a stone is dropped from 45 m height of tower. it takes 3 second to reach ground. calculate acceleration due to gravity

The wolf's kinetic energy is 2,500 joules, calculated using the formula KE = 0.5 × mass × velocity².

The kinetic energy of an object is the energy it possesses due to its motion.

It can be calculated using the formula KE = 0.5 × mass × velocity², where KE represents kinetic energy, mass is the object's mass in kilograms, and velocity is its speed in meters per second.

In this case, the mass of the wolf is 50 kg, and its velocity is 10 m/s.

Plugging these values into the formula, we get KE = 0.5 × 50 × (10)², which simplifies to KE = 0.5 × 50 × 100.

Therefore, the wolf's kinetic energy is 2,500 joules.

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Answer:

m = 1.64 kg

Explanation:

Given that,

The work done to lift a body, W = 1,033 J

Height, h = 64 m

We need to find its mass. The work done in lifting the mass is given by :

\(W=mgh\\\\m=\dfrac{W}{gh}\\\\m=\dfrac{1033 }{9.8\times 64}\\\\m=1.64\ kg\)

Hence, the mass of the body is 1.64 kg.

When two objects collide and stick together, their combined speed after the collision can be calculated using the conservation of momentum principle. The principle states that the total momentum of an isolated system remains constant if no external forces act on it.

In this case, the initial momentum of the two players before the collision can be calculated as follows:

75 kg * 6 m/s + 100 kg * (-8 m/s) = 450 kg m/s

After the collision, the players stick together, and their combined speed can be calculated as follows:

Final momentum = (75 kg + 100 kg) * v

450 kg m/s = 175 kg * v

v = 450 kg m/s / 175 kg = 2.57 m/s

So, the combined speed of the two players just after the collision would be 2.57 m/s.

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Answer:

5.26 m/s

Explanation:

Given that,

The frequency of mosquito's wings, f = 1050 Hz

The observed frequency = 1034 Hz

We need to find the velocity of the mosquito travelling with respect to you. We have a formula to find it such that,

\(v=\dfrac{v}{\dfrac{f'}{f}}-v\)

Where

v is the speed of sound

So,

\(v=\dfrac{340}{\dfrac{1034}{1050}}-340\\\\v=5.26\ m/s\)

So, the required velocity is equal to 5.26 m/s/

Answer:

Escape velocity is defined as the velocity which will take a body to go the infinite distance away above the surface of the earth when projected upwards.

Hope this helps...

Good luck on your assignment....

Electric current is the flow of electric charge through a conductor. This flow of charge can occur in different ways, resulting in different types of current. In direct current (DC), the electrons move at an even rate and flow only in one direction. In other words, the flow of charge is unidirectional, from the negative terminal to the positive terminal of a source of electricity, such as a battery or a generator.

In a DC circuit, the direction of the current remains the same over time, unlike in alternating current (AC) circuits, where the direction of the current changes periodically. DC is commonly used in electronic devices and equipment that require a constant and reliable flow of electrical energy. For example, batteries, electronic circuits, and some motors use DC.

DC is also used in certain applications where the flow of current needs to be controlled in one direction only. For example, in electroplating, where a metal is deposited onto a surface by an electric current, DC is used to ensure that the metal ions move in one direction only and are deposited uniformly on the surface.

In summary, DC is a type of electric current in which the flow of electrons is unidirectional, moving from the negative to the positive terminal of a source of electricity. It is commonly used in electronic devices and equipment that require a constant and reliable flow of electrical energy.

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Answer:

466J

Explanation:

Given parameters:

Mass of steel  = 1kg  = 1000g

Initial temperature  = 21°C

Final temperature  = 22°C

Unknown:

Amount of heat required for this temperature increase  = ?

Solution:

To solve this problem, we use the expression below:

  So;

Heat absorbed  = mass x specific heat of steel x change in temperature

Specific heat of steel  = 0.466J/g°C  

Therefore;

 Heat absorbed  = 1000 x 0.466 x (22  - 21)  = 466J

For myself and my loved ones, I would wish for good health, happiness, and success so that even if my wish did not come true, I would still have the things that matter most in life.

