Show that v1.f = V1,i and V2/ = V2.i satisfy the conservation equations and explain why it is not a solution to an elastic collision problem. [4] Answer: For elastic collisions, if the masses and initial velocities are known, the two objects' final veloc- ities can be determined by solving Eqs. (5) and (6). One gets (mi - m2)vii +2m2v,2 m1 + m2 m1 + m2 For inelastic collisions, energy conservation (or Eq. (6)) does not apply. In general, momentum conservation (or Eq. (5)) itself cannot determine the two final velocities without more details being given. However, there is a special case called a completely inelastic collision, in which the two objects stick together and move as one object after the collision. The two objects thus have the same final velocity, vi.f - V2.f . Combining this relation and Eq. (5), one obtains m+m2t4 mi + m2 The power of these conservation equations comes from the fact that one need not know (and often could not know) the precise details of some complicated process like a collision. However, one can still analyze the behavior of a system, since there are quantities that remain the same regardless of the details.

Answer:

The volume of a gas is dependent on pressure and temperature.

Explanation:

Pressure and temperature affect different gases differently giving varied conclusions to the exact volume of that gas.

:-befrank

First we make a representation of the situation by building a free body diagram as attached in the figure.

We write the sum of forces on the axis of motion as:

\(P_x -fr = ma\\a = \dfrac{P_x-fr}{m}\\a = \dfrac{mg\sin \theta -fr}{m}\\\\a = \dfrac{(12\;kg)(9.8\;m/s^2)\sin 40^\circ -60N}{12\;kg}\\\\a\approx1.3 \;m/s^2\)

b) We know from cinematic that:

d = at²/2

Solving for t:

\(t = \sqrt{\dfrac{2d}{a}} =\sqrt{\dfrac{2(5\;m)}{1.3\;m/s^2}} = 2.8\;s\)

c) We write the sum of forces on the y axis as:

N - Py = 0

N = Py

N = mgcosθ

fr = μN

Solving for μ:

μ = fr/N

\(\mu = \dfrac{fr}{mg\cos\theta} = \dfrac{60\;N}{(12\;kg)(9.8\;m/s^2)\cos40^\circ} =0.67\)

1. The acceleration of the box is 1.3 m/s^2.

2. The time taken for reaching the bottom of the incline is 2.8 seconds.

3. The coefficient of friction is 0.67.

1.

We know that

Px - fr = ma

a = (px - fr)/m

a = (mg sin - fr)/m

= (12) (9.8) sin 0 - 60 N / 12 kg

= 1.3 m/s^2

2. The time taken should be

= √2d/a

= √295) / 1.3

= 2.8 seconds

c. The coefficient of friction should be

N - Py = 0

N = Py

μ = fr/mgcos

= 60N /  (12kg) (9.8) (cos 40)

= 0.67

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E1=E4>E5>E2=E3 is the correct order of magnitudes induced in the loop. Region I has a magnetic field that is neither uniform nor steady and points out of the page. Disregard any communication between loops.

In terms of physics, magnitude is just "distance or quantity." In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope .In physics, the term "magnitude" often refers to a size or amount.

The definition of magnitude is "how much of a quantity." The magnitude, for instance, can be utilized to explain the contrast between the speeds of a car and a bicycle.

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Answer

C. 0 N

F=ma=0.5(0)=0 N

Answer:

c

Explanation:

hope it helps

If light from an infinite distance away hits a convex lens, the image will form at the focal point of the lens. So, the answer is B.

This is because when the object is at an infinite distance, the incoming light rays are parallel to each other. When these parallel rays pass through the convex lens, they converge to a point, which is the focal point of the lens.

Since the light rays converge at the focal point after passing through the lens, the image of the object will be formed at the focal point as well. Therefore, the correct option is B: at the focal point of the lens.

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Answer:

When ionic compounds dissolve in water, they break apart into the ions that make them up through a process called dissociation. When placed in water, the ions are attracted to the water molecules, each of which carries a polar charge. ... The ionic solution turns into an electrolyte, meaning it can conduct electricity.

The bonds that is present between atoms of ionic compounds break apart when it is dissolved in water.

When ionic compounds dissolve in water, the ions in the solid separate in the solution because water molecules has polar nature which attracts that ions. The hydrogen of water molecule attracts chlorine of ionic compound whereas hydroxle ion attracts sodium of ionic compound.

So we can conclude that the bonds that is present between atoms of ionic compounds break apart when it is dissolved in water.

