The mass of a moving object appears to be 3.11% greater than its rest mass. What is it speed?

The object will land a distance of ωR√(2h/g) east of the point vertically below where it was dropped.

The rotation of the Earth causes the object to have an eastward velocity component, which causes it to land to the east of the point vertically below where it was dropped.

To determine how far to the east the object will land, we need to consider the following:

Let's assume that the building is located exactly on the equator, so its distance from the Earth's axis is equal to the radius of the Earth, R. The angular speed of the Earth's rotation is given by the symbol omega, which is approximately equal to 7.27 x 10⁻⁵ radians per second.

First, let's find the eastward velocity component of the object due to the Earth's rotation. This can be calculated using the formula:

v = ω * R * cos(latitude)

where;

Since cos(0) = 1, the formula simplifies to:

v = ωR

Next, let's find the time it takes for the object to fall from the top of the building to the ground. This can be calculated using the formula:

t = √(2h/g)

where;

Finally, let's find the distance the object moves eastward during that time due to its eastward velocity component.

This can be calculated using the formula:

d = vt

Substituting the formulas for v and t, we get:

d = ωR√(2h/g)

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To calculate the volume of a parallelepiped given the sides, we can use the scalar triple product. The formula for the volume of a parallelepiped with sides a, b, and c is:

Volume = |a · (b × c)|

where · represents the dot product and × represents the cross product.

Using the given sides:

a = (7, 2, 4)

b = (4, 7, 6)

c = (3, 4, 7)

First, calculate the cross product of b and c:

b × c = (7*7 - 4*4, 6*3 - 7*7, 4*4 - 2*3)

      = (49 - 16, 18 - 49, 16 - 6)

      = (33, -31, 10)

Next, calculate the dot product of a and the cross product (b × c):

a · (b × c) = 7*33 + 2*(-31) + 4*10

           = 231 - 62 + 40

           = 209

Finally, take the absolute value of the result to obtain the volume:

Volume = |209| = 209 cubic units

Therefore, the correct answer is:

209 cubic units

In a battery (voltaic cell), Conventional current flow from the sink copper plate to the sink plate.

According to the conventional current theory, current leaves the positive terminal, travels through the circuit, and then enters the source's negative terminal. When electricity was discovered, this convention was chosen.

The movement of electrons is current. Most people prefer to believe that electricity (or electrons) move at the speed of light or even faster.

Most conductors are made of metal. Atoms in metals have a large number of free electrons. Electrons "jump" from one atom to the next when an electromotive force (EMF) is applied, resulting in current flow.

Therefore, In a battery (voltaic cell), Conventional current flow from the sink copper plate to the sink plate.

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The diameter of the smaller end of the pipe is approximately 0.78 meters.

To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.

The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity

Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2

Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2

Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30

Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30

0.36 * 13 = (diameter2/2)^2 * 30

4.68 = (diameter2/2)^2 * 30

Dividing both sides by 30:
0.156 = (diameter2/2)^2

Taking the square root of both sides:
0.39 = diameter2/2

Multiplying both sides by 2:
0.78 = diameter2

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Answer:

a) v1f = 0.25 m/s

b) F = 50000N

Explanation:

a) In order to calculate the speed of the player after he fires the puck, you use the conservation of momentum law. Before the puck is in motion and after the total momentum of both player and puck must conserve:

\(m_1v_{1i}+m_2v_{2i}=m_1v_{1f}+m_2v_{2f}\)        (1)

m1: mass of the player = 100kg

v1i: initial velocity of the player = 0m/s

v2f: final velocity of the puck = ?

m2: mass of the puck = 0.5kg

v2i: initial velocity of the puck = 0 m/s

v2f: final velocity of the puck = 50 m/s

You replace these values into equation (1) and you solve for v1f (final velocity of player):

\(0kgm/s+0kgm/s=(100kg)v_{1f}+(0.5kg)(50m/s)\\\\v_{1f}=-\frac{(0.5kg)(50m/s)}{100kg}\\\\v_{1f}=-0.25\frac{m}{s}\)

The minus sign means that player moves in a opposite direction to the motion of the puck

The velocity of the player after he fires the puck is 0.25 m/s

b) The force needed is given by the change in time , of the momentum of the player, which is given by:

\(F=\frac{\Delta p}{\Delta t}=m\frac{\Delta v}{\Delta t}\)

The change on the velocity of the puck is 50m/s, and the time interval is 0.1s.