To interact with individuals from all over the world and fully appreciate all cultures, I would first wish for the capacity to comprehend and speak all languages with ease. This would significantly improve my capacity for international travel and communication. My second desire is for unrestricted riches and resources so that I might support charity causes, assist people in need, and have a constructive effect on society. To enjoy my money and resources and carry on having a beneficial influence on the world, a long and healthy life is my third and last wish.

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Answer:

Explanation:

Experts in this field report that the modulation is FM or frequency modulation. There are exceptions, but they were not listed.

The usual frequencies allocated to these toys is 27 MHz and 72 Mhz.

There is not much chance of interference because the range is small even with a good transmitter.

Answer:

pulse

Explanation:

Show us the experiment then

10% of more girls are likely to work than boys.

option A.

The percentage of girls who are more likely to work than boys are calculated as follows;

Total number of boys = 18 + 12 = 30

Number of boys who works = 18

Percentage = 18/30 x 100% = 60%

Total number of girls = 14 + 6 = 20

Number of girls who works = 14

Percentage = 14/20 x 100% = 70%

Difference = 70% - 60% = 10%

So 10% of more girls are likely to work than boys.

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The critical speed below which the rope would become slack when the bucket reaches the highest point in the circle is determined by the length of the rope and the radius of the circle.

When the bucket is at the highest point in the circle, it is momentarily at rest and the tension in the rope must be zero.

The formula for calculating the critical speed at which the rope becomes slack is:

v = √(gr)

where v is the critical speed, g is the acceleration due to gravity, and r is the radius of the circle.

For example, if the radius of the circle is 2 meters and the acceleration due to gravity is 9.8 m/s², the critical speed would be:

v = √(9.8 × 2) = 4.4 m/s

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Answer:

Curves around objects

Explanation:

Diffraction is a property of light described by bending of light around an object. This ability of light to bend around edges has facilitated optical effects of light where there is interference of light waves. Other properties of light are: reflection, refraction, polarization, scattering of light, and interference of light.

d =200 m

Hi there !

Velocity formula

v = d/t => d = v×t

d = distance

t = time

d = 20m/s×10s = 200 m

Good luck !

Explanation:

It is given that,

Let Charge of \(1\ \mu C\) is taken from points A & B such that \(V_A-V_B=1000\ V\).

We need to find the energy of charge. Electric potential is defined as the work done per unit of electric charge. So,

\(W=(V_B-V_A)q\\\\W=-1000\times 10^{-6}\\\\W=E=-10^{-3}\ J\)

So, the energy of charge decreases by \(10^{-3}\ J\). Hence, the correct option  is (a).

The total enthalpy change in the first stage and both stages = 2612.5 kJ/kg

Mass of milk cooled per hour = 4450 kg/h Initial temperature of milk = 60°C Final temperature of milk = 4.45°C. The heat removed by the refrigerant is given by; Q = mCpΔT, Where m is the mass of milk, Cp is the specific heat of milk, and ΔT is the change in temperature. Therefore, ΔT = (60 - 4.45)°C = 55.55°CCp of milk = 3.93 kJ/kg°CQ = (4450 kg/h) (3.93 kJ/kg°C) (55.55°C) = 1.036 MW = 1036 kW

The amount of heat removed is 1036 kW2. Heat added = 121 300 kJ Mass of tomato ketchup = 454 kg Initial temperature = 10°C Heat capacity of tomato ketchup = 4020 J/kg.K

The heat required to raise the temperature of the tomato ketchup from 10°C to a temperature of T is given by; Q = mcΔT, Where m is the mass of tomato ketchup, c is the specific heat capacity of tomato ketchup, and ΔT is the change in temperature.

