190) a small car and an suv are at a stoplight. the car has a mass equal to half that of the suv, and the 190) suv's engine can produce a maximum force equal to twice that of the car. when the light turns green, both drivers floor it at the same time. which vehicle pulls ahead of the other vehicle after a few seconds?

Answers

Answer 1

Given the

Half the weight of an SUV

If the mass of the SUV is 2m, the mass of the car is m

An SUV can produce twice as much power as a car, or 2 F.

Experience acceleration in an SUV

;SUV=2F/2m

;SUV=F/m

car acceleration

; car = F/m

They both start with an initial velocity of zero, so after a few seconds they have the same velocity and share the same position.

speed-

Velocity is a vector representation of the displacement an object or particle experiences with respect to time. The standard unit for velocity magnitude (also called velocity) is meters per second (m/s). Alternatively, centimeters per second (cm/s) can be used to express velocity magnitude. The direction of the velocity vector can be expressed in different ways depending on the number of dimensions involved. speed

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Related Questions

A car is moving at 20 m/s when the driver sees a stop sign and comes to rest at 65m. How long does the car take to come to rest?

Answers

65/20 = 3.25 seconds.

consider the following statement: "if you connect another resistor to an existing network of resistors, the total equivalent resistance will decrease." is this true?

Answers

When you connect another resistor to an existing network of resistors, the total equivalent resistance may not necessarily decrease. It depends on the values of the new and existing resistors, as well as the arrangement of the network.

In a series circuit, where resistors are connected in a line, the total equivalent resistance increases as more resistors are added. This is because the current must flow through each resistor, and the total resistance is the sum of all the individual resistances. Therefore, adding another resistor increases the total resistance and decreases the current flow.

In a parallel circuit, where resistors are connected side-by-side, the total equivalent resistance decreases as more resistors are added. This is because each resistor provides a new path for current flow, reducing the total resistance and increasing the current flow.

Overall, it is important to consider the type of circuit and the values of the resistors when determining the effect of adding a new resistor to an existing network. The statement "if you connect another resistor to an existing network of resistors, the total equivalent resistance will decrease" is not always true and requires further analysis.

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How much work is done by the force of gravity went 45 n object falls to the ground from a height of 4.6m?

Answers

The work W exerted over an object by a force F along a distance d is:

\(W=Fd\)

Substitute F=45N and d=4.6m to find the work done by the force of gravity on the falling object:

\(W=(45N)(4.6m)=207J\)

Therefore, the work done by the force of gravity when a 45N object falls a distance of 4.6m, is:

\(207J\)

Darth Maul has once again parked his sith Speeder on a slope of the desert planet Tatooine. Unfortunately, he once again forgot to apply the parking brakel (DoutbL DOHI) Today, though ... the sand dunejglope isn't fust a simple frictioniess surface. The coetfient of kinetic friction (F
k

) is 0.08 between the Sith Speeder and the sand. The acceleration due to gravity on Tatooine is 7.0 m/sec
2
. The sith speeder has mass m=890 kg, and the sand dune is tited at an angle θ : = 25.0 to the horizontal, (a) Determine the acceleration of the Sith Speeder as it slides down this inclined plane of sand. (You can assume that it will indeed start moviagi) m/s
2
(down the plane) (b) If the 5 ith Speeder starts from rest 100.0 m up the ptase from its base (i.e: as measured along the plane of the sand dune), what will the speed of it be when it reachns the bottem of the incline? m/s. (c) If, at the bottom of the inclitied plane, the sith Speeder smoothly transitions to level ground wi. with what speed would it be moving after traveling another 170 m across the sand? m/sec (d) After traveling across the fevel sand for the 170 m, is reaches a eliff (OH NOI) with a height 1280 m. Assume the 5 ith 5 peeder launches exactil horizontal from the cilf with a saeed equal to your answer to part(c), how long will it take for it to land at the bottom of the cliff? sec (e) How far away from the base of the cliff will it have traveled?

