A 3874-kg rollercoaster is brought to the top of a 42m hill in 40 seconds,then drops 28m before the next hill.
a) how much work is required to get the coaster to the top of the first hill?
b) what power is required to bring the train to the top of the first hill?
c) how much pe is lost when the coaster drops?
d) how much pe is left at the bottom?

The time required to take off is 26.84 s

SOLVING THE EQUATION :

First of all, we can find the velocity at which the plane takes off, using the equation :

                    v ²-- u² = 2ad

where

v is the take-off velocity

u = 0 is the initial velocity

a is the acceleration

d = 1800 m is the distance covered

Solving for v,

                            v = √2ad

                               = √2(5)(1800)

                              =  134.3 m/s

The time needed to reach this velocity can be found by using

                                          v = u+at

And solving for t,

  \(t = \frac{v-u}{a} \\\\ = \frac{134.2-0}{5}\)

  = 26.84 s

Time needed to take off is = 26.84 s

An interesting scenario when describing the kinematic of a body (or system of bodies) is its motion under constant acceleration. Quantitative calculations for this type of motion require the use of kinematic equations, which relate the quantities that describe the motion of the body. the acceptable kinematic equation to be used depends on whatever motion quantities are given in the problem

Learn more about kinematics :

brainly.com/question/24783036

#SPJ4

Answer:

Eye function renders you the sense of sight. They convert light into electrical signals. Afterwards, the brain deciphers these electrical signals into images. Properly working healthy eyes are able to perform the following functions.

Explanation:

Given:

distance of observer from the sound source, \(s=70~m\)

distance between the source of image information sender and the receiver, \(d=45~miles=72420.48~m\)

Assumptions:

speed of sound, \(v=343~m/s\)

speed of the image information being sent, \(c=3\times 10^8~m/s\) (we assume it to be nearly the speed of light in vacuum)

Solution:

Time taken by the sound to reach the observer:

\(time=\frac{distance}{speed}\)

\(time=70\div 343\)

\(time \approx 0.2~s\)

Time taken by the image to reach the destination:

\(time=\frac{72420.48}{3\times 10^8}\)

\(time=2.4\times 10^{-4}~s\)

Answer:

how was the third law of motion discovered

Explanation:

Isaac Newton discovered this law by exerting pressure on one object against another. The first object's force is felt and equally replicated by the second body. Thus, Isaac Newton proved that it's impossible to exert pressure on a single object without a similar reaction from the second object.

Answer:

your getting in the water causes it to make a giant wave

Explanation:

Answer:

no

Explanation:

ans should be correct

Answer:Magnitude of the car's acceleration is 3.5 m/s²

Given:

Mass of car = 1,000 kg

Net force applied by car = 3,500 N

Find:

Magnitude of the car's acceleration

Computation:

Net force = Mass × Acceleration

So,

3,500 = 1,000 × Acceleration

Acceleration = 3,500 / 1,000

Acceleration = 3.5 m/s²

Explanation:Learn more:

brainly.com/question/12550364?referrer=searchResults

Conservation of momentum

Pix = Pfx

m1= Archer's mass = 102.3 kg

v1 = Archer's velocity =

m2 = arrow's mass = 99g = 0.099 kg

v2f= arrow's velocity = 104.2 m/s

0= m1 v1 + m2 v2

V1= -( m2/m1) v2

V1 = - (0.099 kg /102.3 kg) *104.2 m/s

V1= - 0.1008 m/s

Answer:

d

Explanation:

im pretty sure. just makes the best sense. If im wrong im very sorry.

Answer:

D

Explanation:

because its right

I agree with the application of such offenses where criminal responsibility is imposed on strict liability offenses because it is needed to protect public welfare, promote safety, and deter potential harm.

Strict liability offenses are those in which liability is imposed without requiring proof of intent or guilty mind. These offenses focus on the act itself rather than the mental state of the offender. The rationale behind strict liability offenses is often rooted in the need to protect public welfare, promote safety, and deter potential harm.