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The potential energy  and kinetic energy of the bowling ball are 2,205 J and 37.5 J respectively.

The bowling ball at the given position and speed possess gravitational potential energy and kinetic energy.

The potential energy  and kinetic energy of the bowling ball is calculated as follows;

P.E = mgh

where;

P.E =  (3 x 9.8 x 75 )

P.E = 2,205 J

The kinetic energy of the bowling ball is calculated as;

K.E = ¹/₂ mv²

where;

K.E = ¹/₂ ( 3 ) x (5²)

K.E = 37.5 J

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Explanation:

As they are in same direction, you can add them directly. And result is 12 + 8 m = 20 m North. If you use vector addition: Vectors = 12m & 8 m & angle b/w them is 0°(as both are in same direction).

The car will travel a distance of 180 meters in 12 seconds.

To determine the distance traveled by the car, we can use the equation of motion:

Distance (d) = Initial velocity (v₀) × time (t) + 0.5 × acceleration (a) × time squared (t²)

Given:

Initial velocity (v₀) = 0 m/s (starting from rest)

Acceleration (a) = 2.5 m/s²

Time (t) = 12 seconds

Plugging in the values into the equation:

Distance (d) = 0 × 12 + 0.5 × 2.5 × 12²

Distance (d) = 0 + 0.5 × 2.5 × 144

Distance (d) = 0 + 0.5 × 2.5 × 144

Distance (d) = 180 meters

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Answer:

When sunlight strikes a solar panel what form of energy is transformed to?

Solar radiation may be converted directly into electricity by solar cells (photovoltaic cells). In such cells, a small electric voltage is generated when light strikes the junction between a metal and a semiconductor (such as silicon) or the junction between two different semiconductors.

Explanation:

Answer:

4500 joules

Explanation:

since work(joules) = force(newtons) x distance(meters),

150N x 30M = 4500 Joules

Answer:

4500 joules

Explanation:

150 N x 30 M = 4500 joules

Explanation: Research highlights the individuals with ASDS are nutritionally vulnerable because they exhibit a selective or pick eating pattern and sensory sensitivity that predisposes them to restricted intakes.

I hope this helps!

The necessary factors to turn collective action into a social movement include:

A common social or political purpose: A social movement typically arises when a group of individuals come together with a shared goal or cause. They identify a social or political issue that they believe needs to be addressed or changed.

Violation of social norms: Social movements often emerge in response to perceived injustices or violations of existing social norms. These violations can be related to issues such as inequality, discrimination, or injustice. The recognition of such violations can mobilize individuals to take collective action.

Institutionalized organization: To sustain and effectively mobilize a social movement, it often requires an institutionalized organization. This can be in the form of formal structures, such as organizations, groups, or networks, that provide the necessary coordination, leadership, and resources for the movement's activities.

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The magnification of the mirror after calculations is 0.99.

We can use the mirror formula and magnification formula to solve this problem:

1/f =\(1/d_o + 1/d_i\)

magnification = -\(d_i/d_o\)

where f is the focal length of the mirror, \(d_o\) is the distance of the object from the mirror, and \(d_i\) is the distance of the image from the mirror.

(a) To find the position of the object, we can rearrange the mirror formula:

\(1/d_o = 1/f - 1/d_i\)

Substituting the given values, we get:

\(1/d_o\) = 1/(-41.5 cm/2) - 1/20.5 cm

Simplifying, we get:

\(1/d_o\) = -0.0482 cm^-1

Therefore:

\(d_o\) = -20.7 cm

Note that the negative sign indicates that the object is located in front of the mirror.

Therefore, the object is located 20.7 cm in front of the mirror.

(b) To find the magnification, we can use the magnification formula:

magnification = -\(d_i/d_o\)

Substituting the calculated values, we get:

magnification = -20.5 cm / (-20.7 cm)

Simplifying, we get:

magnification = 0.99

Therefore, the magnification of the mirror is 0.99.

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Answer:

there is no list of "the following" you might want to re-upload your question.

The final speed of the two railroad cars is 1.62 m/s.

This problem can be solved using the conservation of momentum principle, which states that the total momentum of a closed system remains constant if no external forces act on it.