Answers

These values are derived using the given parameters such as mass, gravitational acceleration, coefficients of friction, initial  velocity, distance, and height, along with relevant equations of motion and principles of physics.

a) The acceleration of the Sith Speeder is 6.292 m/s².

b) The final velocity of the Sith Speeder at the bottom of the incline is approximately 35.47 m/s.

c) The final velocity of the Sith Speeder after traveling 170 m on the level ground is approximately 5.96 m/s.

d) The time taken by the Sith Speeder to reach the ground from a height of 1280 m is approximately 29.94 s.

e) The distance covered by the Speeder on the ground before taking off from the cliff is approximately 178.82 m.

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used to accurately measure the volume of solutions when adding a solid to be dissolved

Answers

To make the solute dissolve, thoroughly mix and add a little quantity of solvent after transferring the solute to a container

What is a solute?

A solute is a material dissolved in another substance known as a solvent in a homogeneous mixture made of two or more components.

A solute's concentration in a solution is a measure of how much of that solute is dissolved in the solvent and the amount of solvent present, such as salt. Solutes are the best cleaning agents and additives.

Add a little quantity of solvent after transferring the solute to a container ideally a volumetric flask,

Which most precisely measures the volume of the solution indicated on the flask. To make the solute dissolve, thoroughly mix.

Hence the above process should be followed to dissolve, and thoroughly mix.

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When a plane minor is placed horizontally on level ground at a distance of om from the foot of tower
the top of the tower and its image in the mirror subtend an angle of 90" at the eye. The height of the tower
a) 30m
b) 60m
c) 90 m
d) 120m

Answers

Answer:

b : 60m

Explanation:

when a plane mirror is placed horizontally on a level ground at a distance of 60m from the top of tower as shown in figure. a/c to question, The top of tower and its image in the mirror subtend an angle of 90° at the eyes. so, angle made by top of tower and horizontal line is 45° as

if a wave has a frequency of 1300 hertz and a of 0.58 m, what is the velocity of the
wave?

Answers

The velocity of a wave with a frequency of 1300 hertz and a wavelength of 0.58 m is 754 meters per second.

The formula for calculating the velocity of a wave is v = fλ, where v is the velocity, f is the frequency, and λ is the wavelength. Substituting the given values into the formula, we have:

v = 1300 hertz x 0.58 m

v = 754 meters per second

Therefore, the velocity of the wave is 754 meters per second. This means that the wave will travel 754 meters in one second.

The velocity of a wave is affected by the medium through which it is traveling. In a vacuum, all electromagnetic waves (including light) have a speed of approximately 299,792,458 meters per second, which is the speed of light.

However, in other mediums such as air, water, or solids, the velocity of a wave will be slower due to the interaction between the wave and the medium.

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How does monkeys make babys?

Answers

Same as humans................

When the north pole is tilted toward the sun, which area has the fewest hours of daylight?.

Answers

Answer:

The earth revolves around the sun in a plane called the ecliptic.

The poles of the earth are at an angle of about 23.5 deg from the ecliptic.

If the north pole is tilted at 23,5 deg towards a perpendicular to this plane (ecliptic) the south pole will be tilted at 23.5 deg away from this plane and will receive the least amount of sunshine.

This is called the summer solstice in the northern hemisphere. and occurs around June 21.

From a penalty kick, the ball rebounds off the goalkeeper back to the player who took the kick. That player then kicks the ball into the goal. What is the correct restart

Answers

The correct restart is for there to be another kick off taken in this type of scenario.

What is Kick-off in Soccer?

This is a method of restarting play in which the ball is put on the center circle and passed by a player.

Kick offs occur at the beginning of any halves or when a goal is scored during the match which is why it's the most appropriate choice.

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Answer:Kick offs occur at the beginning of any halves or when a goal is scored during the match which is why it's the most appropriate choice.