An argument in favor of strict liability offenses is that they ensure accountability for certain actions that pose a significant risk to society, even in the absence of intent or mens rea. By placing the burden on individuals to adhere to certain standards or regulations, strict liability offenses can help prevent accidents, protect public health, and maintain order.

Learn more about strict liability offenses at: https://brainly.com/question/13612859

#SPJ4

The acceleration due to gravity is given as:

                             g = GM/r²

According to Newton's second law of motion,

F = ma

where,

F = force

m = mass

a = acceleration

According to Newton's law of gravity,

Fg = GMm/(r + h)²

Fg = gravitational force

From Newton's second law of motion,

Fg = ma

a = Fg/m

We can refer to "a" as "g"

a = g = GMm/(m)(r + h)²

g = GM/(r + h)²

When the object is on or close to the surface, the value of g is constant and height has no considerable impact. Hence, it can be written as,

g = GM/r²

Learn more about gravitational acceleration here:

https://brainly.com/question/2142879

#SPJ4

The gravitational force is given as:

Plugging the values given we have:

Therefore the answer is B.

A football player kicks a football off a tee with a speed of 21 m/s at an angle of 51°, then the horizontal component of the velocity would be 15.58 m/s and the vertical component of the velocity would be 14.07 m/s.

It can be defined as the motion of any object or body when thrown from the earth's surface and follows any curved path under the effect of the gravitational force of the earth.

The horizontal component of the velocity = 21 × cos51 = 15.58 m/s

The vertical component of the velocity = 21 × sin51 = 14.07 m/s

Thus, the horizontal component of the velocity would be 15.58 m/s and the vertical component of the velocity would be 14.07 m/s.

Learn more about projectile motion here, refer to the link ;

brainly.com/question/11049671

#SPJ1

Answer:

HOPEFULLY i am correct but i say its D. Hopefully I helped!✨

Answer: It can be A or B

Explanation: In physics, motion is the phenomenon in which an object changes its position over time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed, and time.

In Exercise 5, the bubble of gas seen at the top of the inverted tube would be greatest in no. 3 tube.

Gas bubbles are formed by flashing dissolved gas into the produced water. Bubbles are much smaller (10 to 100 microns) than for dispersed gas flotation (100 to 1000 microns). Gas volumes are limited by the solubility of the gas in water and are much lower than for dispersed gas flotation.

The dissolved gas breaks out of the oily water solution when the water pressure is flashed (reduced) to the low operating pressure of the flotation unit, in small-diameter bubbles that contact the oil droplets in the water and bring them to the surface in froth.

Learn more about gas bubbles

https://brainly.com/question/24472791

#SPJ4

The weight of the imaginary column of air that "rests" on Elaine's hat is approximately 1588.75 Newtons.

The weight of the imaginary column of air that "rests" on Elaine's hat can be determined using the formula:

Weight = Pressure × Area

First, let's find the area of the hat. The diameter of the hat is given as 45 cm. The formula for the area of a circle is:

Area = π × (radius)²

To find the radius, we divide the diameter by 2:

Radius = 45 cm / 2 = 22.5 cm

Now we can calculate the area:

Area = π × (22.5 cm)²

Area = π × (506.25 cm²)

Next, we need to convert the area to square meters, as the SI unit for pressure is Pascal (Pa), which is equal to 1 N/m²:

Area = π × (506.25 cm²) × (0.01 m / 1 cm)²

Area = π × (506.25 cm²) × (0.0001 m² / 1 cm²)

Area = π × (506.25 cm²) × (0.0001 m² / 0.0001 cm²)

Area = π × (506.25 cm²) × (1 m²)

Area = π × (506.25 cm²) m²

Now we can calculate the weight using the atmospheric pressure, which is given as 1.0 atm:

Weight = (1.0 atm) × (π × (506.25 cm²) m²)

Weight = (1.0 atm) × (π × (506.25 cm²) m²)

Weight = 1.0 atm × (π × 506.25) N

Weight ≈ 1.0 atm × 1588.75 N

Weight ≈ 1588.75 N

Therefore, the weight of the imaginary column of air that "rests" on Elaine's hat is approximately 1588.75 Newtons.

