You purchased 1.9 kg of apples from Wollaston. You noticed that they used a spring scale with the smallest division of 2.1 g to weigh them. What is the relative error in this weight measurement as a percentage

Answer:

increasing the temperature of the object

Explanation:

PE=mgh

5=m(9.8)(2)

m=5/19.6

m=0.2251 kg

m=225.1 grams

A car drives around a racetrack for 30 seconds. To calculate the average velocity of the car we need to know about distance. from option B and D we can calculate velocity. Therefore option B and D is correct.

Velocity is "rate of change of displacement with respect to time".

i.e. v= dx/dt. it is also defined as displacement over time.

i.e. v=Displacement/Time. Velocity shows how much distance can be covered in unit time. It's SI unit m/s. Dimension of velocity is  [M⁰ L¹ T⁻¹].

Option A) The slope of the car's velocity-time graph.

it gives Velocity/time. we can not find average velocity with this data.

Option B) The total displacement of the car.

when we know displacement and time, we can calculate velocity. therefore this option is correct.

Option C) The area under the position-time graph.

This gives position×time, which is useless to find velocity.

Option D) The slope of the car's position-time graph.

this gives velocity of the car. Therefore this option is correct.

Hence option B and D is correct, we can calculate average velocity from them.

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Answer

lol

Explanation:

The magnitude of the damping coefficient is = 0.277 Ns/m

We can use the formula for the damped harmonic motion of a spring-mass system:

At t=0, the displacement of the egg is x = 0.300 m, and at t=5.00 s, the displacement has decreased to x = 0.100 m.

The angular frequency of the motion is:

w = sqrt(k/m) = sqrt(25.0 N/m / 0.0500 kg) = 10.0 rad/s

The equation for the amplitude of the motion at time t is:

A = x / cos(wt + delta) * e^(bt/2m)

At t=0, we have:

A = 0.300 m / cos(0 + delta) * e^(b0/20.0500 kg) = 0.300 m / cos(delta)

At t=5.00 s, we have:

A = 0.100 m / cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg)

Dividing these two equations, we get:

0.300 m / cos(delta) / (0.100 m / cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg)) = e^(b5.00 s/20.0500 kg)

Simplifying, we get:

cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg) / cos(delta) = 3.00

Taking the natural logarithm of both sides, we get:

ln(cos(10.0 rad/s * 5.00 s + delta) * e^(b5.00 s/20.0500 kg) / cos(delta)) = ln(3.00)

Using the properties of logarithms, we can simplify this to:

ln(cos(10.0 rad/s * 5.00 s + delta)) + b*5.00 s / 0.0500 kg / 2 - ln(cos(delta)) = ln(3.00)

We can rearrange this equation to solve for b:

b = (2/5.00 kg) * (ln(3.00) - ln(cos(10.0 rad/s * 5.00 s + delta)) + ln(cos(delta)))

The phase angle delta is unknown, but it cancels out when we take the difference between the two equations for A. Therefore, we can choose any value of delta and still get the correct value of b.

Let's choose delta = 0 for simplicity. Plugging in the values, we get:

b = (2/0.0500 kg) * (ln(3.00) - ln(cos(10.0 rad/s * 5.00 s)) + ln(cos(0)))

b = 0.277 Ns/m

Therefore, the magnitude of the damping coefficient is = 0.277 Ns/m

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A 50.0-g hard-boiled egg moves on the end of a spring with force constant k=25.0N/m. It is released with an amplitude 0.300 m. A damping force Fx=−bv acts on the egg. After it oscillates for 5.00 s, the amplitude of the motion has decreased to 0.100 m.Calculate the magnitude of the damping coefficient b.

Answer:

Explanation:

The object's height is the vertical position along its trajectory.

Answer: An increase in carbon dioxide will occur in the atmosphere because there are less trees to use the gas in the process of photosynthesis.

Explanation: Photosynthesis can be simply defined as a process where green plants uses minerals from the soil, water and carbon dioxide to produce their own food (energy-rich organic compound/starch) while oxygen is released into the environment.