Explanation:

When the two objects come in contact, which choice most accurately describes the behavior of electric charges?


Some protons move from the positively charged object to the neutral object. The neutral object becomes positively charged. The object that was initially charged becomes neutral.


Some protons move from the positively charged object to the neutral object. Both objects become positively charged, but the object that started positively charged is less positively charged than it was initially.


Some electrons move from the neutral object to the positively charged object. Both objects become positively charged, but the object that started positively charged is less positively charged than it was initially.


Some electrons move from the neutral object to the positively charged object. The neutral object becomes positively charged. The object that was initially charged becomes neutral.

Answers

Answer:

Some electrons move from the neutral object to the positively charged object. Both objects become positively charged, but the object that started positively charged is less positively charged than it was initially.

Explanation:

This is because since protons do not move from the nucleus, but, electrons on the surface move, the electrons from the neutral object move to the positively charged object until there is no net movement of electrons between both objects. At this point, both objects carry the same charge and the positively charged object becomes less positively than it was initially.

what is electricity???????​

Answers

Explanation:

Electricity is defined as the rate of flow of charges in a conductor.

hope it helps.stay safe healthy and happy...

Answer:

Electricity is the presence and flow of electric charge. Using electricity we can transfer energy in ways that allow us to do simple chores . it's best - known form is the flow of electrons through conductor such as copper wires. The world "electricity " is sometimes used to mean "electrical energy "

Explanation:

hope it is helpful to you

\(kavya\)

Under Problems, who can help me with 1-3? Thank you!!!!

Under Problems, who can help me with 1-3? Thank you!!!!

Answers

The current, voltages, resistances of the circuits in problem 1, 2, and 3 are given by Ohm's law as follows;

Questions 1—3 In Problems

The resistance of the hair dryer is 12 OhmsThe current in the light bulb circuit is 0.75 AThe voltage of the battery is 12 Volts

What is Ohms law?

Ohm's law states that the current, I in a circuit or between two points in a circuit is proportional to the voltage, V, across the circuit or the part of the circuit.

Mathematically, V = I × R

Where;

R = The circuit resistance to current

1. The current in the hair dryer draws from the circuit = 10–A

The voltage of the circuit to which the hair dryer is connected = 120–V

From Ohm's law, we have;

V = I•R

R = V/I

I = 10 A

V = 120 V

Therefore;

R = 120 V/(10 A) = 12 Ohms

The hair dryer resistance is R = 12 Ohms

2. The battery resistance = 2 Ohms

The voltage of the battery = 1.5–V

The current in the circuit is therefore found as follows;

R = 2 Ohm

V = 1.5 V

The current, I = V/R

Therefore;

I = (1.5 V)/(2 Ohms) = 0.75 A

The current in the circuit is I = 0.75 A

3. The current supplies by the battery, I = 0.25 A

The battery resistance, R = 48 Ohm

The voltage of the battery, V = I × R

Therefore;

V = 0.25 A × 48 Ohm = 12 V

The voltage of the battery, V = 12 V

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according to the second law of thermodynamics what property do natural processes tend to increase

Answers

Answer:Entropy can be thought of as a measure of the dispersal of energy. It measures how much energy has been dispersed in a process. The flow of any energy is always from high to low. Hence, entropy always tends to increase.

Explanation:

emmerging trends on microcomputer technology in relation to size

Answers

Microcomputer words typically have a length of 8 to 32 bits.

Do microcomputers have a small size?

Microcomputers are compact, reasonably priced computers. The central processing unit (CPU), input unit, output unit, and storage unit are all components of these computers. The CPU is housed on a single semiconductor chip in microcomputers. Microcomputers are multipurpose computers made for people.

What is the architecture of a microprocessor's size?

Nowadays, 32-bit (x86) and 64-bit CPU architectures are the two most common types (x86-64, IA64, and AMD64). The CPU can operate with different datapath widths, integer sizes, and memory address widths depending on the architecture.

