#8. Benny pushes Betty on her skateboard with a force of 150 N. If she accelerates at 3.0 m/s? what is her
mass? Type the formula and answer.

Answer:

Explanation:

Writing out the Newton's Law pf Cooling:

dT/dt = -k * (T - A),

where T is the temperature of the coffee, A is the room temperature, and k is a positive constant.

If the coffee cools from 100°C to 90°C in 1 minute at a room temperature of 25°C,

T = 100

A = 25

dT = 100 - 90 = 10

dt = 1

Putting the figures into the equation:

10/1 = -k * (100 - 25)

k = -10/75°C

After 4 minutes, dT/4 = 10/75 (100 - 25) = 10

dT = 40

Temperature after 4 minutes = 100 - 40 = 60°C

The temperature of a cup of coffee varies according to Newton's Law of Cooling, the temperature of the coffee after 4 minutes is approximately 67°C.

To tackle this problem, we can apply Newton's Law of Cooling's differential equation and solve it using variable separation.

dT/dt = -k(T - A)

At t = 0 (initial condition): T = 100°C

At t = 1 minute: T = 90°C

dT/dt = -k(T - A)

At t = 0: dT/dt = -k(100 - 25)

So,

-10 = -k(75)

k = 10/75

Separating variables and integrating, we have:

1/(T - A) dT = -k dt

∫(1/(T - A)) dT = ∫(-k) dt

ln|T - A| = -kt + C

ln|100 - 25| = 0 + C

ln|75| = C

So, the equation will be:

ln|T - A| = -kt + ln|75|

ln|(T - 25)/(75)| = -kt

Now,

ln|((T - 25)/(75))| = -(10/75)(4)

|((T - 25)/(75))| = \(e^{(-40/75)\)

T - 25 = ± 75 *  \(e^{(-40/75)\)

T = 25 ± 75 *  \(e^{(-40/75)\)

T ≈ 25 ± 42.42

Therefore, the temperature of the coffee after 4 minutes is approximately:

T ≈ 25 + 42.42 = 67.42°C

Thus, the temperature of the coffee after 4 minutes is approximately 67°C.

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Answer:

Motion

Explanation:

I just took the test :)

P.S. Can I please get a brainliest (look at my account to see what i do with the points :p)

Kinetic energy is the energy that set an object or body in motion. Motion result in kinetic energy.

Kinetic energy is the energy required to set an object in motion.

It is the energy present in a moving body. This involve the movement of an object from one place to another as it is found in a moving ball or car.

Therefore, motion result in kinetic energy.

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ANSWER AND EXPLAINATION:
To calculate the impulse imparted on the baseball, we can use the impulse-momentum principle, which states that the impulse experienced by an object is equal to the change in momentum of the object. Mathematically, it can be expressed as:

Impulse = Change in momentum

The momentum of an object is given by the product of its mass and velocity:

Momentum = mass × velocity

In this case, the baseball has an initial mass of 0.14 kg and an initial velocity of 32 m/s. After being struck by the bat, it travels in the opposite direction at a velocity of 49 m/s.

Therefore, the change in momentum is given by:

Change in momentum = (mass × final velocity) - (mass × initial velocity)

Change in momentum = mass × (final velocity - initial velocity)

Change in momentum = 0.14 kg × (49 m/s - (-32 m/s))

Change in momentum = 0.14 kg × (49 m/s + 32 m/s)

Change in momentum = 0.14 kg × 81 m/s

Change in momentum = 11.34 kg·m/s

So, the impulse imparted on the baseball is 11.34 kg·m/s.

Answer:

\( \huge{ \boxed {\bold{ \tt{160 \: N}}}}\)

Explanation:

\( \boxed{ \sf{Force = Mass \: \times \: Acceleration}}\)

\( \sf{➛ force \: = 10\: \times 16}\)

\( \sf{➛ force = 160 \: Newton}\)

The amount of force is 160 N

Hope I helped!

Best regards! :D

~TheAnimeGirl

There is more to the Earth than what we can see on the surface. In fact, if you were able to hold the Earth in your hand and slice it in half, you'd see that it has multiple layers. But of course, the interior of our world continues to hold some mysteries for us. Even as we intrepidly explore other worlds and deploy satellites into orbit, the inner recesses of our planet remains off limit from us.

However, advances in seismology have allowed us to learn a great deal about the Earth and the many layers that make it up. Each layer has its own properties, composition, and characteristics that affects many of the key processes of our planet. They are, in order from the exterior to the interior – the crust, the mantle, the outer core, and the inner core. Let's take a look at them and see what they have going on.

