Angular speed of the water = [tex]\omega = \frac{2\pi N}{60}[/tex]

[tex]\omega = \frac{2\pi \times 1250}{60}[/tex]

[tex]\omega = 130.89 rad/s[/tex]

Apparent weight is given by

[tex]W _a = M\omega^{2}R[/tex]

[tex]W_a = 1.1 \times 10^-^3\times (130.89)^2\times 0.225[/tex]

[tex]W_a[/tex] = 4.24084 N

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Question:

The spin cycle of a clothes washer extracts the water in clothing by greatly increasing the water's apparent weight so that it is efficiently squeezed through the clothes and out the holes in the drum. In a top loader's spin cycle, the 45-cm-diameter drum spins at 1250 rpm around a vertical axis. What is the apparent weight of a 1.1 g drop of water?

The total work done on the car is 784Joule.

V= vinal velocity= 20m/s

t= time = 10s

a= acceleration

=> a= 20/10= 2m/s²

V²-U² = 2aS

=> 400= 4S

=> S= 400/4= 100m

Work done by frictional force= frictional force × distance

= (0.2×4×9.8)×100

= 784Joule

Thus, we can conclude that the work done on the car is 784Joule.

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The energy converted is 48 Joules

We have the formula for energy in a circuit as

Energy = Power × time

Power = I^2 R

Current, I = 2.0 A

time = 1 minute

Resistance = 12 Ohm

Substitute into the formula

Power = 2 × 2 × 12

Power = 48 Watts

Energy = 48 × 1

Energy = 48 Joules

Thus, the energy converted is 48 Joules

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According to the research, solar energy is a renewable energy used in generating electricity and obtaining thermal energy.

It is a type of energy derived from natural sources known as renewable energy that is obtained from solar radiation that reaches the Earth in the form of light, heat or ultraviolet rays.

Solar energy can be used to generate electricity, hot water supply and home heating.

Therefore, we can conclude that according to the research, solar energy is a renewable energy used in generating electricity and obtaining thermal energy.

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Answer:

5.0×10^-9

Explanation:

velocity = frequency × wavelength

3.0×10^8=f600×10^-9

divide both sides by 600×10^-9

f=3.0×10^8/600×10-9

f=5.0×10^-9

The wavelength of an electromagnetic wave is 600 nm. The frequency of the electromagnetic wave is 5.0 × 10^14 Hz.

To find the frequency of an electromagnetic wave, we can use the equation:

Frequency (f) = Speed of light (c) / Wavelength (λ)

where:

c = speed of light in a vacuum = 3.0 × 10^8 m/s

λ = wavelength of the electromagnetic wave in meters

First, we need to convert the given wavelength from nanometers (nm) to meters (m). Since 1 nm = 1 × 10^-9 m, the wavelength is:

λ = 600 nm × (1 × 10^-9 m/nm) = 600 × 10^-9 m = 6.0 × 10^-7 m

Now, we can calculate the frequency using the equation:

f = c / λ

f = 3.0 × 10^8 m/s / (6.0 × 10^-7 m)

f = 5 × 10^14 Hz

So, the frequency of the electromagnetic wave is 5 × 10^14 Hz (hertz).

This means that the wave oscillates or completes 5 × 10^14 cycles per second. Higher frequencies correspond to shorter wavelengths and vice versa. Electromagnetic waves with higher frequencies are more energetic, such as X-rays and gamma rays, while waves with lower frequencies, like radio waves, have longer wavelengths and are less energetic.

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answer

so unit of velocity is m/s

displacement=600m

5minutes should be converted to seconds

5×60=300 seconds

so,

velocity= displacement÷time

= 600m ÷300s

=2m/s or 2ms^-1

Answer:

2 m/s

Explanation:

we have given

distance traveled by body =600m

time taken = 5*60 =300 sec( si unit of time is second)

velocity =?

we know that

velocity =distance traveled/ time taken

=600/300

= 2 m/s

Answer:

A, conduction.

Explanation:

Thermal conduction, by definition, is "a phenomenon  that occurs through the interaction of neighboring atoms and molecules, transferring their energy/heat (partially) to their neighbors". Fiberglass insulation works mainly by preventing thermal conduction, as would a rubber handle of a pot on a hot stove.

Hope this helps!

Work is being done when Jessica pushes a 25 kilogram cart a distance of 10 meters and Bane carries a 20 kilogram box a distance of 50 meters.