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What is the difference between zone coverage and man coverage, and how can the offense team read those coverages?

Answers

Answer:

zone coverage is about sensing what the offense is attempting to accomplish against the defense. Each defensive player reacts when the ball is in the air, whereas in man-to-man coverage, he simply plays the receiver.

Explanation:

Select the correct answer.
Which of these statements is true about heat?

A.heat always flows from cooler to warmer substances

B.heat doesn’t flow between substances

C.heat always flows from warmer so cooler substances

D.heat flows when both substances have the same temperature

Answers

Answer:

The correct answer is C. Heat always moves from warm to cool, and cold can not move.

Explanation:

the answer would be C

A sound wave has a frequency of 250 Hz and a wavelength of 1.3 m. Calculate the speed of this waves.

Answers

Answer:

325 m/s

Explanation:

Frequency of the wave = 250 Hz

wavelength of the wave = 1.3 m

From the wave formula;

v = λf

v = wave speed

λ = wavelength

f= frequency

v = 250 * 1.3 = 325 m/s

The wave above has a wavelength of 6.25 meters and a frequency of 5 hertz. Calculate the speed.

Answers

Answer:

Wave Speed (m/s)

31.25

Summary

Wavelength (m)6.25

Frequency (hz)5

Explanation:

https://calculator.academy/wave-speed-calculator/#f1p1

4. What is found in the C horizon of a soil profile?
A. Partially weathered rock
B.the subsoil layer
C. topsoil
D. Mostly humus and litter

Answers

Rock that has partially weathered can be found in a soil profile's C horizon.

What exactly do soil horizons mean?

horizon: an unique layer of soil that is roughly parallel to the land surface and whose characteristics are the result of the interactions between living things and percolating water. The topsoil, for instance, is referred to as the A horizon, while the subsoil B horizons are the name given to horizons.

What is horizon level?

"Eye level" and "horizon line" are frequently used interchangeably. The term "horizon line" or "eye level" refers to a physical/visual line dividing sky from land or sea. Whether viewing an object, an interior scene, or an external scene, it refers to the real height of the viewer's eyes.

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How are the schools in Uganda and Minneapolis alike? Select TWO choices. *

1 point

a. Ms. Perry teaches in both.

b. Neither has enough textbooks.

c. Neither has a large enough room.

d. Ms. Perry has a book sale in both.

e. Both have desks for every student.

f. Both are places where students learn

Answers

The schools in Uganda and Minneapolis are similar because both are places where students learn and neither has a large enough room.

Similarities between schools in Uganda and Minneapolis

Due to poor economic conditions and management, the schools of Uganda and Minneapolis have small rooms in which students sit to learn. Both are the places where students comes to learn and make better their economic condition so we can conclude that option C and F are correct.

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Can light phenomena be better explained by a transverse wave model or by a longitudinal wave model? A) Because light can undergo refraction, the light is better described as a longitudinal wave, since only transverse waves are refracted. B) Because light exhibits the characteristics of polarization, it is better described as a transverse wave, since only transverse waves exhibit polarization. C) Because light can undergo reflection, the light is better described as a transverse wave, since only transverse waves are reflected by a surface. D) Because light is an electromagnetic wave, it is better described as a longitudinal wave, since electromagnetic waves propagate at the speed of light

Answers

Light phenomena can be better explained by a transverse wave model because light exhibits the characteristics of polarization, it is better described as a transverse wave, since only transverse waves exhibit polarization (option B).

Light is an electromagnetic wave that is made up of both electrical and magnetic fields oscillating perpendicular to each other. These waves travel in the form of transverse waves with an oscillation plane that is perpendicular to the direction of the wave's travel.

Light is always polarized, which means that the oscillations of its electric field are all in the same direction. The phenomenon of polarization can be explained in a transverse wave model, since only transverse waves can be polarized. The polarization of light is used in a variety of applications, including glare-reducing sunglasses, three-dimensional cinema, and some microscopes. Because light is an electromagnetic wave, it travels at the speed of light.