To more about Newtons visit:

https://brainly.com/question/4128948

#SPJ11

The PR interval in an electrocardiogram (ECG) represents the time it takes for the electrical impulse to travel from the atria (depicted by the P wave) to the ventricles. It begins at the first sign of the P wave and ends at the first sign of the next deflection, which is called the QRS complex.

The QRS complex represents the depolarization of the ventricles, which results in ventricular contraction and the pumping of blood out of the heart. It consists of three main deflections: Q, R, and S waves.

The Q wave is the first downward deflection after the P wave, the R wave is the first upward deflection after the Q wave, and the S wave is the second downward deflection following the R wave.

The PR interval is important in assessing the conduction time through the atrioventricular (AV) node, which connects the atria and ventricles. Abnormalities in the PR interval can indicate conduction abnormalities or disturbances in the electrical pathways of the heart.

In summary, the PR interval in an ECG begins at the first sign of the P wave and ends at the first sign of the QRS complex, which represents the depolarization of the ventricles.

Learn more about electrocardiogram from the given link

https://brainly.com/question/24322125

#SPJ11

Answer: C, making the parts slippery

Explanation: I chose d and it said it was wrong so I chose C and it was right lol

Answer:

Explanation:

Given:

P = 12 W

R = 270 Ω

t = 2.5 s

____________

Q - ?

Power:

P = I²·R

Current strength:

I = √ (P / R) = √ (12 / 270) ≈ 0.21 A

Charge:

Q = I·t = 0.21·2.5 = 0,525 C

Answer:

Work = F * S      force * distance

Power = Work / Time = F * S / t

Velocity = distance / time = S / t = v

Power = F * v

P = 685 N * (11 m / 8.75 s)

P = 685 N * 1.26 m/s = 861 Joules / sec = 861 Watts

(Note 1 Watt = 1 Joule / sec

Answer:

v = 1.5 m/s

Explanation:

m = 85 kg

p = 125 kg m/s

v = ?

p = m v

125 kg m/s = (85 kg) (v)

v = (125 kg m/s) / (85 kg)

v = 1.47 m/s

Answer:

k=694.44

Explanation:

PE=1/2kx^2

5=1/2k*.12^2

5=1/2k(.0144)

divide both sides by .0144

ita called hematopoiesis

Answer:

Voltage V = 117.65 volts

the voltage across the light bulb's filament is 117.65 V

Explanation:

The power of a light bulb can be expressed with respect to voltage and current flow.

Power = voltage × current

P = VI

Making Voltage V the subject of formula;

V = P/I

Given;

Power P = 4.0W

Current I = 0.034A

Substituting the given values;

V = 4/0.034

V = 117.65 volts

If moving with a constant velocity, the position-time graph is a straight line with a constant slope.

What is a position time graph?

A position-time graph, also known as a displacement-time graph or distance-time graph, is a visual representation of the relationship between an object's position and time. In this type of graph, the position of an object is plotted on the vertical y-axis, while the time is plotted on the horizontal x-axis.

The position of the object at a specific time is shown by a point on the graph. Connecting these points results in a line that represents the object's motion over time. The slope of this line can provide information about the object's velocity or speed.

Position-time graphs are commonly used in physics to study the motion of objects, such as in the analysis of freefall, projectile motion, and uniform circular motion. By examining changes in position over time, scientists can calculate acceleration, displacement, and other important characteristics of an object's motion.

Therefore,If moving with a constant velocity, the position-time graph is a straight line with a constant slope.

To learn more about position time graph from the given link:

https://brainly.com/question/25225415

#SPJ1

If you are moving with an accelerating velocity in Activity 1-1, then your position-time graph will be curved instead of linear.

Velocity is a vector quantity that measures the rate of change of an object's position. It is the rate at which an object's position changes over time and is usually expressed in terms of meters per second. Velocity can be calculated by taking the displacement of an object divided by the time it took for that displacement to occur. Velocity can also be expressed in terms of speed and direction, as it has both magnitude and direction. Velocity can be further defined as the rate at which an object's momentum changes. Momentum is the product of an object's mass and its velocity. In addition, velocity is important for understanding the physics of motion, as it is related to acceleration, which is a measure of how quickly an object's velocity changes.