On the other hand, Human beings and other animals inhales the oxygen released into the environment by green plants and breath out carbon dioxide.

Deforestation is the permanent removal trees either for commercial or household use or in some cases, to make room or space for other activities or development.

Now when these trees (green plants) are permanently cut down without replacement, humans and other animals continuously exhale carbon dioxide and there will be little or no green plants (trees) available to convert this carbon dioxide into oxygen.

Hence, there will be an increased amount of carbon dioxide in the atmosphere as their are little or no tress to use the gas (carbon dioxide) in the process of photosynthesis.

The expression \(X^{N} + Y^{N}\)is not divisible by X - Y (where Y is not equal to 0).

To determine whether the expression \(X^{N} + Y^{N}\) is divisible by X - Y (where Y is not equal to 0), we can use the factor theorem and the property of binomial expansion.

The factor theorem states that if a polynomial P(x) is divisible by (x - a), then P(a) equals zero. In our case, if \(X^{N} + Y^{N}\) is divisible by (X - Y), then when we substitute X = Y into the expression, the result should be zero.

Let's substitute X = Y into the expression:

\(Y^{N} + Y^{N}\)

Since \(Y^{N}\) is equivalent to \(Y^{N}\) , the expression becomes:

2(\(Y^{N}\))

We can see that the expression 2(\(Y^{N}\)) is not equal to zero unless Y is equal to zero. Therefore, if Y is not equal to zero, \(X^{N} + Y^{N}\) is not divisible by X - Y.

In summary, unless Y is equal to zero, the expression \(X^{N} + Y^{N}\) is not divisible by X - Y according to the factor theorem and the given condition.

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Answer:

An object with negative acceleration could be speeding up, and an object with positive acceleration could be slowing down.

Explanation:

hope this helps

have a great day/night

The initial angular velocity of the wheel would be 15.5 rad/s

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object. The unit of velocity is meter/second.

The relation between the linear velocity and the angular velocity

V= ωr

as given the initial  linear velocity is 8.22 m/s

the radius of the wheel is 0.530 m

By substituting the value of the linear velocity and the radius

8.22 = 0.530ω

ω = 8.22/0.530

ω = 15.5 rad/s

Thus, the initial angular velocity of the wheel comes out to be  15.5 rad/s

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Answer:

120

Explanation:

because it is horizontal

An object of mass 3.0 kg starts from rest and moves along the x-axis. A net horizontal force is applied to the object in the +x direction. The Force-time graph is shown below. The net impulse delivered by the applied force is 102 joule.

A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Force is used to describe a body's tendency to modify or change its state as a result of an external cause. When force is applied, the body can also alter its size, shape, and direction. kicking a ball, pushing and pulling on the door, or kneading dough are a few examples.

We know the Impulse = Area of the Graph

= ( 6 × 4) + 0.5 × 2 × 6

= 30 sec

For First 4 sec

Acceleration = 6 ÷ 3

= 2 m/sec²

S = 0.5 × 2 × 4²

= 16 m

Therefore, work Done = 6 × 16

= 96 J

Then, Average force

= ( 6 - 0 ) ÷ 2

= 3 N

Acceleration = 1 m/sec²

S = 0.5 × 1 × 2²

= 2 m

Work = 3 × 2

= 6 J

Total Work = 96 + 6

= 102 J

Thus, The net impulse delivered by the applied force is 102 joule.

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Answer:206.3

Explanation:

Given:

m = 2 x 10^6 kg

v = 93 m/s

SA wings = 1600 m^2

Pressure below - pressure above = weight / Area

P - P' = mg / A

Apply Bernoulli's principle:

P + 1/2 dv^2 = P' + 1/2 d v'^2

P-P' = 1/2 dv'^2 - 1/2dv^2

mg/A = 1/2 d (v'^2 - v^2 )

d = density of air = 1.225 kg/m^3

g = gravity = 9.8 m/s^2

Replacing:

Solve for v'

12,250 = 0.6125 (v'^2 - 93 )

12,250 /0.6125 = v'^2-93

20,000+93 = v'^2

√20,093 = v'

v' = 141.74 m/s = 142 m/s

The speed of the microwaves is 3 × 10^10 meters per second. This result indicates that microwaves, like all electromagnetic waves, travel at the speed of light in a vacuum.