However, if light were a longitudinal wave, it would be unable to exhibit the polarization phenomenon, and therefore option D) Because light is an electromagnetic wave, it is better described as a longitudinal wave, since electromagnetic waves propagate at the speed of light is incorrect.

Option A) Because light can undergo refraction, the light is better described as a longitudinal wave, since only transverse waves are refracted and Option C) Because light can undergo reflection, the light is better described as a transverse wave, since only transverse waves are reflected by a surface are also incorrect.

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you are using a 50-mm-focal-length lens to photograph a tree. if you change to a 100-mm-focal-length lens and refocus, the image height on the detector changes by a factor of

Answers

The image height on the detector will change by a factor of 2 if you change from a 50-mm-focal-length lens to a 100-mm-focal-length lens and refocus.

The magnification of a lens is given by the ratio of the image height to the object height. Since the object height remains the same, the change in magnification is solely determined by the change in focal length.

The magnification of a lens is given by the formula:

Magnification = - (image distance / object distance).

Since we are only interested in the ratio of image heights, we can ignore the negative sign.

For the 50-mm lens, the magnification is:

Magnification1 = 50 mm / object distance.

For the 100-mm lens, the magnification is:

Magnification2 = 100 mm / object distance.

Taking the ratio of the two magnifications:

Magnification2 / Magnification1 = (100 mm / object distance) / (50 mm / object distance) = 100 mm / 50 mm = 2.

Therefore, the image height on the detector changes by a factor of 2 when switching from a 50-mm-focal-length lens to a 100-mm-focal-length lens and refocusing.

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How much of a 1500. mg sample of potassium-42 is left after 48 hours if its half-life is 12.4hours?

Answers

Given data

*The initial quantity of potassium-42 is 1500 mg

*The given time is t = 48 hours

*The half-life of Potassium - 42 is T = 12.4 hours

The expression for the radioactive decay is given as

\(A(t)=A_0(\frac{1}{2})^{\frac{t}{T_{}_{}_{}}}\)

Substitute the values in the above expression as

\(\begin{gathered} A(48)=1500(\frac{1}{2})^{\frac{48}{12.4}} \\ =102.59\text{ mg} \end{gathered}\)

The radial part of a hydrogen 2p wave function is given R2p (r) = 1/√24 (1/a0)^3/2 r/a0 e^-r/2a0 a. [3p] Locate the maximum of the radial wave function b. [3p] Locate the maximum of the radial electron density distribution.
c. [4p] What is the average distance between the electron and the nucleus? Use the math sheet to calculate the expectation value for the distance between electron and nucleus! Note: you must show all work and can express your answers in atomic units (then these are simple numbers). Remember that factors such as normalization constants are not important to determine maxima.

Answers

The radial part of a hydrogen 2p wave function is given R2p (r) = 1/√24 (1/a0)^3/2 r/a0 e^-r/2a0.(a) the maximum of the radial wave function R2p(r) occurs at r = 2a0.(b)the maximum of the radial electron density distribution occurs at r = 2a0.(c) the average distance between the electron and the nucleus is ⟨r⟩ = a0^2 / 4, where a0 represents the Bohr radius.

(a)To locate the maximum of the radial wave function, we need to find the value of r at which R2p(r) is maximum. Let's differentiate the radial wave function with respect to r and set it equal to zero to find the maximum:

dR2p(r) / dr = 1/√24 (1/a0)^3/2 (1/a0) e^(-r/2a0) - 1/√24 (1/a0)^3/2 (1/2a0) r/a0 e^(-r/2a0) = 0

Simplifying the equation:

e^(-r/2a0) - (1/2a0) r/a0 e^(-r/2a0) = 0

Factoring out e^(-r/2a0):

e^(-r/2a0) (1 - (1/2a0) r/a0) = 0

For e^(-r/2a0) ≠ 0, we have:

1 - (1/2a0) r/a0 = 0

Solving for r:

(1/2a0) r/a0 = 1

r/a0 = 2

Therefore, the maximum of the radial wave function R2p(r) occurs at r = 2a0.

