A block of mass m = 4.4 kg, moving on frictionless surface with a speed vi = 9.2 m/s, makes a sudden perfectly elastic collision with a second block of mass M, as shown in the figure. The second block is originally at rest. Just after the collision, the 4.4-kg block recoils with a speed of vf = 2.5 m/s. What is the mass M of the second block? 7.7 kg6.2 kg10 kg2.2 kg14 kg

The situation is demonstrating Newton's second law of motion because the force acting on the finger is greater for the meter rule than the meter stick.

Newton's laws of motion are laws which describe the relationship between the motion of bodies and objects and the forces that cause the motion.

There are three laws of motion propounded by Newton. The laws are:

Considering the given problem:

You balance a meter stick on one finger & the ruler on the other finger. You find that one of them is easier to balance than the other.

The meter ruler has greater mass than the meter stick.

Based on their masses, the force of gravity acting on meter ruler is greater than that on the meter stick, therefore, it is more difficult to balance the meter rule on a finger than the meter stick. This is according to Newton's second law of motion of unbalanced forces.

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Complete Question

The complete question is shown on the first uploaded image

Answer:

The velocity is   \(v =0.333 \  m/s \) in positive x -direction

The speed is \(s = 0.733 \ m/s\)

Explanation:

From the question we are told that

The distance from the house to truck is  D =  20 m

  The distance traveled back to retrieve  wind-blown hat is  d =  15

  The distance from the wind-blown hat position too the truck is  k =  20  m

  The total time taken is  t  =  75 s

Generally when calculating the displacement the Justin's backward movement to collect his wind - blown hat is taken as negative

Generally Justin's displacement is mathematically represented as

      \(L = 20 - 15 + 20\)

=>    \(L  =  25 \ m \)

Generally the average velocity is mathematically represented as

          \(v = \frac{L}{t}\)

=>      \(v = \frac{25}{75}\)

=>      \(v =0.333 \  m/s \)

Generally the distance covered by Justin is mathematically represented as  

         \(R = D+ d + k\)

=>      \(R = 20 + 15 +20\)

=>     \(R =  55 \  m \)

Generally Justin's average speed over a 75 s period is mathematically represented as

            \(s = \frac{R}{ t}\)

=>         \(s = \frac{55}{ 75}\)

=>        \(s = 0.733 \ m/s\)

a. the speed of the ultrasound in water is 1480 m/s

b. the wavelength of the ultrasound in water is 37 m

c. the depth of the fish below the boat is 89.76 m

a.

v = fλ

v = fλ = (4.0 x 10^2 Hz)(λ)

the speed of the ultrasound in water is given as :

v = v_water = 1480 m/s

substitute v_water into the equation above and solve for λ:

λ = v_water / f = (1480 m/s) / (4.0 x 10^2 Hz) = 37 m

Therefore,  the speed of the ultrasound in water is 1480 m/s and the wavelength is 37 m.

c. The depth of the fish below the boat ia found using,

d = v_water * t / 2

The first echo came back after 0.09 s:

d = (1480 m/s) * (0.09 s) / 2 = 64.32 m

This is the depth of the sea bed, which is already known to be 64 m. So the fish must be deeper than the sea bed, and the second echo must have come from the fish. The second echo came back after 0.12 s:

d = (1480 m/s) * (0.12 s) / 2 = 89.76 m

So the depth of the fish below the boat is 89.76 m

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Given:

m = 32.6 g

Vi = 2.8 ml

vf = 5.7 ml

Apply:

ρ= mass / volume

Replacing:

ρ = 32.6g / (5.7 - 2.8 ) mL = 11.24 g/mL

Answer: 11.24 g/mL

Answer:

Positive psychology is important because discovering what leads people to live more meaningful lives can translate to better strategies for managing mental illness, correcting negative behaviors, and increasing our happiness and productivity.

Explanation:

Answer:

v = -9.8 (m/s2) t j

Explanation:

The velocity of the falling ball as a function of time is v = -9.8 (m/s2) t j and its position as a function of time is r = (4.9 m - ½ 9.8 (m/s2) t2) j.

The momentum of the truck is "56250 kgm/s".

According to the question,

Mass,

Velocity,

As we know,

→ \(p = mv\)

By putting the values, we get

→    \(= 2250\times 25\)

→    \(= 56250 \ kgm/s\)

Thus the answer is right.

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Answer:

Hello! Your answer would be, O False

Explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Abby

Answer:

False is the correct answer.

Explanation:

plz mark me as brainliest.

The quantity of heat absorbed by 14 g of water that warms from 30 ∘C to 98 ∘C is approximately 4087.84 J.

Heat absorbed refers to the amount of thermal energy that is taken in by a substance or system during a process, such as heating up or melting.