Like all terrestrial planets, the Earth's interior is differentiated. This means that its internal structure consists of layers, arranged like the skin of an onion. Peel back one, and you find another, distinguished from the last by its chemical and geological properties, as well as vast differences in temperature and pressure.

Explanation:

Answer:

Explanation:

There are countless household appliances in every single house. One appliance with a low power rating would be a ceiling fan. On average ceiling fans consume roughly 60w and are found in the majority of houses. On the other side of the spectrum, we have a high power-rating appliance such as a microwave. Microwaves use anywhere between 1000w to 1800w of power in order to function correctly. This is very large power consumption and one of the highest power ratings found for appliances in a household.

Using Newton's second law and the universal gravitation law we find that the maximum acceleration response is

The universal law of Gravitation states that the force between two bodies is proportional to their masses and inversely proportional to the square of their distance

           F = \(G \frac{M m}{r^2}\)  

Where G is the universal gravitation constant (G = 6.67 10-11 N m²/kg²), M and m the mass of the bodies and r the distance between them

Newton's second law indicates that the force is proportional to the masses and the acceleration of the bodies

        F = m a

Where F is the force, m and a the mass and acceleration of the body     

let's substitute

         \(G \frac{Mm}{r^2}\)  = m a

         a = \(G \frac{M}{r^2}\)

In this case the acceleration is called centripetal since it corresponds to a circular motion of the Moon and the Earth.

In tables we can find the values:

Let's calculate the acceleration of the Moon around the Earth

      a₁ = 6.67 10⁻¹¹ \(\frac{5.98 \ 10^{24}}{ (3.84 \ 10^8 )^2 }\)

      a₁ = 2.71 10⁻³ m / s²

The acceleration of the Earth around the Sun  

      a₂ = 6.67 10⁻¹¹  \(\frac{1.991 \ 10^{30} }{(1.496 \ 10^{11})^2 }\)  

      a₂ = 5.93 10⁻³ m / s²

We can see that the acceleration around the Sun is twice the acceleration of the moon around the Earth

In conclusion they use Newton's second law and the universal gravitation law, we find that the maximum acceleration response is

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Answer:

18 kg * m/s

Explanation:

The equation for momentum is:

momentum = mass * velocity

And although the problem already gave velocity, you must calculate the mass from the graviational force.

Fg = 3.4N = mg = 9.8m

mass = 3.4 N / 9.8 m/s^2 = 0.3469 kg

Momentum = 52m/s * 0.3469 kg - 18.041 kg * m/s = 18

Answer:

It does not violate the first law because the total energy taken is what is used 100J = 25J + 75J

But violates 2nd lawbecause the engine has a higher energy after doing work than the initial for e.g A cold object in contact with a hot one never gets colder, transferring heat to the hot object and making it hotter confirming the second law

Answer:

A) W =250J B) Power = 125 J/s  C) Work = 250 J Power = 250 J/s

Explanation:

Work = Force*distance

A:

\(W = 10kg*10m/s^2*2.5m\\W = 250 J\\\)

B:

Power is J/s

Power = 250J/2.0s = 125 J/s

C:

Work stays the same

Power increases to 250 J/s

Answer:

Explanation: The moon of the Earth is much lighter in mass than the planet itself. In addition to being smaller than Earth, the Moon is also only approximately 60% as dense. A human weighs less on the Moon because there is less gravitational attraction there than there is on Earth.

Moon has lesser mass as conpared to earth, therefore gravitational force exerted by moon on any object is lesser than that of gravitational force exerted by earth on the same object, hence we can say that astronauts weight less on moon, i.e approximately 1/6 th of their weight on earth.

When you increase your speed from 35 mph to 70 mph, the force of impact you experience will be increased 4 times.

Hence, the correct option is B.

The force of impact in a collision is directly proportional to the square of the velocity. When the speed is doubled (increased from 35 mph to 70 mph), the force of impact will increase by a factor of four (\(2^2\)). This is a fundamental concept in physics known as the kinetic energy formula, which is given by:

Kinetic Energy = (1/2) * mass * \(velocity^2\)

Since kinetic energy is directly proportional to the square of velocity, doubling the speed results in four times the kinetic energy and, consequently, four times the force of impact.

Therefore, When you increase your speed from 35 mph to 70 mph, the force of impact you experience will be increased 4 times.

Hence, the correct option is B.