(b)To locate the maximum of the radial electron density distribution, we need to square the radial wave function, |R2p(r)|^2:

|R2p(r)|^2 = (1/√24)^2 (1/a0)^3 (r/a0)^2 e^(-r/a0)

To find the maximum, we can differentiate |R2p(r)|^2 with respect to r and set it equal to zero:

d|R2p(r)|^2 / dr = (1/√24)^2 (1/a0)^3 (2r/a0) e^(-r/a0) - (1/√24)^2 (1/a0)^3 (r/a0)^2 e^(-r/a0) = 0

Simplifying the equation:

2r/a0 - (r/a0)^2 = 0

r/a0 (2 - r/a0) = 0

For r/a0 ≠ 0, we have:

2 - r/a0 = 0

r/a0 = 2

Therefore, the maximum of the radial electron density distribution occurs at r = 2a0.

(c)To calculate the average distance between the electron and the nucleus, we need to find the expectation value for the distance between the electron and the nucleus. The expectation value is given by:

⟨r⟩ = ∫ r |R2p(r)|^2 dr

Integrating from 0 to ∞:

⟨r⟩ = ∫₀^∞ r (1/√24)^2 (1/a0)^3 (r/a0)^2 e^(-r/a0) dr

Simplifying the constants:

⟨r⟩ = (1/24) (1/a0)^3 ∫₀^∞ r^3 e^(-r/a0) dr

This integral can be solved using integration by parts. Let's denote u = r^3 and dv = e^(-r/a0) dr, then we can find du and v:

du = 3r^2 dr

v = -a0 e^(-r/a0)

Applying integration by parts:

⟨r⟩ = (1/24) (1/a0)^3 [(-r^3 a0 e^(-r/a0))|₀^∞ + ∫₀^∞ 3r^2 a0 e^(-r/a0) dr]

The first term in brackets evaluates to zero since e^(-∞/a0) = 0 and e^(0/a0) = 1:

⟨r⟩ = (1/24) (1/a0)^3 ∫₀^∞ 3r^2 a0 e^(-r/a0) dr

Simplifying the expression:

⟨r⟩ = (1/8) (1/a0) ∫₀^∞ r^2 e^(-r/a0) dr

Now, we can solve this integral using integration by parts again. Let's denote u = r^2 and dv = e^(-r/a0) dr:

du = 2r dr

v = -a0 e^(-r/a0)

Applying integration by parts:

⟨r⟩ = (1/8) (1/a0) [(r^2 (-a0 e^(-r/a0)))|₀^∞ + ∫₀^∞ 2r (-a0 e^(-r/a0)) dr]

The first term in brackets evaluates to zero:

⟨r⟩ = (1/8) (1/a0) ∫₀^∞ 2r (-a0 e^(-r/a0)) dr

Simplifying further:

⟨r⟩ = -(1/4) ∫₀^∞ r e^(-r/a0) dr

This integral can be solved by a change of variables. Let's substitute u = r/a0, then dr = a0 du:

⟨r⟩ = -(1/4) ∫₀^∞ (a0u) e^(-u) a0 du

⟨r⟩ = -(1/4) a0^2 ∫₀^∞ u e^(-u) du

Integrating by parts one more time, let's denote u = u and dv = e^(-u) du:

du = du

v = -e^(-u)

Applying integration by parts:

⟨r⟩ = -(1/4) a0^2 [(u (-e^(-u)))|₀^∞ - ∫₀^∞ (-e^(-u)) du]

The first term in brackets evaluates to zero:

⟨r⟩ = -(1/4) a0^2 ∫₀^∞ e^(-u) du

Simplifying further:

⟨r⟩ = -(1/4) a0^2 [(-e^(-u))|₀^∞]

Evaluating the expression at the limits:

⟨r⟩ = -(1/4) a0^2 [-(e^(-∞)) + e^(0)]

Since e^(-∞) approaches zero, we have:

⟨r⟩ = -(1/4) a0^2 [0 + 1]

⟨r⟩ = a0^2 / 4

Therefore, the average distance between the electron and the nucleus is ⟨r⟩ = a0^2 / 4, where a0 represents the Bohr radius.