The amount of heat absorbed by a substance is given by the equation:

Q = m * c * ΔT

Where:

For water, the specific heat capacity is approximately 4.18 J/g°C.

Using the given values, we can calculate the amount of heat absorbed by the water as follows:

m = 14 g

c = 4.18 J/g°C

ΔT = (98°C - 30°C) = 68°C

Q = 14 g * 4.18 J/g°C * 68°C = 4087.84 J

Therefore, the quantity of heat absorbed by 14 g of water that warms from 30 ∘C to 98 ∘C is approximately 4087.84 J.

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Digital manometers can be used to measure liquids, gases, and air, depending on the device. If the instruments have an internal memory, it works quite well.

Pressure Gauge in Psig Pressure as a percentage of the surrounding atmospheric pressure. The gauge pressure for this kind of pressure includes the pressure from the weight of the atmosphere because it is zero-referenced against atmospheric pressure.

These gauges typically have a measurement range of 0… 1 mbar to 0… 600 mbar and an accuracy class of 0.1 to 2.5. Although pressure gauges typically require very minimal upkeep, problems can happen.

Therefore, This tool can be used to measure pressure in a variety of locations. Measurements of negative pressure, overpressure, and differential pressure are all possible.

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Answer:

D

Explanation:

30 m/s is the hypothenuse. The horizontal component will be x. Using trig, you can see that

\(cos(angle) = \frac{x}{hypotenuse} \)

The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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Answer:

Earth pulls the sun towards itself with a force equal to the ratio of the mass of the sun to the mass of Earth

The Earth pulls the sun toward itself with an equal force. (Option D)

According to the 3rd Newton's Law, forces existing in the universe are shown in pairs, that is to say, for all action force, there is a corresponding reaction force of equal magnitude and opposite direction. By the Newton's Law of Gravitation we understand that gravitation between the Sun and the Earth is done because of a gravitational field created by mutual interaction, in terms of their masses and distance among them. The pair of forces is not based on direct contact.

Hence, we conclude that the Earth pulls the sun toward itself with an equal force.

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The magnitude of object's acceleration is 3.26m/s².

The mass of the body is 4.10 lg.

The two forces that are acting on the object are F₁ = -6i + 7.9j newton and F₂ = 6.8i + 5.3j Newton.

We know that the force acting on an object is,

F = Ma

Where,

F is the force acting,

M is the mass of the object and,

a is the acceleration of the object.

As we can see, two forces are acting on the body,

We can simplify the forces in x direction and y direction,

The forces are  F₁ = -6i + 7.9j N and F₂ = 6.8i + 5.3j N.

So, the total force in x-direction,

Fₓ = (-6+6.8)i

Fₓ = 0.8i

Fᵧ = (7.9+5.3)j

Fᵧ = 13.2j

So, the net force Fₙ on the object is Fₙ = (0.8i + 13.2j) N

Now, putting value of force and mass in the formula,

F = Ma

0.8i + 13.2j = 4.1a

a = 0.19i + 3.21j m/s².

The magnitude of acceleration is,

|a| = √[(0.19)²+(3.21)²]

|a| = 0.361 +10.3

|a| = 3.26m/s².

So, the magnitude of acceleration is 3.26m/s².

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The correct answer is A.

Explanation

In nature, we can find three basic states of material, one of these is gas, that is characterized by far apart particles that move quickly in all directions; the second is solid that is characterized by close particles located in a definite pattern, and these only vibrate without losing its form, and third is the liquid, that is characterized for close particles with an undefined pattern, and its movement is around each other. According to the above, the image that best expresses the arrangement of particles in a liquid is option A, because there are particles close together and move around each other.

Answer:the correct answer is A the foggy looking brain pic

Explanation:

I selected C the separated looking particles that answer was wrong

Answer:

If wire have high resistance it will heat up.

Wire will have a small magnetic field around it. if voltage is high corona will be formed around wire.

A moss leaf cell have Cell wall, Chloroplasts, Mitochondria and Nucleus in their structure.

A moss leaf has a single layer of cells. Each has a cell wall and is lined with a number of chloroplasts. Each and every cell has a nucleus. The nucleus is extremely small compared to the cell. The mitochondria in the the moss leaf cell is used to integrate sugar that is produced in the cell to produce energy.

After looking at the moss leaf cell structure and the given options, except cell membrane all the other parts are present in it. The cell membrane is also known as plasma membrane. It separates the interior of the cell from the outside environment.

Therefore, a moss leaf cell have Cell wall, Chloroplasts, Mitochondria and Nucleus in their structure.

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Answer:

Explanation:

Don't know what you're comparing to, but most likely the answer is the same amount of time. Mass does not affect trajectories.