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Answer:

gravity

Explanation:

I don't know what the explanations would be

Answer:

e

Explanation:

Answer:

Velocity is a vector whose magnitude is called speed. Collision study needs to analyse the transfer of momentum, which is another vector quantity associated with the velocity vector of each object

Explanation:

The important concept to recall is that velocity is a vector quantity, which has direction apart from just magnitude (as speed is). So in the transfer of momentum (another vector quantity) that takes place in a collision, it is extremely important to know the direction of the velocity vector, since there is much larger transfer of momentum if the cars collide heads on, than if the cars collide from behind while going in the same direction.

A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm, the electromotive force (emf) of the cell is approximately 14.5 volts.

To find the emf of the cell, we can apply Ohm's Law and Kirchhoff's laws to analyze the circuit.

Given:

Resistance of the coil, R1 = 4 ohm

Resistance of the other resistor, R2 = 8 ohm

Current passing through the 8-ohm resistor, I = 2A

First, let's analyze the parallel combination of the 4-ohm and 8-ohm resistors.

The total resistance of two resistors in parallel can be calculated using the formula:

1/Rp = 1/R1 + 1/R2

Substituting the given values, we have:

1/Rp = 1/4 + 1/8

1/Rp = 2/8 + 1/8

1/Rp = 3/8

Rp = 8/3 ohm

Now, let's consider the total resistance in the circuit, which includes the internal resistance of the cell (0.5 ohm) and the parallel combination of the resistors (8/3 ohm).

R_total = R_internal + Rp

R_total = 0.5 + 8/3

R_total = 1.833 ohm

Now, we can find the emf of the cell using Ohm's Law:

emf = I * R_total

emf = 2 * 1.833

emf ≈ 3.667 volts

Therefore, the emf of the cell is approximately 3.667 volts.

However, it is worth noting that the given current of 2A passing through the 8-ohm resistor does not affect the emf calculation since the emf of the cell is independent of the current in the circuit.

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Answer:

 α = 5 rad / s²

Explanation:

This is a rotational kinematics exercise.

They indicate the initial velocity wo = 10 rad / s

             w = w₀ + α t

             α = \(\frac{w-w_o }{t}\)

let's calculate

             α = \(\frac{30-10}{4}\)

             α = 5 rad / s²

The velocity, the angular relation are the same in all the points of the wheel, the velocities and linear accelerations are the ones that change

            a = α r

            v = w r

Answer: 70N

Explanation:

'and'= multiply

7N*10N=70N

Answer:

0.5

Explanation:

Answer:

0.539

Explanation:

a) The path length difference between the light reflected from the bottom and top surfaces of the film is 3.4 x 10⁻⁶ m

b) It is equivalent to 8 wavelengths of violet light with a wavelength of 425 nm.

a) When light reflects off a thin film of air between two glass plates, interference between the reflected waves can result in constructive or destructive interference, depending on the thickness of the film and the wavelength of the light. This can lead to a range of optical phenomena, including coloration, reflection, and transmission.

In this scenario, violet light of 425 nm is reflected from a thin film of air with a thickness of 1.70 x 10⁻⁶ m. To find the difference in path length between the light reflected from the bottom surface of the film and the light reflected from the top surface, we can use the formula:

path length difference = 2 x thickness of the film

= 2 x 1.70 x 10⁻⁶ m

= 3.4 x 10⁻⁶ m

b) To find the number of wavelengths of light this presents, we can divide the path length difference by the wavelength of the light:

number of wavelengths = path length difference / wavelength

= (3.4 x 10⁻⁶ m) / (425 x 10⁻⁹ m)

= 8 wavelengths

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It is reasonable to conclude that science teachers generally agree that practical science is beneficial. Therefore, option (A) is correct.

Practical science refers to hands-on activities, experiments, and applications of scientific concepts in real-world settings. Science teachers, who are experts in their field and experienced in teaching science, understand the importance of practical science in facilitating students' understanding, engagement, and application of scientific principles.

Practical science allows students to develop critical thinking, problem-solving, and inquiry skills, as well as promoting a deeper understanding of scientific concepts. It also fosters curiosity, creativity, and a passion for science, making it an effective and essential component of science education.

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The weight of 15N should be hung at a distance of 4/3 units from the fulcrum, on the opposite side of the bar to a weight of 20N.

The fulcrum is attained equilibrium when the principle of moments is equal to zero. The principle of momentum is defined as the body is said to be balanced when the clockwise movement about the point is equal to the anticlockwise movement about the same point.

When a weight of 15N is hung on the bar, it produces an anticlockwise movement with the same magnitude, opposes the clockwise moment produced by the weight of 20N on the fulcrum.

To find the distance (d) at which the 15N weight should be hung, the distance from the 20N weight to the fulcrum is 1 unit.