The speed of a wave can be calculated using the formula: speed = frequency × wavelength. In this case, the frequency of the microwaves is given as 10,000 million Hz, which is equivalent to 10,000 × 10^6 Hz or 10^10 Hz. The wavelength is given as 0.03 m.

Plugging these values into the formula, we have:

Speed = (10^10 Hz) × (0.03 m)

Simplifying the calculation, we find:

Speed = 3 × 10^10 m/s

Therefore, the speed of the microwaves is 3 × 10^10 meters per second. This result indicates that microwaves, like all electromagnetic waves, travel at the speed of light in a vacuum. The speed of light is approximately 3 × 10^8 meters per second, so microwaves have a slightly higher speed due to their longer wavelength. It's important to note that the speed of light is a fundamental constant of nature and does not depend on the properties of the specific electromagnetic wave being considered.

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The air pressure decrease with increasing altitude as less air above pushes down and the weight of the air above is smaller.

When altitude increases, the amount of gas molecules in the air also decrease.

The air becomes less dense than air nearer to sea level.

When the atmospheric pressure is high at lower altitudes, the density being higher.

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Answer:

The Great Pyramid of Giza (also known as the Pyramid of Khufu or the Pyramid of Cheops) is the oldest and largest of the pyramids in the Giza pyramid complex bordering present-day Giza in Greater Cairo, Egypt.It is the oldest of the Seven Wonders of the Ancient World, and the only one to remain largely intact.

Explanation:

Answer:

f

Explanation:

a. The potential energy and its kinetic energy at the instant it is dropped will be 1126.25 J and 0 J respectively.

b. The potential energy and its kinetic energy at the time it is 15m high will be 735.75 J and 390.25 J respectively.

c. The velocity when it is 15m high will be 156.1 m/sec.

d. The height when velocity is 12 m/s will be 15.62 m

e. The potential energy and its kinetic energy at the time it strikes the ground will be 0 J and 1126.25 J respectively

f. The velocity with which it hits the ground will be 21.22 m/sec.

The energy of the body by the virtue of its motion is known as the kinetic energy of the body. It is defined as the product of half of mass and square of the velocity.

According to the law of conservation of energy, the total energy is defined as the sum of kinetic energy and potential energy.

Total energy = kinetic energy+potential energy

Also, the energy can not be created nor be destroyed can be transferred from one form to another form.

Kinetic energy is due to the position.While the kinetic energy is due to the velocity.

a)The potential energy and its kinetic energy at the instant it is dropped.

\(\rm PE_{drop}=mgh \\\\\ PE_{drop}=5 \times 9.81 \times 25 \\\\ PE_{drop}=1126.25 \ J\)

\(\rm KE_{drop}=\frac{1}{2} mv^2 \\\\ v= 0 \\\\ KE_{drop}=0 \ J\)

TE= 1126.25+0

TE= 1126.25+0

b. Potential energy and its kinetic energy at the time it is 15m high.

\(\rm PE_{15}=mgh \\\\ \rm PE_{15}= 5 \times 9.81 \times 15 \\\\ PE_{15}=735.75 \ J\)

TE=KE+PE

1126.25=KE+735.75

KE=390.25

c) Velocity when it is 15m high

\(\rm KE=390.25\\\\ 390.25=\frac{1}{2} \times 5 \times v_{15}^2 \\\\ v_{15}=156.1\ m/sec\)

d. Height when velocity is 12 m/s.

\(\rm KE = \frac{1}{2}mv^2 \\\\\ KE =\frac{1}{2} \times 5 \times (12)^2 \\\\ KE=360\ J\)

TE=KE+PE

1126.25=360+PE

PE=766.25

PE=766.25

mgh=766.25

5 ×9.81 ×h=766.25

h=15.62 m

E. Potential energy and its Kinetic energy at the time it strikes the ground.

\(\rm PE_{ground}=0 \ J\)

TE=KE+PE

TE=KE+0

TE=KE

TE= 1126.25

KE=1126.25 J

f. Velocity with which it hits the ground.