According to research, development is always towards complexity.

The term research has to do with the process that we have to go through to obtain new knowledge or to confirm a piece of information. Let us say that we have some disconnected pieces of evidence that tend to point towards a particular fact, we would need to use the process of research to establish the truth in the research.

Now we can see that there is a movement towards the complexity of organisms at each particular level in the developmental process. We can then conclude that according to research, development is always towards complexity.

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Based on the calculations, the acceleration of this train is equal to B) 5 m/s².

Mathematically, the acceleration of this train can be calculated by using this formula:

a = (V - U)/t

Where:  

Substituting the given parameters into the formula, we have;

Acceleration, a = (45 - 5)/8

Acceleration, a = 40/8

Acceleration, a = 5 m/s²

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Complete Question:

Until a train is a safe distance from the station it must travel at 5 m/s. Once the train is on open track it can speed up to 45 m/s. If it takes a train 8 seconds to reach 45 m/s, what is the acceleration of the train? (Round your answer to the nearest whole number.)

A) 4 m/s²

B) 5 m/s²

C) 6 m/s²

D) 7 m/s²

Answer:

To solve this problem, we can use the equations of motion for projectile motion. We know that the horizontal component of velocity remains constant throughout the motion, while the vertical component changes due to gravity. Let's consider the horizontal and vertical components separately.

Horizontal Component:

The horizontal component of velocity (Vx) remains constant throughout the motion. Therefore, we can write:

Vx = b/t

where t is the time taken by the golf ball to hit the tree.

Vertical Component:

The vertical component of velocity (Vy) changes due to gravity. We can use the following equation to find Vy at any time t:

Vy = u*sin(0) - gt

where u is the initial velocity, 0 is the angle of projection, g is the acceleration due to gravity (-9.8 m/s^2), and t is the time taken by the golf ball to hit the tree.

At the maximum height (h) reached by the golf ball, Vy becomes zero. Therefore, we can write:

h = u^2*sin^2(0)/2g

Solving for u, we get:

u = sqrt(2gh)/sin(0)

Now, we need to find the time taken by the golf ball to hit the tree. We can use the following equation:

b = Vx*t

Solving for t, we get:

t = b/Vx

Substituting this value of t in the equation for Vy, we get:

h = u*sin(0)*t - gt^2/2

Substituting the values of u and t, we get:

h = b*tan(0) - (g*b^2)/(2*Vx^2)

Finally, substituting the value of Vx, we get:

h = b*tan(0) - (g*b^2)/(2*b^2/t^2)

Simplifying, we get:

h = b*tan(0) - (g*t^2)/2

Solving for u, we get:

u = sqrt(2*(h + g*t^2/2)/sin(0))

Therefore, the initial velocity in terms of b and h is given by:

u = sqrt(2*(h + g*(b/Vx)^2/2)/sin(0))

The power rating of the heater is 277.8 W and the current drawn from the supply is 0.07015mA.

The power is obtained from the ratio of work and time and the power is measured in watts(W). The current is defined as the flow of electrons in the circuit and it is measured in ampere(A).

From the given,

The energy of the electric heater = 0.5MJ = 0.5×10⁶ J

Voltage (V) = 220 V

time (t) = 30 minutes = 30×60 s = 1800 s.

To find power (P):

Power = Energy / Time

          = 0.5×10⁶ / 1800

          = 277.77 W

Power of the electric heater = 277.8 W

To find current from the given:

Power (P) = V×I×t

Current (I) = P/(V×t)

                = 277.8 / (220×1800)

               = 0.7015 mA

The current drawn from the supply is 0.7015 mA.

Hence, the power rating of the heater is 277.8 W and the current drawn from the supply is 0.7015 mA.

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Answer: Distance traveled in time t is s

Explanation: Self Explanatory

The 10/90 principle can be a powerful tool for taking control of your situation and improving your life. By taking responsibility for what you can change and focusing on your reaction to the situation, you can make positive changes in your life and become the master of your own destiny.

The 10/90 principle refers to the idea that life is made up of 10% of what happens to you and 90% of how you respond to it. In other words, you may not be able to control what happens to you, but you can control your reaction to it. By taking responsibility for what you can change rather than being a victim of what you cannot change, you can take control of your situation and improve your life.One example of a situation where the 10/90 principle could be applied is losing a job. Losing a job can be a devastating experience, and it can be easy to feel like a victim in this situation. However, by applying the 10/90 principle, you can take control of your situation and make positive changes in your life.The first step in applying the 10/90 principle in this situation would be to take responsibility for what you can change. This could mean updating your resume, networking with others in your field, and applying for new jobs. By taking action and doing what you can to find a new job, you are taking control of your situation and improving your chances of finding a new job.
The second step would be to focus on your reaction to the situation. Instead of dwelling on the negative aspects of losing your job, try to focus on the positive aspects. This could mean using the extra time to pursue a new hobby or spend more time with family and friends. By focusing on the positive aspects of the situation, you are taking control of your reaction and improving your overall well-being.
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A 0.842g sample of Hydrogen-3 decays to 0.0526g. Approximately 4.206 half-lives have occurred.

