Jack is pushing a 30.0 kg cart at a constant acceleration of 2.1 m/s^2. He is combatting a force of 24N of gravity. If Jack let go of the cart when the velocity was 1.5 m/s, how far would the cart travel before stopping?

The two strings are taut. When the system is released from rest, it accelerates at 2 m/s2 then, Mass of A = 8m/5 kg.

Let the mass of the body A be ‘m’.

The two strings are taut so they exert a tension ‘T’ on body A.

Let ‘a’ be the acceleration produced in the system.

The free body diagram of body A is given below: mA + 2T = mA + ma = mA + m(2)mA + 10T = mA + ma = mA + m(2)

As the two strings are taut, we can say that tension in both strings is equal.

Therefore 2T = 10T or T = 5T As the body A is resting on a smooth horizontal table, there is no friction force acting on the body A.

The net force acting on body A is the force due to tension in the strings. ma = 2T – mg …(1)

As per the given problem, the system is released from rest.

Hence the initial velocity is zero.

Also, we are given that the system accelerates at 2 m/s2.

Therefore a = 2 m/s2 …(2)

From the equations (1) and (2), we get, m(2) = 2T – mg …(3)⇒ m(2) = 2×5m – mg⇒ 2m = 10m – g⇒ g = 8m/5

Thus, the mass of A is 8m/5 kg.

Answer: Mass of A = 8m/5 kg.

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Answer:

Rain

Explanation:

Answer:

Available energy = 35 x 10⁶ J

Explanation:

Given:

Amount of energy (Q) = 21 gj = 21 x 10⁹ J

Temperature T1 = 600 k

Temperature T0 = 27 + 273 = 300k

Find:

Available energy

Computation:

Available energy = Q[1/T0 - 1/T1]

Available energy = 21 x 10⁹ J[1/300 - 1/600]

Available energy = 35 x 10⁶ J

When a butane lighter is lit, chemical energy transforms into heat energy.

Energy cannot be created or destroyed, says the law of conservation of energy. However, it has the ability to change its form. The total energy of an isolated system is constant when all sources of energy are taken into account.

The chemical energy is the bonds of chemical molecules contain energy. Exothermic reactions are those in which chemical energy is released during the reaction, frequently in the form of heat.

In butane energy is stored as a chemical energy as  bonds of chemical molecules and when it is lit, the chemical energy of the butane transforms into heat energy.

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Answer:

a - 3, 5

b - 1

c - 2, 4

Explanation:

a). The distance between fringes on the screen

        \($y = \frac{m \lambda L}{d}$\)

where, λ is wavelength, m is order of pattern, L is distance between slit and screen, d is separation between slits.

Now we analyze that spacing between bright spots increases as increasing distance L from slits to wall and increasing the wavelength of the laser light, λ.

b). The spacing between the bright spots decreases as the distance between the two slits increases.

c). Has no effect on the spacing between the bright spots on the wall by increasing the distance from the laser to the slits as well as increasing the brightness of the laser.

Answer:

soil

Explanation:

without soil we can't plant we can't have water because water is from underground therefore soil is also useful

Answer:

Oxygen

Explanation:

Our body needs oxygen to obtain energy to fuel all our living processes

To convert one system of unit to another  of derived quantities is not a use of dimensional analysis.

Checking for consistency in the dimensions on both sides of an equation entails looking at the dimensions of the physical quantities involved in a problem, such as length, mass, time, electric charge, and temperature.

The core tenet of dimensional analysis is that physical quantities, such as length, mass, and time, may be described in terms of their basic dimensions.

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All of the options listed are included in the uses of dimensional analysis.

Dimensional analysis is a powerful tool used in physics to:

The dimensional analysis involves analyzing the dimensions of physical quantities and using them to establish relationships between them.

By using the principles of dimensional analysis, we can simplify complex physical problems and gain insights into the behavior of physical systems.