Work is the product of force and distance in the direction of the force. And the S.I unit of work is Joule

Looking at the given options one by one;

O Jessica pushes a 25 kilogram cart a distance of 10 meters. Work is done by Jessica. The work done = 25 x 10 x 10 = 2500 Joules

O A weightlifter holds a 100 kilogram barbell over his head. The weightlifter does no work.

O Bane carries a 20 kilogram box a distance of 50 meters. Bane does work. The work done = 20 x 10 x 10 = 2000 Joules

O Ali is trying to push a truck away from the parking lot. Since there is no movement, there is no work done.

Therefore, Work is being done when Jessica pushes a 25 kilogram cart a distance of 10 meters and Bane carries a 20 kilogram box a distance of 50 meters.

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It is usually best to reduce speed to suggested limit when  a driver gets to a speed hump and is denoted as option D.

This refers to a situation in which the speed or acceleration of a body is reduced while in the other hand, acceleration refers to the condition in which a body increases its speed or acceleration.

Speed humps are structures which are placed in the road in other to slow vehicles to between 10 to 15 mph. They ensure over speeding is checked due to it being dangerous to other users.

Applying brake or maintaining current speed may lead to the vehicle being tilted towards the front end which may result in collision and other forms of accident.

This therefore the reason why reducing speed to suggested limit is the most appropriate choice.

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The  charge passing through the circuit in one second is 8 C.

Charge is property of matter that causes experience of force when kept in electric or magnetic field.

Electric charge exists as the physical property of matter that causes charged matter to experience a force when positioned in an electromagnetic field. Electric charges can be positive or negative. Like charges repulse each other and unlike charges attract each other.

Charge, also understood as electric charge, electrical charge, or electrostatic charge and symbolized by q, exists as a characteristic of a unit of matter that represents the extent to which it has more or fewer electrons than protons.

As we know

I =Q/t

where I is current and Q is charge ,t is time

so put the value in formula

8 = Q/

Q  =  8 coulomb.

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The frontage measure is 45 feet.

The British imperial and American customary systems of measurement both use the feet (standard symbol: ft) as a unit of length. One foot has exactly 0.3048 meters since the International Yard and Pound Agreement of 1959. One yard equals three feet in both customary and imperial measurements. One foot equals 12 inches.

Throughout history, numerous regional systems of units, including the Greek, Roman, Chinese, French, and English systems, included the concept of "feet." Its length varied from one nation to another, from one city to another, and occasionally from one trade to another. Its length was often divided into 12 inches or 16 digits, however this was not always the case. Its typical length was between 250 mm and 335 mm.

A lot contains 750 square yards and has a length of 150 feet, what does the frontage measure?

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The prove of  Angle XYZ- Angle NYM is given below:

Note that from the image given;

Since ∠XYZ is said to be congruent to ∠NYM it can be proven by the use of the reflexive property.

The reflexive property is one that informs that any shape is regarded congruent to itself.

Since ∠NYM has a different way to call ∠XYZ that uses a different vertexes, but the sides are made up of the two angles which are said to be the same.

Therefore , ∠XYZ ≡ ∠NYM are proved by the reflexive property.

Since ΔXYZ is the same with Δ NYM, it can be proven by the AA (angle-angle) similarity theorem.

We have 2 angles Δ XYZ and Δ NYM:

Note that ∠YXZ ≡ ∠YNM

              ∠XYZ ≡ ∠NYM

So,  ΔXYZ is said to be the same to ΔNYM and it is proven by the AA similarity theorem.

Therefore, The prove of  Angle XYZ- Angle NYM is given below:

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Answer:

1. parrael

2. corresponding angles theorem

3. NYM

4. AA

Explanation:

just took it

When making segmented bends, the bend radius is the distance from the center point of the circle or object to the centerline of conduit.

Segment bending is a technique for bending conduit in which numerous tiny bends are combined to form a single, bigger bend.  Measure from the elbow's center at the bend's CenterPoint to the intersection of the "degrees of bend" lines to determine your centerline radius (see image above). In fact, the CLR may be determined by obtaining this measurement from any point on the elbow. The distance between segments is calculated by dividing the developed length by the number of shots. When making segmented bends, the bend radius is the distance from the center point of the circle or object to the centerline of conduit. To calculate the degrees per shot, divide 90 degrees by the quantity of shots. Regardless of how many lanes a road or highway has, centerline miles are used to quantify their length. Centerline of conduit miles between the two sides of a divided highway might differ slightly due to divergences and curves. Compared to lane miles, centerline miles provide a more understandable indication of a road's overall length.