\(\rm KE_{ground}=1126.25 J \\\\ \frac{1}{2} mv^2=1126.25\\\\ v^2 = 450 \\\\ v= 21.22 \ m/sec\)

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According to Chargaff's rule, the amounts of adenine (A), thymine (T), and guanine (G) in the DNA molecule are equal to each other. The amounts of cytosine (C) and guanine (G) are also equal.

Erwin Chargaff was a biochemist, author, Bucovinian Jew who immigrated to America during the Nazi era, and professor of biochemistry at Columbia University's medical school.

Chargaff found patterns among the four bases, or chemical building blocks, of DNA, which are directly related to DNA's function as the genetic material of living things.

He was born in Austria-Hungary. Heraclitean Fire: Sketches from a Life Before Nature, an autobiography he penned, received positive reviews.

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When reading the simile "Bolt runs as fast as lightning," the most appropriate visual interpretation would be that "Bolt runs very fast."

This simile compares Bolt's speed to that of lightning, which is known for its incredible swiftness. The intention is to emphasize Bolt's exceptional speed by equating it to the rapid movement of lightning.

While the simile highlights Bolt's remarkable speed, it does not specify the manner in which he runs or the impact of each step. Therefore, the options suggesting Bolt runs in a straight line, in a wavy manner, or that each step produces thunder are not directly implied by the simile itself. These additional details go beyond the comparison of speed and introduce elements that are not explicitly mentioned.

Hence, the most accurate interpretation based solely on the simile is that Bolt runs very fast, comparable to the speed of lightning.

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The IMA of the ramp is 2.

Given data :

By using the formula,

MA = L / H

= 20 / 10

= 2

IMA = 2

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Kinetic energy is the energy that the pendulum have when it is hanging straight down and at the lowest point pendulum is the potential and kinetic energy is maximum.

A simple pendulum consists of a small mass suspended on an approximately massless, non-stretchable string. It is free to oscillate from side to side. The forces acting on the mass are the force of gravity and the tension in the string.

The tension cancels out the component of mg that lies along the string; this keeps the object from accelerating in the direction of the string, and thus keeps the string's length constant.

The net force is simply the remaining component of mg, which is pointed perpendicular to the string and is equal to Fnet=-mgsinФ

The pendulum only has gravitational potential energy, as gravity is the only force that does any work. The total energy of the pendulum is the potential energy at the maximum displacement, when the displacement is equal to the amplitude is 1/2mgLA^2.

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Answer:

e

Explanation:

Answer:

\(potential \: energy = mgh \\ = ( \frac{2500}{1000} ) \times 10 \times 5 \\ = 125 \: newtons\)

if height is 5 m

Answer: \(0.13m/s^2\)

Explanation:

\(Formula: a=\frac{V_2-V_1}{t}\)

Where;

a = acceleration

V2 = final velocity

V1 = initial velocity

t = time

If John runs 1.0 m/s first, we assume this is V1. He accelerates to 1.6 m/s; this is V2.

\(a=\frac{1.6m/s-1.0m/s}{4.5s}\)

\(a=\frac{0.6m/s}{4.5s}\)

\(a=0.13m/s^2\)

Answer:.13

Explanation:

Answer:

Explanation:

We can use the kinematic equation for vertical motion to find the value of the initial vertical velocity, v0y:

v0y = v0 * sin(θ)

Next, we can use the equation for vertical motion with constant acceleration (g = 9.8 m/s^2 is the acceleration due to gravity) to find the time it takes for the ball to reach the target:

v0y * t - 0.5 * g * t^2 = h

Solving for t:

t = sqrt(2 * h / g)

Finally, we can use the kinematic equation for horizontal motion (no acceleration in the horizontal direction) to find the horizontal velocity:

v0x = v0 * cos(θ)

So,

v0x = 10.84 * cos(θ) = 10.84 * cos(θ)

v0x = 10.84 * cos(θ) = 10.84 * cos(θ)

We do not have the value of θ, so we cannot determine the exact value of v0x.