The initial momentum of the system is:

p_initial = m₁v₁ + m₂v₂, where

m₁ = 7,500 kg (mass of the first car)

v₁ = 4 m/s (velocity of the first car)

m₂ = 11,000 kg (mass of the second car, at rest)

v₂ = 0 m/s (velocity of the second car)

p_initial = (7,500 kg)(4 m/s) + (11,000 kg)(0 m/s)

= 30,000 kg×m/s

After the collision, the two cars lock together, so they become a single object with a total mass of:

M = m₁ + m₂ = 7,500 kg + 11,000 kg = 18,500 kg

Let's assume that the final velocity of the combined cars is v. According to the conservation of momentum principle:

p_final = M×v

Since no external forces act on the system, the initial momentum and the final momentum are equal:

p_initial = p_final

30,000 kgm/s = 18,500 kgv

v = 30,000 kg×m/s / 18,500 kg

= 1.62 m/s

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So, the wave's velocity is 150 m/s.

Hi ! I will help you to explain the relationship between velocity of a waves with their frequency and wavelengths. In mechanical waves (either transverse or longitudinal) the greater value of wavelength or frequency of a waves, indicating that the wave will transmitted faster. This relationship can also be expressed in this equation:

\( \boxed{\sf{\bold{v = \lambda \times f}}} \)

With the following condition :

We know that :

What was asked :

Step by step :

\( \sf{v = \lambda \times f} \)

\( \sf{v = 15 \times 10} \)

\( \boxed{\sf{v = 150 \: m/s}} \)

So, the wave's velocity is 150 m/s.

Answer:

m₀ = 96 g

Explanation:

First, we will calculate the no. of half-lives passed:

\(n = \frac{T}{T_{1/2}}\)

where,

n = no. of half-lives passed = ?

T = Total time elapsed = 32 h

\(T_{1/2}\) = Half-Life = 8 h

Therefore,

\(n = \frac{32\ h}{8\ h}\\\\n = 4\)

Now, for the initial amount of element:

\(m = \frac{m_o}{2^n}\\\\m_o = m(2^n)\)

where,

m₀ = initial amount of element = ?

m = current amount of element = 6 g

Therefore,

\(m_o = (6\ g)(2^4)\)

m₀ = (6 g)(16)

m₀ = 96 g

Blocks x and y exerts action-reaction forces on each other with 146.1 N and 53.1 N respectively.

The given parameters:

mass of block x = 10 kg

mass of block y = 5 kg

magnitude of the frictional force of block x = 8 N

magnitude of the frictional force of block y = 4 N

the applied force to the right = 40 N

To find:

The block y pulls block x to the left with the following reaction forces;

Force of block y = force due to its own weight + frictional force

where;

g is the acceleration due to gravity = 9.81 m/s²

Thus, block y reacts on block x with a force of 53.1 N

The block x acts on block y towards the right direction with following forces;

Force of block x on y =  force due to its own weight + frictional force + applied force to the right

Thus, block x acts on block y with a force of 146.1 N

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Light rays first pass through the transparent layer called the cornea and then refracted again as they pass through the transparent lens.

How do light rays flow in the eyes?

The first factor in the journey of light via the eye is the objects being seen and how they produce, reflect, or change the light in various ways.

The visual cortex of the brain's occipital lobe serves as the destination of the light pathway, which starts with photoreceptors in the retina. Rod and cone cells are two different types of photoreceptors. When it comes to eyesight in low light and in peripheral vision, rods can be especially helpful.

The cornea is where most of the refraction occurs as light enters the eye's curved, transparent front surface. The natural or crystalline lens of the eye also distorts light rays. When an item passes in front of the eye, its rays pass through the transparent cornea and enter the eye.

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Answer:

most potential is someone in an airplane. second is position A, third is position c, fourth is position D, fifth is position B and least potential is a person standing on the ground.

Explanation:

hopefully you understand what I wrote

A force is changing the motion of the bus.

Newton's first law of motion states that an object at rest or uniform motion in a straight line will continue in that form unless acted upon by an external force.

The applied force on the bus in the form of brakes acts as the external force on the bus.

According to Newton's first law of motion, the external force (brakes) will change the motion of the bus.

Thus, we can conclude that a force is changing the motion of the bus.

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Answer:

0.05

Explanation:

You should list the choices.

Efficiency = energy used / energy need * 100%

Efficiency = 5%

energy used = ?

energy needed = 1

Formula

Efficiency = energy used/energy needed * 100

100 * efficiency * energy needed = energy used.

Solution

1.00 * 5% = 1.00 * 5/100 = 1.00 * 0.05 = 0.05

Your answer should be something resembling 0.05 Joules

According to the given statement is 43.7 N average force acts on the ball.