\(F=(100kg)\frac{50m/s}{0.1s}=50000N\)

The force needed to create the needed impulse, to accelerate the puck is 50000N

Answer:

B. 23 kg*m/s north

Explanation:

p_1 = p_2

(m*v)_1 + (m*v)_2 = (m*v)_1' + (m*v)_2'

(70kg*1.4m/s)+(75kg*-1.0m/s) = p_2

(98kg*m/s)+(-75kg*m/s) = 23kg*m/s north

B. 23 kg*m/s north

Two hockey players are about to collide on the ice, so the total momentum of the system when they collide is  23 kg m/s. Hence, option B is correct.

The result of a particle's mass and velocity is momentum. It has both magnitude and direction because momentum is a vector quantity. According to Isaac Newton's second law of motion, the force pushing a particle has an equal and opposite effect on the temporal rate at which its momentum changes.

\(Momentum (p)= Mass(m)*Velocity(v)\)

The given values according to the question is :

p₁ = p₂

(m × v)₁+ (m × v)₂ = (m × v)₁' + (m × v)₂'

(70 kg × 1.4 m/s) + (75 kg) × (-1.0 m/s) = p₂

(98 kg m/s) + (- 75 kg m/s) = 23 kg m/s North

Therefore, the total momentum after collision is 23 kg m/s North.

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The net force acting on the block of wood is 11 N to the right. Therefore correct answer is option C.

We know that, net force on any object can be obtained by adding all the forces acting on it (keeping in the mind the direction of forces).

Given friction is negligible, that means the forces acting on the block are force of gravity downwards, normal force upwards and the four horizontal forces by students.

Now, the net force on the block can be calculated in two parts;

In vertical direction,

There is no movement of block in vertical direction that means force of gravity was balanced by the normal force.

Fg = N (∵ acceleration in vertical direction = 0)

In horizontal direction,

four forces are acting, two towards right and two towards left

F₁ (towards right) = 10 N + 8 N = 18 N

F₂ (towards left) = 5 N + 2 N = 7 N

Now, \(F_{net} = F_{1} -F_{2}\)

                 = 18 N - 7 N

                 = 11 N ( to the right)

So, the net force acting on the block of wood is 11 N to the right.

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The distance you will travel during this inattentive period is 0.083 Km

We'll begin by listing out the given parameters from the question. This is given below:

We know that speed is defined as:

Speed = distance / time

Cross multiply

Distance = speed × time

With the above formula, the distance travelled can be obtained as follow:

Distance = speed × time

Distance travelled = 100 × 0.00083

Distance travelled = 0.083 Km

Thus, from the above calculation, we conclude that the distance travelled is 0.083 Km

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Answer:

B. FALSE

Explanation:

Gravity is a force that acts on all objects with mass, pulling them towards the center of the Earth. The force of gravity is the same for all objects, regardless of their mass or the location on the Earth's surface. Therefore, the books on the bottom shelf experience the same amount of gravity as the books on the top shelf.

The answer would be (B) False.

The final velocity of the red ball is 18 m/s.

The term momentum has to do with the product of the mass and the velocity of an object We know that the momentum is always conserved in accordance with the Newton third law. Also it is clear that the momentum before collision is equal to the total momentum after collision and we are going to apply this principle here.

Then;

Mass of the blue ball =  6 kg

Mass of the red ball =  1 kg

Initial velocity of the blue ball =  4 m/s

Initial velocity of the red ball = 0 m/s

Final velocity of the red ball = ??

Final velocity of the blue ball =  1 m/s

We now have;

(6 * 4) + (1 * 0) = (1 * v) + (6 * 1)

24 = v + 6

v = 24 - 6

v = 18 m/s

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When a car comes to a stop, the car’s brakes create a force that is in the opposite direction as the velocity vector.

A friction force is a type of force that opposes two surfaces that are in contact with each other.

According to Newton's first law of motion, an object at rest or uniform motion in a straight line will continue in that state unless it is acted upon by an external force. And the object will tend to move in the direction of the applied force.

So if a car's brake is applied, it will create a friction force that will oppose the motion of the car and by so doing, it will gradually bring the car to a complete stop.