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Answer:

a) When moving body applies brake then velocity and acceleration would be in opposite direction

b) When body starts to increase velocity then velocity and acceleration would be in same direction

c) When body is circulating then velocity and acceleration would be perpendicular to each other

Explanation:

a) When body applies brake then its velocity starts decreasing, in this case its acceleration would try to stop the moving body. So direction of velocity would be same as direction of motion of body but direction of acceleration would be in opposite direction

b) When body starts to increase velocity, its acceleration would make the body to move faster. So direction of velocity would be the direction of motion of body and acceleration would also be in same direction

c) When body moves in circular path then its acceleration would be towards centre of circle and velocity would try to snap the body out of circle to straight line which in tangent to circle.

a. The free-body diagrams of the 8.0 kg box and the 2.0 kg mass is attached below.

bi) the acceleration of the system is 0.4 m/s^2

bii)  the tension in the string is 0.8 N.

Net force = ma

Net force = T - F_friction

where T is the tension force and F_friction is the frictional force.

Substituting the given values, we have:

T - F_friction = ma

T - 6.0 N = (8.0 kg + 2.0 kg) a (since the tension force acts on both masses)

T - 6.0 N = 10.0 kg a

(ii) To find the tension in the string, we can apply Newton's second law of motion to the 2.0 kg mass:

Net force = ma

where m is the mass of the mass and a is the acceleration of the system. The net force on the mass is the tension force:

Net force = T

Substituting the given values, we get:

T = ma

T = 2.0 kg x a

To solve for T, we need to find the acceleration of the system.

To find both a and T, we can use the equations we derived above and solve them simultaneously:

T - 6.0 N = 10.0 kg a (equation 1)

T = 2.0 kg x a (equation 2)

Substituting equation 2 into equation 1, we get:

2.0 kg x a - 6.0 N = 10.0 kg a

Solving for a, we get:

a = 0.4 m/s^2

Substituting a into equation 2, we get:

T = 2.0 kg x 0.4 m/s^2 = 0.8 N

Therefore, the acceleration of the system is 0.4 m/s^2 and the tension in the string is 0.8 N. of the system is 0.4 m/s^2 and the tension in the string is 0.8 N.

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Answer:

35.24°C.

Explanation:

To solve this problem, we can use the principle of conservation of energy. The heat lost by the water will be equal to the heat gained by the aluminum pan.

The equation for heat transfer is:

Q = m * c * ΔT

Where:

Q is the heat transferred

m is the mass of the substance

c is the specific heat capacity of the substance

ΔT is the change in temperature

Let's calculate the heat lost by the water:

Q_water = m_water * c_water * ΔT_water

We know the mass of the water is 752 mL, which is equivalent to 752 grams (since the density of water is 1 g/mL).

m_water = 752 g

c_water = 4.18 J/g°C (specific heat of water)

ΔT_water = final temperature - initial temperature = 39°C - initial temperature

Similarly, let's calculate the heat gained by the aluminum pan:

Q_aluminum = m_aluminum * c_aluminum * ΔT_aluminum

The mass of the aluminum pan is given as 1.00 kg.

m_aluminum = 1,000 g

c_aluminum = 0.9025 J/g°C (specific heat of aluminum)

ΔT_aluminum = final temperature - initial temperature = 39°C - 26°C

Since the heat lost by the water is equal to the heat gained by the aluminum pan, we can set up the equation:

Q_water = Q_aluminum

m_water * c_water * ΔT_water = m_aluminum * c_aluminum * ΔT_aluminum

Plugging in the values:

752 g * 4.18 J/g°C * (39°C - initial temperature) = 1,000 g * 0.9025 J/g°C * (39°C - 26°C)

Simplifying:

3135.776 g * (39°C - initial temperature) = 903.5 g * 13°C

122,287.664 g°C - 3135.776 g * initial temperature = 11,705.5 g°C

-3135.776 g * initial temperature = 11,705.5 g°C - 122,287.664 g°C

-3135.776 g * initial temperature = -110,582.164 g°C

Dividing by -3135.776 g:

initial temperature = (-110,582.164 g°C) / (-3135.776 g)

initial temperature ≈ 35.24°C

Therefore, the initial temperature of the water was approximately 35.24°C.