Therefore, Q = (454 kg) (4020 J/kg.K) (T - 10°C) = 1.83(T - 10) × 10^6 J

Heat added = heat required to raise the temperature of the tomato ketchup + heat required to increase the temperature of the tomato ketchup from T to the final temperature

Therefore, 121 300 kJ = 1.83(T - 10) × 10^6 J + (454 kg) (4020 J/kg.K) (T - 10°C)121 300 kJ = (4020T + 4.56T - 40 - 4020(10)) kJ121 300 kJ = 4024T - 40 040kJ126 340 kJ = 4024T T = 31.4°C

Temperature of the tomato ketchup at the outlet = 31.4°C3.

Mass of water = 1000 kg/h Initial temperature of water = 25°C Final temperature of water = 110°C Pressure of water = 232.1 kPa. The total enthalpy change of the water is given by; H = (mCpΔT) + Hfg, Where m is the mass of water, Cp is the specific heat of water, ΔT is the change in temperature, and Hfg is the enthalpy of vaporization of water. The first stage of the process involves heating water from 25°C to 110°C at a constant pressure of 232.1 kPa.

Therefore, ΔT = (110 - 25)°C = 85°CCp of water = 4.18 kJ/kg°C

Therefore, the enthalpy change for the first stage is given by; H1 = (1000 kg/h) (4.18 kJ/kg°C) (85°C) + HfgH1 = 356.5 kJ/kg + Hfg

In the second stage, water is heated further at the same pressure until it is vaporized. The enthalpy change for this process is given by; H2 = mHfg Hfg = 2256 kJ/kg

Therefore, H1 = 356.5 kJ/kg + 2256 kJ/kg = 2612.5 kJ/kg

The total enthalpy change in the first stage and both stages = 2612.5 kJ/kg

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When the earth passes through orbit that has the trail of dust and gas after the comet passes through the orbit, the are chnaces of meteor shower.

Here, in the given image, the comet path is intersecting the earth's orbit.

Thus, the chances of meteor shower are very large if there is the comet whose trail of dust or gas has just passes through the nearby the earth orbit.

Answer:

The magnetic force disappears

Answer:

In order from largest to smallest these terms are:

In order from largest to smallest these terms are:UniverseGalaxySolar systemStarPlanetMoonAsteroidWe can generally say that a Moon is larger than an asteroid however some moons are quite large while others are smaller than many known asteroids. Asteroids are small rocky bodies that orbit the Sun, while moons are objects that orbit planets. Jupiter and Saturn have attracted many objects out of the asteroid belt and gathered them as moons.

The gravitational potential energy associated with the plane is 2.36 x \(10^{5}\) J

Gravitational potential energy is energy an object possesses because of its position in a gravitational field.

It is given by P.E = mgh

where m = mass

g= acceleration due to gravity

h = height of the object

Here,

h = 1.45km  = 1450 m

P.E = 3.36 x \(10^{9}\) J

g = 9.8m/\(s^{2}\)

therefore, m = P.E/ gh = (3.36 x \(10^{9}\)s J)/ 9.8 x 1450

m = 2.36 x \(10^{5}\)

Hence mass of the airplane is 2.36 x \(10^{5}\)

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The force should be applied at an angle of approximately 34.6 degrees with respect to the handle.

The torque produced by a force applied to a lever arm is given by the equation:

Torque = Force × Lever Arm × sin(θ)

Where Torque is the torque produced, Force is the applied force, Lever Arm is the length of the lever arm, and θ is the angle between the force and the lever arm.

Rearranging the equation, we have:

sin(θ) = Torque / (Force × Lever Arm)

Plugging in the given values:

sin(θ) = 0.56 Nm / (11 N × 0.091 m)

sin(θ) ≈ 0.559

To find the angle θ, we take the inverse sine (sin⁻¹) of 0.559:

θ ≈ sin⁻¹(0.559)

θ ≈ 34.6 degrees

Therefore, the force should be applied at an angle of approximately 34.6 degrees with respect to the handle.

To achieve a torque of 0.56 Nm with an applied force of 11 N and a spanner length of 9.1 cm, the force should be applied at an angle of approximately 34.6 degrees with respect to the handle. This angle ensures that the force component perpendicular to the lever arm generates the desired torque.