To determine the number of half-lives that have occurred, we can use the decay equation and the concept of exponential decay. The decay equation for radioactive decay is given by:

N(t) = N₀ * (1/2)^(t/T),\((1/2)^(^t^/^T^),\)

where N(t) is the remaining amount of the substance at time t, N₀ is the initial amount, t is the time elapsed, and T is the half-life of the substance.

In this case, we have an initial mass of 0.842g (N₀) and a remaining mass of 0.0526g (N(t)). We can set up the equation as follows:

0.0526g = 0.842g \(* (1/2)^(^t^/^1^2^.^3^2)\),

where t represents the number of half-lives that have occurred.

To solve for t, we can take the logarithm of both sides of the equation:

log(0.0526g/0.842g) = log\([(1/2)^(^t^/^1^2^.^3^2^)\)].

Using the logarithmic property log(\(a^b\)) = b*log(a), we can rewrite the equation as:

log(0.0526g/0.842g) = (t/12.32) * log(1/2).

Simplifying further:

log(0.0526g/0.842g) = (t/12.32) * (-log2),

where log2 is the logarithm base 2.

Now, we can solve for t:

t = (12.32 * log(0.0526g/0.842g)) / (-log2).

Using the given values and performing the calculation, we find:

t ≈ 4.206.

Therefore, approximately 4.206 half-lives have occurred.

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Answer:

It is because the entropy of a system depends only on its state, just like its internal energy. Or, putting it the other way round, a given state of a system has a particular entropy.

The formula dS = dQ/T only applies to a reversible change, and such a change has only one path, or a few equivalent paths.

The  speed of the car after 20 seconds are  20 m/s.

The speed of an object is a measure of how quickly the object is moving in a particular direction. It is typically measured in units such as meters per second (m/s). Speed is a scalar quantity, which means it is only concerned with the magnitude of the velocity (or speed) and not the direction

The graph shows that the speed of the car was 20 m/s after 20 seconds.

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According to the question the speed of the cart is given by 5.86 m/s

Speed is a measure of how quickly an object moves or how quickly a process happens. Speed is usually measured in units of distance per unit of time, such as miles per hour (mph) or meters per second (m/s). Speed is a scalar quantity, meaning it has magnitude but no direction. In comparison, velocity is a vector quantity, meaning it has both magnitude and direction. Speed is often confused with velocity, but they are distinct concepts.

The speed of the cart can be found using the equation:
v = √(2xkxΔx / m)
Where:
v = speed
k = spring constant
Δx = displacement of the spring (0.2 meters)
m = mass of the cart (7 kg)
Therefore, the speed of the cart is given by:
v = √(2x112x0.2 / 7)
v = 5.86 m/s

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Answer:

Explanation:

Suppose you have a box filled with all sorts of molecules that won't react with each other.

Suppose further that these molecules move. What formula are they obeying? the answer is Ke = 1/2 m  v^2.

Now the mass is not going to change, but what about v, the velocity. It certainly can change.

Suppose further, that the molecules are in a closed container. Suppose that the box is heated up. What will happen? The molecules can't escape. All they can do is move faster (remember that they are trapped inside the box). Their mass won't change.

So if you put a thermometer inside a cork into a whole where the cork will seal the hole, what will the thermometer record. Those fast moving molecules will hit the thermometer and make the molecules of the thermometer move faster. The liquid inside the thermometer will measure the Ke of the molecules. So temperature is related to Ke.

The more heat, the faster the molecules are moving. The more they move, the more Ke is being transferred to the thermometer. The more heat transferred to the thermometer, the more the liqiuid in the thermometer will expand, and the higher the temperature.

So shortly temperature is the measurement of Ke inside the closed container that is filled with gas molecules.

Based on the information provided, it is likely that the figure shows an alternating current (AC). The arrows under the electrons pointing right and left, both towards and away from the light bulb, indicate that the direction of the electron flow is changing periodically. This is a characteristic of alternating current, where the flow of electric charge reverses direction periodically, typically in a sinusoidal manner.

In an AC circuit, the voltage also changes direction periodically, which is consistent with the changing direction of the electron flow shown in the figure.

In an alternating current, the flow of electrons periodically reverses direction, causing the current to switch between positive and negative values. This is different from direct current (DC), where electrons flow in a single, constant direction.

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