Hope this helps ^^

Answer: B

Explanation: B is the correct statement describing the positions of the Moon, the Sun, and the Earth during a new moon. The Moon is between Earth and the Sun.

During a new moon, the Moon is positioned between the Sun and the Earth, with the illuminated side of the Moon facing away from the Earth. This means that the side of the Moon that faces the Earth is not receiving any sunlight, making it invisible to us from Earth. The new moon is the first phase of the lunar cycle and occurs roughly every 29.5 days.

Answer:

California has one of the most variable climates of any U.S state, and often experiences very wet years followed by extremely dry ones . The state's reservoirs have insufficient capacity to balance the water supply between wet and dry years.

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wow this is rlly hard Idrk but good luck

sowwie :( i need points

Explanation:

There is decreased pressure on the air molecules as one moves higher and the air is thinner

We know that the air pressure decreases with height. This implies that the air is thinner as you move up to higher altitude. This is the idea behind the use of the phrase; "Thin air".

Now, owing to the fact that there is decreased pressure on the air molecules as one moves higher and the air is thinner, it is much harder to breath until her aunt adjusts to the higher altitude.

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Answer:

Net torque in positive direction:

Fz = -450 * cos 30 deg * 1.5 = -585 N-M

Fz = 200 * 3.5 = 700 N-M

Net F = 115 N-M

Torque is generally defined as L = R X F

X cross Y = Z     normal coordinate system

Note that Z will be out of the page giving the positive value for the torque.

Hello..!

To calculate its displacement, we first apply the data to the problem.

Data:

Now, we apply a conversion.

Conversion:

Then, we apply the formula that is.

Formula:

Finally we develop the problem.

Developing:

The displacement of the bike is 83100 meters.

Answer:

83,333.33 m (2 d.p.)

Explanation:

\(\boxed{\sf Speed=\dfrac{Distance}{Time}}\)

Given values:

As there are 60 minutes in one hour, convert minutes into hours by dividing by 60:

\(\implies \sf Time=\dfrac{50}{60}=\dfrac{5}{6}\;hour\)

Substitute the values into the formula and solve for distance:

\(\implies \sf 100=\dfrac{Distance}{\frac{5}{6}}\)

\(\implies \sf 100=Distance \times \dfrac{6}{5}\)

\(\implies \sf Distance=\dfrac{100 \times 5}{6}\)

\(\implies \sf Distance=\dfrac{250}{3}\;km\)

\(\implies \sf Distance=83.33333...\;km\)

At there are 1000 meters in one kilometer, convert kilometers into meters by multiplying by 1000:

\(\implies \sf Distance=83.33333...\times 1000=83333.33\;m\;(2\;d.p.)\)

(a)to find voltage of battery we use the wire containg 4 ohm resistor and 3 ohm resistor

the voltage of 4ohm = Ri=4x1.5=6V

the voltage of 3 ohm = Ri=3x1.5=4.5v

since voltage is additive in series then Voltage of batteries = 4.5+6=10.5V

(b) the currrent flowing in 20 ohm resistor is the same as 8 ohm resistor so

Voltage of 8 ohm + voltage of 20 ohm= 10.5

8i+20i=10.5

28i=10.5

i=0.375 A

Answer:

put your question in proper way' i hope you understand.

Explanation:

Answer:

E = 1/2 M V^2 = 1/2 P V     since P = M V

E2 / E1 = P2 V2 / (P1 V1)

P2 / P1 = E2 V1 / (E1 V2) = V2^2 V1 / (V1^2 V2) = V2 / V1

E2 / E1 = V2^2 / V1^2

V2 / V1 = (E2 / E1)^1/2

V2 / V1 = (.9)1/2 = .95

The linear momentum would have to decrease by 5%

Answer:

Kinetic energy is present in an object which is in motion.

Explanation:

Answer:

False

Explanation:

Answer:

a. 299,792,458 m/s

Explanation:

Since the speed of light in a vacuum is invariant and has the value of 299,792,458 m/s, we would measure this value of 299,792,458 m/s for the speed of light from the star as it arrives on Earth.