The average force is a force applied by an object travelling more than a specific period of time at a given rate of speed, or velocity. This velocity is not instantaneous or accurately measured, as the word "average" implies.

Mass of tennis ball is =57 gm

velocity of ball=21 m/s

At a speed of 25 m/s, the player volleys the ball back (i.e. in opposite of initial direction)

Time of contact=0.06 s

We know change in momentum(ΔP)  = Impulse (Fdt)

Initial momentum = 57 * 10⁻³ * 21

Final momentum = -57 * 10⁻³ * 25

Change in momentum

ΔP = 57 * 10⁻³ * 21 - (-57 * 10-3 * 25)

ΔP =  57 * 10⁻³ * 46 = 2.622 kg-m/s

Now 2.622 kg-m/s = F\(_a_v_g\) * 0.06

F\(_a_v_g\) = 43.7 N

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The fundamental frequency in the input voltage refers to the lowest frequency component present in the voltage waveform. It is usually associated with the power line frequency, such as 50 or 60 Hz in most countries.

The switching frequency, on the other hand, is the frequency at which a power electronic device, like an inverter or a switch-mode power supply, switches on and off. It is typically much higher than the fundamental frequency, often in the range of several kilohertz to megahertz.
The relationship between the fundamental frequency and the switching frequency depends on the specific application and the design of the power electronic system. In some cases, the switching frequency can be a harmonic or multiple of the fundamental frequency. For example, in a pulse-width modulation (PWM) scheme, the switching frequency may be a multiple of the fundamental frequency.
In other cases, the switching frequency may be unrelated to the fundamental frequency. For instance, in certain high-frequency applications, the switching frequency may be much higher than the fundamental frequency, enabling more efficient power conversion and reduced size of passive components.
Overall, the fundamental frequency and the switching frequency are separate entities that can have different values and purposes in a power electronic system.

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The magnetic field at the center of the circular loop is approximately 8π x \(10^_-6\) Tesla. The direction of the magnetic field is perpendicular to the plane of the loop, pointing out of the page or screen.

To find the magnetic field at the center of the circular loop, we can use Ampere's law. Ampere's law states that the magnetic field around a closed loop is proportional to the current passing through the loop.

The equation for the magnetic field at the center of a circular loop is given by:

B = (μ₀ * I) / (2 * R)

where B is the magnetic field, μ₀ is the permeability of free space (4π x\(10^_-7\) Tm/A), I is the current passing through the loop, and R is the radius of the loop.

In this case, the current passing through the loop is 2 A, and the radius of the loop is 0.05 m.

Substituting the values into the equation, we have:

B = (4π x \(10^_-7\)Tm/A) * (2 A) / (2 * 0.05 m)

B = (4\pi  * \(10^{-7}\)Tm/A) * (2 A) / (2 * 0.05 m)

Simplifying the equation, we get:

B = (4π x \(10^_-7\) Tm/A) * 40 A/m

B = 8π x \(10^_-6\) T

Therefore, the magnetic field at the center of the circular loop is approximately 8π x \(10^_-6\) Tesla.

Now, let's move on to the direction of the magnetic field at the center of the loop. Using the right-hand rule, we can determine that the magnetic field will be pointing perpendicular to the plane of the loop.

In other words, it will be pointing out of the page or screen if you imagine the loop in a two-dimensional representation.

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Answer:     Developmental psychologists study human growth and development over the lifespan, including physical, cognitive, social, intellectual, perceptual, personality and emotional growth.

Explanation:

Answer: Newton's third law of motion is naturally applied to collisions between two objects. In a collision between two objects, both objects experience forces that are equal in magnitude and opposite in direction.

Explanation: So it is #2

The change in the kinetic energy is (22000 + 416500sinθ) J

The net force on the car F' = F - f - N where

So, F' = F - f - N

F' = F - f - mgsinθ

Since the car moves at constant velocity, the net force F' = 0

So, F' = F - f - mgsinθ

F - f - mgsinθ = 0

F = f + mgsinθ

From the work-kinetic energy theorem,

The kinetic energy change of the car ΔK equals the work done by force on car, W

ΔK = W = Fd where

ΔK = Fd

= (f + mgsinθ)d

=  fd + mgdsinθ

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

ΔK = fd + mgdsinθ

= 440 N × 25 m + 1700 kg × 9.8 m/s² × 25 m × sinθ

= 22000 Nm + 416500sinθ Nm

= (22000 + 416500sinθ) J

So, the change in the kinetic energy is (22000 + 416500sinθ) J

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