The curve will be increasing at a steeper and steeper rate, indicating that your velocity is increasing.

To learn more about velocity
https://brainly.com/question/29523095
#SPJ1

Answer:

a=g.  

the body is in one of these INGRAVIDITY, so the weight of the body would be ZERO

Explanation:

When the spacecraft revolves around the Earth, it is subjected to Newton's second law

          F = m a

where the force is the universal attractive force, the mass of the astronauts, and the centripetal acceleration.

         a = F / m

         a = (G M m / r²) / m

         a = G M / r²

the amount of is the acceleration of gravity at height r.

         a = g

Therefore, we see that the acceleration of the body is equal to the acceleration of gravity, which is why the body is in one of these INGRAVIDITY, so the weight of the body would be ZERO

The scalar components R and R₂ of the force R along the nonrectangular axes a and b are determined using given information. The orthogonal projection Pa of R onto axis a is also calculated.

Given information:

Magnitude of force R = 810 N

Angle between R and axis a = 117°

Angle between R and axis b = 25°

To find the scalar components R and R₂, we can use trigonometry. Let's denote the angle between R and the x-axis as θ. We can express R in terms of its components as follows:

R = R₁ + R₂

Where R₁ is the component of R along axis a, and R₂ is the component of R along axis b.

Using trigonometry, we can determine the values of R₁ and R₂ as follows:

R₁ = R cos(θ)

R₂ = R sin(θ)

To find the angle θ, we subtract the given angles between R and axes a and b from 90° (since axis a and b are nonrectangular):

θ = 90° - 117° = -27°

Now we can calculate R₁ and R₂ using the given magnitude of R and the calculated angle θ:

R₁ = 810 N cos(-27°)

R₂ = 810 N sin(-27°)

Finally, to determine the orthogonal projection Pa of R onto axis a, we use the formula:

Pa = R₁ = 810 N cos(-27°)

Substituting the values into the equations, we can calculate the numerical values of R₁, R₂, and Pa.

To learn more about force refer:

https://brainly.com/question/12970081

#SPJ11

The forces that act on the block that is at rest on the slope are:

A force is an effect that can alter an object's motion according to physics. 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.

A force that holds an object at rest is called static friction. The definition of static friction is: The resistance people feel when they attempt to move a stationary object across a surface without actually causing any relative motion between their body and the surface they are moving the object across.

A contact force is a normal force. A normal force cannot be applied to two surfaces that are not in contact.

Read more on force here:https://brainly.com/question/388851

#SPJ1

question

A block is resting on an slope. (Figure 3) Which of the following forces act on the block?

Check all that apply.

weight

static friction

normal force

kinetic friction

The capacitance of two identical capacitors connected in parallel is double that of one of the capacitors because the equivalent capacitance of two capacitors in parallel is equal to the sum of the individual capacitances.

Therefore, when two identical capacitors are connected in parallel, the total capacitance is twice that of one of the capacitors.

The capacitance of two identical capacitors connected in parallel is equal to the sum of the capacitances of the two individual capacitors. In other words, the capacitance of two capacitors connected in parallel is double the capacitance of one of the capacitors.

Explanation: Capacitance is the amount of electrical charge stored per unit of voltage applied to a conductor. When two capacitors are connected in parallel, the two plates of each capacitor become connected, creating a single plate with twice the area of a single capacitor. This means that the capacitance of two identical capacitors connected in parallel is double the capacitance of one of the capacitors.

Formula: The formula for the capacitance of two capacitors in parallel is given by: Ctotal = C1 + C2, where Ctotal is the total capacitance of the two capacitors connected in parallel and C1 and C2 are the capacitances of the two individual capacitors.

Example: if the capacitance of one capacitor is 10μF, then the total capacitance of two capacitors connected in parallel is 20μF.

For more related questions capacitance.

https://brainly.com/question/28445252

#SPJ11