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The change in internal energy is 10 J.

Given,

Cross-sectional area, A = 0.10 m²

Pressure of gas, P = 8000 N/m²

Displacement, s = 4 cm = 0.04 m

Heat transferred, H = 42 J

To find,

Change in internal energy =?

We know that, as per Law of thermodynamics,

Change in internal energy = Heat - Work

Force = pressure × area

          = 8000 × 0.10

          = 800 N

Work = Force × Displacement

         = 800 × 0.04

         = 32 J

Change in internal energy = Heat - Work

                                            = 42 - 32

                                            = 10 J

Hence, the change in internal energy is 10 J.

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The length of the uniform meter stick is 50 cm and the mass of the uniform meter stick is 50 g.

The sketch of the uniform stick and the mass will be two based on the given statement.

-------------------------------------------------------  

↓      10cm           Δ       (L - 10 cm)         ↓

200g                                                      M

|---------------15 cm-----------------|

-----------------------------------------------------------------------

              ↓      8.75 cm           Δ       (L - 15 cm)         ↓

          200g                                                               M

From the first diagram, apply principle of moment;

200(10) = M(L - 10) ------- (1)

From the second diagram, apply principle of moment;

200(8.75) = M(L - 15)   ------- (2)

From equation (1); M = (2000) / (L - 10)

From equation (2); M = (1750) / (L - 15)

Solve (1) and (2);

(2000) / (L - 10) = (1750) / (L - 15)

1750(L - 10) = 2000(L - 15)

L - 10 = 2000/1750(L - 15)

L - 10 = 1.143(L - 15)

L - 10 = 1.143L - 17.14

17.14 - 10 = 1.143L - L

7.14 = 0.143L

L = 7.14/0.143

L = 50 cm

M = (2000) / (50 - 10)

M = 50 g

Thus, the length of the uniform meter stick is 50 cm and the mass of the uniform meter stick is 50 g.

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The moon setting on your way to work about two hours after sunrise means it is in the gibbous phase.

This phase of the moon involves its side facing the Earth appearing more than half-lit by the Sun, but is less than fully lit.

This phase occurs few hours after sunrise usually in the early morning which is why it is the most appropriate choice.

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The tension in the supporting cable when the cab originally moves downward is 18422.4 N

What is tension?

Tension is described as the pulling force by the means of a three-dimensional object.

Tension might also be described as the action-reaction pair of forces acting at each end of said elements.

Here,

m =combined mass = 1600 kg

s = Displacement of the elevator = 42 m

g = Acceleration due to gravity = 9.81 m/s²

u = Initial velocity = 12 m/s

v = Final velocity = 0

According to the equation of motion:

[tex]v^{2} - u^{2} = 2as[/tex]

0 - 12^2 = 2*a*42

a = - 144 / 84

a = - 1.714 m/s^2

Now let's write the equation of the forces acting on the elevator. Taking upward as positive direction:

T-mg = ma

T = m(g-a)

T = 1600 ( 9.8-(-1.74))

T=18422.4 N

Hence,

The tension in the supporting cable when the cab, originally moving downward is 18422.4 N

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The film sensor and the long axis of the tooth must be aligned perpendicular to the central ray of the x-ray beam when using the paralleling approach.

To find the answer, we need to know above the paralleling technique in the dental x-ray.

Thus, we can conclude that, the film sensor and the long axis of the tooth must be aligned perpendicular to the central ray of the x-ray beam when using the paralleling approach.

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Which meteorological parameter is expressed as the ratio between the air’s actual water vapour content and the amount of water vapour required for saturation at that temperature: relative humidity.

Water vapour is the primary form of atmospheric moisture. Although its storage in the atmosphere is comparatively small, water vapour is extremely important in forming the moisture supply for dew, frost, fog, clouds, and precipitation.

Water vapour is also the most important greenhouse gas in the atmosphere. Water vapour can be produced from the evaporation or boiling of liquid water or from the sublimation of ice.

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The heat that is required to freeze the water is 1250 kJ. Option B

The freezing point of water is the temperature at which liquid water turns to solid. We know that heat is withdrawn from water when it is frozen. This heat is added when the water melts.

The latent heat of fusion = mL

m =  3.75 kg

L = 333kJ/Kg

Hence;

H =  3.75 kg * 333kJ/Kg

H = 1250 kJ

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