The force created by the brake of the car is friction force and it is in opposite direction to the force of the car.

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There are six half lives that have passed within 34,200 years. When we assume that we have some of the products present initially, then we overestimate the age of the sample.

The half life is the time taken to obtain only half of the number of atoms that were originally present in the radioactive material. We know that living things do contain the carbon- 14 isotope together with the carbon - 12 isotope in the substance. When the organism dies, the carbon - 14 which is radioactive begins to decay and its half life could be used to estimate the age of the sample as we know.

Given that after each half life, we have only half of the original amount that remains. We would have 1/64 of the original amount left after six half lives and this means that 34,200 years have passed.

If we  the daughter product of carbon-14 is present in the sample when it forms (even before any radioactive decay happens), then we would over estimate the  age of the sample.

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Answer: B

Explanation: because B

Answer:

B

Explanation:

0= no movement

Answer:

Explanation:A

If on a highway curve with radius 36 m, the maximum force of static friction. The  speed limit that should be posted for the curve so that cars can negotiate it safely is 15.28 m/s.

Radius =36 m

Maximum force of static friction = 7,927 N

Magnitude of the force is F = m v2/r

So,

Limit speed is:

v = (Fr/m)^1/2

v= (7,927N × 36 m/ 1223 kg)^1/2

v= 15.275 m/s

v= 15.28 m/s (Approximately)

Therefore we can conclude that the speed limit is  15.28 m/s.

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Answer:

Matter and energy are two closely related concepts in physics. Matter is anything that has mass and takes up space, while energy is the ability to do work.

One similarity between matter and energy is that they can both be converted into each other. For example, when you burn wood, the chemical energy in the wood is converted into heat and light energy.

Another similarity between matter and energy is that they are both conserved. This means that the total amount of matter and energy in the universe never changes.

Finally, matter and energy both obey the laws of physics. This means that they can be described and predicted using the same mathematical equations.

Here are some other similarities between matter and energy:

- Both matter and energy can be stored.

- Both matter and energy can be transferred from one object to another.

- Both matter and energy can be converted into different forms.

- Both matter and energy can be used to do work.

Despite their similarities, there are also some important differences between matter and energy. One difference is that matter has mass, while energy does not. Another difference is that matter takes up space, while energy does not.

Answer: both energy and matter are conserved within a system. This means that energy and matter can change forms but cannot be created or destroyed

Explanation: lol just learned this! hope it helps :)

Given that,

Initial speed, u = 20 km/s

Acceleration of plane, a = 2.4 km/h²

Time, t = 59 s

We need to find the expression to find the final velocity of an object.Let the final velocity is v.

Using the second equation of kinematics:

\(\Delta s=ut+\dfrac{1}{2}at^2\)

a is acceleration, \(a=\dfrac{v-u}{t}\)

So,

\(\Delta s=ut+\dfrac{1}{2}\times \dfrac{v-u}{t}\times t^2\\\\\Delta s=ut+\dfrac{1}{2}(v-u)t\\\\\Delta s=\dfrac{2ut+vt-ut}{2}\\\\\Delta s=\dfrac{vt+ut}{2}\\\\\Delta s=(\dfrac{v-u}{2})t\)

We can use the above formula to find the final velocity (v) of the plane.

a. A high-pitch wave is characterized by a high frequency and a short wavelength. The frequency determines the pitch of the sound, with higher frequencies corresponding to higher pitches.

The wavelength is the distance between two consecutive peaks or troughs of the wave and is inversely proportional to the frequency. Therefore, a high-pitch wave has a shorter wavelength.

The amplitude of the wave, which is the height of the peak or the depth of the trough, is not directly related to the pitch of the sound, but it does determine the volume or intensity of the sound.

b. A high-volume wave is characterized by a high amplitude and a relatively long wavelength. The amplitude determines the volume or intensity of the sound, with higher amplitudes corresponding to louder sounds.

The wavelength of the wave does not directly affect the volume of the sound, but it can affect how the sound is perceived in different environments.

In general, longer wavelengths are more effective at traveling through obstacles such as walls and are better at penetrating long distances, whereas shorter wavelengths are more easily scattered and attenuated in the atmosphere.

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According to the question the largest force constant of the spring that will be needed to meet the design criteria is -65937.5 N/m.

