Two cars collide and then stick together in an accident.
Car A has a mass of 1000. kg and is moving 5.00 m/s east, and
car B has a mass of 2000. kg and is moving 2.00 m/s west.
What is the speed of the cars after the collision?
b. 1.53m/s
c. 2.43m/s
a. 0.33m/s
d. 3.93m/s

What’s the answer

Answer:

The Heavier Firefighter

Explanation:

Generally, more massive objects will have more intertia than less massive objects.  As such it takes more force to halt a more massive object if its moving at the same speed as a smaller object. This can also be thought of in the context of Newton's second law. The more force needed to accelerate an object means the more force the object will have.

At equal speed, the firefighter with more weight will have more momentum and exact more force which will cause breakthrough.

According to Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

F = ma

Acceleration is the change in velocity per change in time of motion.

The law can also be written as;

[tex]F = ma = \frac{mv}{t}[/tex]

Also, momentum is given as the product of mass and velocity.

P = mv

Thus, at equal speed, the firefighter with more weight will have more momentum and exact more force which will cause breakthrough.

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Answer:

Jupiter fully revolves around the sun in about 11.9 Earth years, where as Earth fully revolves around it in a year.

Explanation:

Answer:

phytochemical

Explanation:phytochemical is a tool for studying motion

Answer:

9

Explanation:

Shagreen bought the energy star generator for $1800

She saves $200/every year

Therefore the number of years it would take for her to save that amount can be calculated as follows

= 1800/200

= 9

Hence it would take 9 years to save up the money

I'm trying to make an electromagnet that's strength is constantly getting incremented by small amounts every second. I need to know, which would have a greater effect on the electromagnet's strength, amps or volts? (I know increasing the turns and/or density of the magnet wire will increase the strength, but I am looking for answers other than that particular one.)

Answer:

Resultant velocity of the airplane = 80.62 km/h

Explanation:

Given that,

An airplane normally flying at 80 km/h north encounters a wind from the west of 10km/h at right angle to its forward motion a crosswind.

We need to find the resultant velocity of the airplane. It can be calculated as follows :

[tex]v=\sqrt{80^2+10^2} \\\\v=80.62\ km/h[/tex]

So, the required velocity is 80.62 km/h.

Answer:

658.16N

Explanation:

Step one:

given data

mass m= 235kg

Force F= 760N

angle= 30 degrees

Required

The horizontal component of the force

Step two:

The horizontal component of the force

Fh= 760cos∅

Fh=760cos30

Fh=760*0.8660

Fh=658.16N

Answer:

The electrochemical gradient of the ion that is being transported.

Explanation:

Facilitated diffusion through protein is defined as a form of facilitated transport whereby passive movement of ions along concentration gradients are guided by the presence of other ions.

Thus, the electrochemical gradient of the ion being transported is what facilitates it

Answer:

sorry I don't know it

Explanation:

A car drives around a racetrack for 30 seconds. To calculate the average velocity of the car we need to know about distance. from option B and D we can calculate velocity. Therefore option B and D is correct.

Velocity is "rate of change of displacement with respect to time".

i.e. v= dx/dt. it is also defined as displacement over time.

i.e. v=Displacement/Time. Velocity shows how much distance can be covered in unit time. It's SI unit m/s. Dimension of velocity is  [M⁰ L¹ T⁻¹].

Option A) The slope of the car's velocity-time graph.

it gives Velocity/time. we can not find average velocity with this data.

Option B) The total displacement of the car.

when we know displacement and time, we can calculate velocity. therefore this option is correct.

Option C) The area under the position-time graph.

This gives position×time, which is useless to find velocity.

Option D) The slope of the car's position-time graph.

this gives velocity of the car. Therefore this option is correct.

Hence option B and D is correct, we can calculate average velocity from them.

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Answer:

200N appox

Explanation:

Step one:

Given data

mass of ball= 0.143kg

initial velocity of ball u= 42m/s

final velocity of the ball= 49m/s

time of impact= 0.005s

Step two

From the relation Ft=mΔv

we can find the average force as

F=mΔv/t

substitute

F=0.143*(49-42)/0.005

F=0.143*7/0.005

F=1.001/0.005

F=200.2

F= 200N appox

The average force is  200N

The answer is in fact c

The type of reaction the chemical equation represent is a decomposition reaction.

Decomposition reaction is a type of chemical reaction in which a large compound is broken down or degraded into simpler substances.