20×1 = 15×d

d = 20/15

  =4/3 m

Thus, the weight of 15N should be hung by the distance of 4/3 units from the fulcrum, on the opposite side of the bar having the weight of 20N, to make the fulcrum to be at equilibrium.

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The change in surface area of Gaussian surface with radius (r) is 8πr.

The electric field experienced by a charge is calculated as follows;

\(E = \frac{Q}{4\pi \varepsilon_o r^2}\)

where;

The electric field reduces by a factor of \(\frac{1}{r^2}\)

The surface area of a sphere is given as;

\(A = 4\pi r^2\)

\(\frac{dA}{dr} = 8\pi r\)

Thus, the change in surface area of Gaussian surface with radius (r) is 8πr.

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a) Total momentum before collision is: \(\mathrm{\rho = M \times 3v_0 - M \times v_0 = 2M \times v_0}\)

b) Immediately after the collision, two objects move together with a speed of v₀. The direction of motion is to the right, as A was moving to right before collision.

Momentum may be defined as the product of mass and velocity of any object.

(a) Before the collision, total momentum of the system is :

\(\mathrm{\rho = m_A \times v_A + m_B \times v_B}\)

\(\mathrm{m_A = m_B = M, v_A = 3v_0, \ and \ vB = -v_0}\) (since B is moving to the left).

Therefore, total momentum before the collision is:

\(\mathrm{\rho= M \times 3v_0 - M \times v_0 = 2M \times v_0}\)

(b) Immediately after the collision, the two objects move with the same velocity v. Total momentum of the system is: p' = (mA + mB)  ×  v = 2M  ×  v

As total momentum is conserved: p' = p

\(\mathrm{2M \times v = 2M \times v_0}\)

\(\mathrm{v = v_0}\)

Therefore, immediately after the collision, two objects move together with a speed of v₀. The direction of motion is to the right, since A was moving to the right before collision.

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The speed of a sound wave depends on the density of the medium on which it propagates. Then, it is affected by temperature and humidity.

The speed of sound in dry air is lower than in moist air.

Then, it is not true that sound waves will travel faster on a dry day.

Therefore, the answer is:

Nearly four hours every day, doing little to no physical activity.

Answer:

J stands for Joules.

A has the most KE

Explanation:

Dog A

Dog B

Dog C

Dog D

After the given information and solving it the cumulative distance the bird travel is 6 km.

The given parameters of the motion are;

The velocity of the runner,

vr  = 2.2 km/hr

The distance from the finish line and the bird begins to fly from the runner to the finish line,

L = 4 km

The direction and speed of the runner = 6.6 km/hr in a straight line to the finish line and back to the runner

The speed of the bird = 4 × The speed of the runner

Given,

The length of the bird = 0

The bird turns without loss of speed

The time it takes the bird to reach the finish line,

t₁ = 4 km / (6.6 km/hr) = 0.606 hr

The distance the runner runs in time t₁,

d = 2.2 km/hr × 0.606 hr

d = 1.3332 km

The distance runner and  bird combined travel before they meet,

X, is given as follows;

X = L - d

X = 4 km - 1.3332 km

X = 2.667 km

We get; X = (vr + vb) x t

Which gives;

2.667 = ( 2.2 + 6.6) × t

t = 2.667/( 2.2 + 6.6 )

t =  2.667/(8.8)

t = 0.303

The time it take for the bird and the runner to meet,

t = 0.303 hour

The distance the bird travels before reaching the runner,

d₂ = vb x t

So,

d₂ = 6.6 km/hr × 0.303 hr = 2 km

The cumulative distance the bird travels dt = L + d2

dt = 4 km + 2km

dt = 6 km

The cumulative distance the bird travels by the time it reaches the runner dt = 6 km

Alternatively, we have;

db = d₁ + d₃

dr = d₂

d₁ + d₃ + d₂ = 2·L

So, dr + db = 2·L

dr = The distance runner runs before meeting with the bird

db = The distance bird travels before meeting with the runner

db = 4dr

So,

dr +  db = 3 × 4 = 12

dr + 4· dr = 4 · dr = 12

dr = 12 /4 = 3

db =3 × dr

db = 3 × 2

db = 6 km

The distance bird travels before meeting with the runner,

db = 6 km

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Given data:

* The mass of the car is 1719.44 kg.

* The velocity of the car is 9.22 m/s.

Solution:

The kinetic energy of the car in terms of mass and velocity is,

where m is the mass of the car, v is the velocity of the car, and K is the kinetic energy,

Substituting the known values,

Thus, the kinetic energy of the car is 73083.42 J or 73.08 kJ.