Force is an influence that causes a change in an object’s state of motion, either by causing it to move, speed up, slow down, or change direction. Force can also act on an object to cause it to deform or change shape. Force is a vector quantity, meaning it has both magnitude, or size, and direction associated with it. Examples of forces include gravitational force, electrical force, magnetic force, and friction force. Force is measured in newtons (N) and is usually expressed as a vector quantity using symbols such as F = ma, where F is the magnitude of the force, m is the mass of the object, and a is the acceleration of the object.

The equation for the total work done by the friction force is given by:

W = Fd = 515 N * 5.0 m = 2575 J

The equation for the total work done by the spring force is given by:

W = Fd = kx^2/2

Where k is the spring constant and x is the compression distance.

We can then use the conservation of energy equation to solve for k:

2575 J = (kx^2/2) + (1350 N * 5.0 m)

We can then rearrange the equation to solve for k:

k = (2575 J - 67500 J) / (0.25 m^2)

k = -65937.5 N/m

Therefore, the largest force constant of the spring that will be needed to meet the design criteria is -65937.5 N/m.

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The mass of the wheel is 0.38 kg. It is related to weight, which is the force exerted on an object due to gravity and is proportional to the object's mass.

What is Mass?

Mass is a measure of the amount of matter in an object. It is a scalar quantity and is usually measured in kilograms (kg) in the SI system of units. Mass is a fundamental property of an object and does not change with its location or motion.

Let's start by finding the tension in the wire using the motion of the object. We can use the kinematic equation:

y = (1/2)at^2

where y is the distance the object moves, a is the acceleration, and t is the time. Substituting the given values:

2.95 m = (1/2)a(1.85 s)^2

Solving for the acceleration:

a = 2.47 m/s^2

Now, we can find the tension in the wire using the rotational dynamics of the wheel. The torque due to the tension is equal to the moment of inertia times the angular acceleration:

τ = Iα

where τ is the torque, I is the moment of inertia, and α is the angular acceleration. Since the wheel is rotating without friction, the torque due to the tension is the only torque acting on the wheel, so:

Tension * radius = (1/2)mr^2 * α

where m is the mass of the wheel and r is its radius. We can rearrange this equation to solve for the tension:

Tension = (1/2)ma

Substituting the values we found:

Tension = (1/2)(4.3 kg)(2.47 m/s^2) = 5.31 N

Now we can use the torque equation again to solve for the moment of inertia of the wheel:

Tension * radius = (1/2)mr^2 * α

Substituting the values we found and solving for the moment of inertia:

I = 2(Tension * radius) / α = 0.033 kg·m²

Finally, we can use the moment of inertia to find the mass of the wheel using the formula:

I = (1/2)mr^2

Substituting the values we found:

0.033 kg·m² = (1/2)m(0.288 m)^2

Solving for the mass:

m = 2I / r^2 = 0.38 kg

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The temperature gradient in the flow of direction is 294525 W.

A temperature gradient is the gradual variance in temperature with distance. The slope of the gradient is consistent within a material. A gradient is established anytime two materials at different temperatures are in physical contact with each other.

Q= T/( L/ KA)

Q= ( 1500 − 450) / 0.15 / 9.35v * 4.35)

   = 294525 W

Units of measure of temperature gradients are degrees per unit distance, such as °F per inch or °C per meter.

Many temperature gradients exist naturally, while others are created. The largest temperature gradient on Earth is the Earth itself. Q= T/Ka.

Therefore, The temperature gradient in the flow of direction is 294525 W.

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Air resitances also know as drag is a force that is caused by air the force acts in oppsite directions to an object moving through the air ..

HOPE THIS HELP YOU ..

The mass of the wire of lowest A on a piano is 0.00165 kg.

The frequency of a vibrating string is given by the equation:

f = (1/2L) * sqrt(T/μ)

where f is the frequency of the string, L is the length of the string, T is the tension in the string, and μ is the linear mass density of the string (mass per unit length).