Therefore, type of reaction the chemical equation represent is a decomposition reaction.

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According to the work-energy theorem, the work done on an object by a net force equals the change in kinetic energy of the object. Essentially kinetic energy is the energy used for motion. Interestingly, as work is done on an object, potential energy can be stored in that object. A moving object has kinetic energy because work has been done on it. When work is done energy in one form is transferred to the kinetic energy of the moving object. To stop the object again, the same amount of work would have to be done to bring it back to rest.

Answer:

KE = 0.262 J

Explanation:

given data

rifle with  mass  Mr = 2.57 kg

bullet with mass Mb = 3.65 g

velocity relative to the ground Vb = 318.4 m/s

solution

we get here final KE of rifle that is express as

KE = 0.5 × Mr × (Vr)²    ..............1

here Vr is

Mb × Vb = Mr × Vr         .........2

put here value

3.65 × [tex]10^{-3}[/tex]  × 318.4 = 2.57 × Vr

Vr = 0.452 m/s

now put value in eq 1 we get

KE = 0.5 × 2.57 × (0.452)²

KE = 0.262 J

Answer:

(A) temperature

Explanation:

Given that thermal properties of a material are those properties that can be observed or felt when the heat is added to the material.

Hence, in this case, the correct answer is "Temperature."

On the other hand, the internal energy is not a thermal property but rather an extensive property that cannot be assessed directly.

Also, work is not a thermal property but rather a process quantity.

Answer:

– 80 Ns.

Explanation:

From the question given above, the following data were obtained:

Mass (m) = 50 kg

Initial velocity (u) = 1.6 m/s

Final velocity (v) = 0 m/s

Impulse (I) =?

Impulse is simply defined by the following equation:

I = Ft = m(v – u)

I = 50 (0 – 1.6)

I = 50 (–1.6)

I = – 80 Ns

Thus, the impulse of the force that stopped her is – 80 Ns.

NOTE: The negative sign indicates that the net force is in opposite direction to her movement.

This question is incomplete, the complete question is;

The wings of some beetles have closely spaced parallel lines of melanin, causing the wing to act as a reflection grating. Suppose sunlight shines straight onto a beetle wing.

If the melanin lines on the wing are spaced 2.0 μm apart, what is the first-order diffraction angle for green light (λ = 550 nm)?

Answer:

the first-order diffraction angle for green light is 15.96°

Explanation:

Given the data in the question;

from diffraction theory;

nλ = dsin∅

where n is the diffraction order ( 1st order = 1 )

λ is the wavelength ( 550 nm  = 550 × 10⁻⁹ m)

d is the grating spacing ( 2.0 μm = 2.0 × 10⁻⁶ m )

∅ is the diffraction angle ( ? )

so we substitute

nλ = dsin∅

sin∅ = nλ / d

sin∅ = (1 × 550 × 10⁻⁹ m) / 2.0 × 10⁻⁶ m

sin∅ = 0.275

∅ = sin⁻¹(0.275)

∅ = 15.96°

Therefore, the first-order diffraction angle for green light is 15.96°

Answer:

3,295.348Joules

Explanation:

Potential Energy = mass * acceleration due to gravity * height

Given the following

Mass = 73.1kg

Acceleration due to gravity = 9.8m/s²

Distance (Height) = 4.6m

Substitute into the formula;

Potential Energy = 73.1 * 9.8 * 4.6

Potential Energy = 3,295.348Joules

Hence Tim gain 3,295.348Joules of energy

Answer:

those are all correct. The arrows are matched correctly

Answer: 3 radians/meter.

Explanation:

The general sinusoidal function will be something like:

y = A*sin(k*x - ω*t) + C

Where:

A is the amplitude.

k is the wave number.

x is the spatial variable

ω is the angular frequency

t is the time variable.

C is the mid-value.

The rule that we can use to solve this problem, is that the argument of the sin( ) function must be in radians (or in degrees)

Then if x is in meters, the wave-number must be in radians/meters, so when these numbers multiply the "meters" part is canceled.

Then for the case of the function:

y(x,t) = 0.1 sin(3x + 10t)

Where x is in meters, the units of the wave number (the 3) must be in radians/meters. Then the angular wave number is 3 radians/meter.

Angular wave number is measured in rad/s. the angular wave number in the given equation is 10 rad/s.