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The centripetal force on the car with a mass of 1500 kg is 1973.7N.

A centripetal force is a force that makes a body follow a curved path.

To calculate the centripetal force on a car, we use the formula below.

Formula:

Where:

Where:

Substitute these values into equation 1

Hence, the centripetal force on the car is 1973.7N.

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Answer:

\(3.16*10^1^1\) kg

Explanation:

According to Newton's Law of Universal Gravitation:

\(F=G\frac{m_1m_2}{r^2}\\F=0.0996381755N\\G=6.674*10^-^1^1\frac{Nm^2}{kg^2}\\m_2=42.90kg\\r=95.32m\)

Rewriting to solve for \(m_1\):

\(m_1=\frac{F(r)^2}{G(m_2)}\\m_1=\frac{(0.0996381755N)(95.32m)^2}{(6.674*10^-11\frac{Nm^2}{kg^2})(42.90kg)}\\m_1=3.16*10^1^1kg\)

I believe this is the answer based on the given values, but it is not a logical answer.  Is it possible one or more of the values in the question were entered incorrectly?

Answer:

15 m/s

Explanation:

150m ÷ 10s = 15m/s

Torque is the tendency of a force to rotate an object around an axis or pivot point. In this case, the surfboard acts as the object and the pivot point is the center of the board.

To balance the surfboard, the torques produced by Jack and Joe's forces must be equal.

We can calculate the torque by multiplying the force applied by the distance from the pivot point.
For Jack, the torque he produces is 57 N x 1.215 m (half of the surfboard's length) = 69.255 Nm.
To balance the surfboard, Joe must produce a torque that is equal and opposite to Jack's torque. The distance from Joe's force to the pivot point is the same as Jack's, so we can solve for Joe's force using the equation: torque = force x distance.
Rearranging the equation, we get: force = torque / distance. Plugging in the values, we get: force = 69.255 Nm / 1.215 m = 56.98 N.
Therefore, Joe must exert a force of 66 N (57 N + 66 N = 123 N, which is half of the surfboard's weight of 143 N) to balance the surfboard.

In summary, Joe must apply a force of 66 N to balance the surfboard, as the torques produced by Jack and Joe's forces must be equal to keep the board level.

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Observable from stars ripped out of smaller galaxies, and which have shells of stars encircling them.

It is a system that collection of all the planets and spatial bodies revolving around the sun because of the gravitational pull of the sun.

Our Solar System is based on a heliocentric model in which the Sun is assumed to reside at the central point of the planetary system.

Observables of certain elliptical galaxies with shells of stars surrounding them that are likely developed from stars torn out of smaller galaxies.

The predominant elliptical nature of the galaxy populations in the center of massive galaxy clusters.

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The mass of the suspended object is 3.2 kg.

Solution:

25 N - m (9.8 m/s²) = - m (2.0 m/s²)

= m = (25 N) / (9.8 m/s² - 2.0 m/s²) ≈ 3.2 kg

When suspending an object freely from one point and with a stable balance, hang it so that the center of gravity is directly below the mounting point. In this sketch, the object is suspended at point A and its center of gravity G is directly below point A.

Objects can be hung by strings from a fixed point and can be freely hung and balanced. This is either informed in the question statement or previously determined using previous calculations. Mass must be specified in kilograms.

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The disintegration energy is found to be 4.26 MeV.

Disintegration energy -The energy released during radioactive decay is known as disintegration energy. When an unstable atomic nucleus decays or transforms into a more stable nucleus, energy is released in the form of radiation and ionizing particles. This process is known as radioactive decay.

The given equation is an example of alpha emission.

We know that disintegration energy is given by

Q= \(KE_{\alpha }\)\(\frac{(m_{\alpha } +m_{y} )}{m_{y} }\)

Here, \(KE_{\alpha }\)= kinetic energy of the alpha particle= 4.196MeV

Q= disintegration energy

Q= \(4.196\)\((\frac{238+4}{238} )\)= 4.196×1.0168= 4.266 MeV

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