If the dog walked at a constant speed the whole way, the graph of the dog's position versus time would be a straight line. This is because the dog's velocity (which is the derivative of position with respect to time) would be constant, and the acceleration (which is the derivative of velocity with respect to time) would be zero.

A straight line on a position-time graph indicates that the object is moving at a constant velocity. The slope of the line would be equal to the velocity of the dog.

If the graph is a horizontal line, it would indicate that the dog is at rest. If the line slopes upward, the dog is moving in the positive direction (for example, to the right in a position-time graph), and if the line slopes downward, the dog is moving in the negative direction.

In all, A constant speed means a constant velocity and the line is a straight line with a particular slope.

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Atom A has 10 protons, 12 neutrons, and 10 electrons, while Atom B has 10 protons, 10 neutrons, and 12 electrons.

Atom A and Atom B are not isotopes of each other. Isotopes are atoms of the same element that differ in the number of neutrons but have the same number of protons. In this case, Atom A and Atom B have different numbers of protons, which means they are not isotopes of each other.

The number of protons determines the element, and since Atom A and Atom B have different numbers of protons, they belong to different elements.

Isotopes, on the other hand, have the same number of protons but differ in the number of neutrons.

This variation in the number of neutrons gives isotopes different atomic masses while retaining the same chemical properties.

However, Atom A and Atom B do not fulfill this criterion, so they cannot be considered isotopes of each other.

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A 7 kg mass moving across the table at an acceleration of 25 m\(/s^2\)requires a force of 175 N.

To determine the force required to cause the acceleration of a 7 kg mass moving across the table at 25\(m/s^2\), we can use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration.

Given:

Mass (m) = 7 kg

Acceleration (a) = 25 \(m/s^2\)

We can substitute these values into the equation:

Force (F) = mass (m) * acceleration (a)

F = 7 kg * 25 \(m/s^2\)

F = 175 kg·\(m/s^2\)

Therefore, the force required to cause the acceleration of the 7 kg mass is 175 kg·\(m/s^2\).

To understand the calculation, we need to know that force is a measure of how much an object accelerates when a certain amount of mass is acted upon by that force. In this case, the mass of the object is 7 kg, and it is experiencing an acceleration of 25\(m/s^2\).

By multiplying the mass and acceleration together, we find that the force required is 175 kg·\(m/s^2\). This unit, also known as a Newton (N), represents the force required to accelerate a 1 kg mass at a rate of 1 \(m/s^2\)

In summary, the force required to cause the acceleration of the 7 kg mass across the table at 25 \(m/s^2\) is determined to be 175 kg·\(m/s^2\). This calculation follows Newton's second law of motion and shows the relationship between mass, acceleration, and force.

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Answer:

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

\(a = \frac{f}{m} \\ \)

f is the force

m is the mass

From the question we have

\(a = \frac{7000}{1000} = 7 \\ \)

We have the final answer as

Hope this helps you

Explanation:

p=m x v

to find the mass:

m= p/v

=47/11

=4.27 kg

The statement that is true about the theory of plate tectonics and the theory of continental drift C. The theory of plate tectonics gives the method by which continents can move as part of plates .

According to the scientific hypothesis of plate tectonics, the underground movements of the Earth create the primary landforms. By explaining a wide range of phenomena, including as mountain-building events, volcanoes, and earthquakes, the theory, which became firmly established in the 1960s, revolutionized the earth sciences.

The scientist Alfred Wegener is most closely connected with the concept of continental drift. Wegener wrote a paper outlining his notion that the continents were "drifting" across the Earth, occasionally crashing through oceans and into one another, in the early 20th century.

According to tectonic theory, the Earth's surface is dynamic and can move up to 1-2 inches every year. The numerous tectonic plates constantly move and interact. The outer layer of the Earth is altered by this motion. The result is earthquakes, volcanoes, and mountains.

Therefore, option C is correct.

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