Angular wave number:

It is the number of wavelengths per unit distance. It is also known as angular frequency.  It is measured in rad/s.

For given equation,

[tex]\bold{y(x,t) = 0.1 sin(3x + 10t)}[/tex]

Angular wave number  is the parameter which is multiplied by time (t). So, it is the number 10,  this will be measured in rad/s.  

Therefore, the angular wave number in the given equation is 10 rad/s.

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Answer:

The change in kinetic energy (KE) of the car is more in the second case.

Explanation:

Let the mass of the car = m

initial velocity of the first case, u = 22 km/h = 6.11 m/s

final velocity of the first case, v = 32 km/h = 8.89 m/s

change in kinetic energy (K.E) = ¹/₂m(v² - u²)

                                          ΔK.E = ¹/₂m(8.89² - 6.11²)

                                                    = 20.85m J

initial velocity of the second case, u = 32 km/h = 8.89 m/s

final velocity of the second case, v = 42 km/h = 11.67 m/s

change in kinetic energy (K.E) = ¹/₂m(v² - u²)

                                          ΔK.E = ¹/₂m(11.67² - 8.89²)

                                                    = 28.58m J

The change in kinetic energy (KE) of the car is more in the second case.

Answer:

10 m/s

Explanation:

Answer:

0 N/C

Explanation:

Using Gauss' law ∫εE.dA = Q. where E = electric field, dA = differential area and Q = charge enclosed.

Since for r < r₀ where r₀ = radius of the sphere, Q = 0. and ∫εE.dA = ∫εEdAcos180 (since the electric field is directed radially inward opposite to the normal area vector)

∫-εEdA = 0

-εE∫dA = 0

-εEA = 0

E = 0/-εA

E = 0 N/C

Answer:

Explanation:

Belle from beauty and the beast has what they call Stockholm syndrome.

Spongebob from Spongebob square pants has what is called Williams-Beuren syndrome

Ariel from the Little Mermaid has what they call Disposophobia.

Alice from Alice in the wonderland has what is called schizophrenia

Scar from the Lion King has what is known as anti social personality disorder.

Like the question suggested, many characters suffer different types of disorder, and I've just listed out a few

Answer:

2721

Explanation:

First, we find the change in calories

E = E(taken) - E(daily)

E = 3500 - 2500

E = 1000 cal

Next, we use the efficiency to find the available metabolic energy

E' = n.E, where n = efficiency

E' = 0.25 * 1000

E' = 250 cal

Converting this cal to J, we have

1 cal = 4.18 J

250 cal = 250 * 4.18 J

250 cal = 1045 kJ

Given that the final velocity is 0, we use equation of motion to find the height, h attained

u² = 2gh

h = u²/2g

h = 3.3² / 2 * 9.81

h = 10.89 / 19.62

h = 0.56 m

Potential energy, E = mgh

E = 70 * 9.8 * 0.56

E = 384 J

Total number of jumps, n =

n = 1045 / 384

n = 2721 jumps

Answer:orbital period of this GPS satellite, T= 48,874.4 s

Explanation:

Altitude (h)= 2.25 X 10^7 m

Radius of the Earth  ( r)=6.38 X 10^6 m

The distance from center of the Earth to the point is given as  

R = r +h

6.38 x 10^6 m+ 2.25 x 10^7 m

=28,880,000=2.888 x 10^7m

Also, Mass of the Earth  =5.97 x 10^24 kg  

and Gravitational Universal Constant

= 6.67 x 10^-11N.m2/kg2

Orbital period  T

=   2π

=2 X 3.142[tex]\sqrt{ (2.888 x 10^7m)^3 /6.67 x 10^-11N.m2/kg2 X 5.97 x 10^24 kg}[/tex]

2X 3.142 [tex]\sqrt{60,491088.9}[/tex]

= 2X 3.142 X 7,777.60

T= 48,874.4 s

Answer:

20 MHz

Explanation:

Since speed of radio waves = speed of light = c and for a wave, v = fλ where v = speed of wave, f = frequency and λ = wavelength.

Given that λ = 15 m and v = c = 3 × 10⁸ m/s

f = v/λ

substituting the values of the variables into the equation, we have

f = v/λ = 3 × 10⁸ m/s ÷ 15 m

= 0.2 × 10⁸ Hz

= 2 × 10⁷ Hz

= 20 × 10⁶ Hz

= 20 MHz