We know the frequency of the lowest A on a piano is 27.5 Hz. We also know that one half wavelength occupies the string, so the length of the string is half the wavelength:

L = (1/2) * λ

The wavelength of a sound wave is given by:

λ = 2L/n

where n is the number of nodes (points of zero displacement) in the wave. For the lowest A on a piano, n = 1, so we can write:

λ = 2L

Substituting this into the equation above for L, we obtain:

L = λ/2

Now we can substitute these values into the first equation:

27.5 = (1/2)(λ/2) * sqrt(308/μ)

Simplifying, we get:

λ = 4L

308/μ = 4(27.5)^2 (1/4)

μ = 0.000824 kg/m.

Since μ = m/L, where m is the mass of the wire and L is its length, we can find the mass of the wire by multiplying the linear mass density by the length of the string:

m = μL

The length of the string is given as 2.00 m, so we can write:

m = 0.000824 kg/m * 2.00 m = 0.00165 kg

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Answer:

a spring scale

Explanation:

i think it is correct

Answer:

 θ =  3.19  arc second

Explanation:

The resolution of a telescope is given by the rayleigh criterion, which establishes that two objects are separated if the principal maximum of diffraction of one of them coincides with the first minimum of diffraction of the second object, based on this the solution is given by the first diffraction minimum, the a slit is

        a sin θ = m λ

with m = 1

in the case of circular apertures the equation must be found in polar coordinates, therefore a numerical constant is introduced

        a sin θ = 1.22 λ

Angles are measured in radians and in these experiments they are small

        sin θ = θ

       θ= 1.22  λ  / a

in this case a = 6.09 in, the wavelength is wrong = 550 10⁻⁹ m which is the maximum resolution of the human eye

l

et's reduce the magnitudes to the SI system

        d = 6.09‘  2.54 10⁻-2 m / 1 inch = 15.4686 10-2 m

let's calculate

       θ = 1.22 550 10-9 / 15.468 10-2

       θ = 15.5 10⁻⁶ rad

       rad = 2.06 105 s

       θ = 15.5 10⁻⁶ rad  2.06 105s/ 1 rad

       θ =  3.19   s

The absolute pressure at an ocean depth of 1.0 x 10^3 m is 1.002 x 10^8 Pa.

Hydrostatic pressure is the pressure that a fluid exerts on a surface due to the weight of the fluid above it. It is the result of the force of gravity acting on a column of fluid, and it is directly proportional to the height of the column of fluid and the density of the fluid.

The absolute pressure at an ocean depth of 1.0 x 10^3 m can be calculated using the hydrostatic pressure equation:

P = ρgh + Po

where:

P is the absolute pressure at the given depth

ρ is the density of the water

g is the acceleration due to gravity (assumed to be 9.81 m/s²)

h is the depth of the ocean

Po is the atmospheric pressure at the surface (assumed to be 1.01 x 10^5 Pa)

Substituting the given values, we get:

P = (1.025 x 10^3 kg/m³) x (9.81 m/s²) x (1.0 x 10^3 m) + 1.01 x 10^5 Pa

P = 1.025 x 9.81 x 10^6 Pa + 1.01 x 10^5 Pa

P = 1.002 x 10^8 Pa.

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Answer:

0.65 m/s NORTH

Explanation:

North is +, south is -

let V = velocity of the 0.12 kg ball AFTER the collision

Law of conservation of momentum (P = mv) states that total momentum before the collision must equal total momentum after the collision.

(0.10 kg)(9.6 m/s) - (0.12 kg)(7.6 m/s) = -(0.10 kg)(0.30 m/s) + (0.12 kg)(V)

                           Before                     →              After

0.96 kg·m/s - 0.912 kg·m/s = -0.03 kg·m/s + 0.12 kg(V)

0.048 kg·m/s + 0.03 kg·m/s = 0.12 kg(V)

0.078 kg·m/s = ·0.12 kg(V)

V = 0.078 kg·m/s / 0.12 kg = 0.65 m/s NORTH

The variable that can determine whether the fruit or vegetable will float or sink is its density.

What is density?

Density is a measure used to compare the amount of matter a substance / an object has to its respective volume. It shows the denseness in a given area of substance. The formula of density is mass per unit volume.

If an object has less density than the liquid in which it is being placed then the object will float whereas if it is denser than the liquid, then it will get sink. Basically, it measures how heavy that particular object is as compared to the its volume. For example, if we take banana, pear it will float whereas potatoes, mangoes will sink.

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Answer:

Mirror used in automobile and trucks for wider area and smaller image is convex mirror.