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A student is driving her car when an insect strikes her windshield. Which of the following statements best describes the forces in this situation?

The insect strikes the windshield with the same force as the windshield strikes the insect.

The insect strikes the windshield with a force, and the windshield exerts no force on the insect.

The insects exerts no force on the windshield, and the windshield strikes the insect with a large force.

The insect strikes the windshield with a small force, and the windshield stikes the insect with a large force.

Answers

The statement that best describes the forces in this situation is "The insect strikes the windshield with a force, and the windshield exerts no force on the insect." Option B is correct.

When a student is driving her car, and an insect strikes her windshield, the forces in this situation can be described as follows. The insect strikes the windshield with a force, and the windshield exerts no force on the insect. When an object strikes another object, the force that the first object exerts on the second is equal and opposite to the force that the second object exerts on the first. This is known as Newton's third law of motion.

Therefore, the insect strikes the windshield with the same force as the windshield strikes the insect is an incorrect statement. The other two options are also incorrect because they do not accurately describe the nature of the forces involved in this situation.

Therefore, Option B is correct..

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A dragster is travelling east when the parachute opens and slows the dragster for 4.5 seconds at a rate of 10 m/s2 west. What was the dragster's change in velocity due to the parachute?​

Answers

The dragster's change in velocity due to the parachute can be calculated using the kinematic equation:

Δv = aΔt

where Δv is the change in velocity, a is the acceleration, and Δt is the time interval during which the acceleration occurs. In this case, the dragster is initially travelling east, so its velocity is positive, and the parachute applies a force in the opposite direction, resulting in a negative acceleration.

Given that the acceleration is -10 m/s² (westward) and the time interval is 4.5 seconds, we can calculate the change in velocity as:

Δv = (-10 m/s²) x (4.5 s) = -45 m/s

Therefore, the dragster's change in velocity due to the parachute is -45 m/s (westward). This means that the dragster's velocity is reduced by 45 m/s in the westward direction over the 4.5-second interval during which the parachute is deployed.

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The change in velocity due to the parachute is -45 m/s east

What is velocity ?

Velocity is a vector quantity that describes the speed and direction of motion of an object. In other words, velocity is the rate at which an object changes its position in a specific direction.

Velocity is expressed in units of distance per time, such as meters per second (m/s) or kilometers per hour (km/h)

Velocity is different from speed, which is also a measure of the rate of motion but only describes how fast an object is moving, without taking into account the direction of motion.

we will use the formula :-

change in velocity = acceleration x time

where acceleration is the rate at which the dragster slows down, and time is the duration for which it slows down.

Here, the dragster is travelling east, and the parachute applies a force in the opposite direction (west), causing it to slow down. So, the acceleration is -10 m/s^2 (negative because it's in the opposite direction to the velocity).

The time for which the dragster slows down is 4.5 seconds.

Therefore, the change in velocity due to the parachute is:

change in velocity = acceleration x time

change in velocity = (-10 m/s^2) x (4.5 s)

change in velocity = -45 m/s east

Note that the velocity is negative because the dragster is slowing down, and it's still travelling east (i.e., in the positive direction).

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During anomalous expansion of water ,heat transfer is limited to conduction and radiation only ,explain.​

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Heat transfer is limited to conduction and radiation only in anomalous expansion of water simply because of the temperature at which the expansion occurs and density

What is anomalous expansion of water?

Anomalous expansion of water is a property of water in which water expands instead of contracting.

Anomalous expansion of water makes water less dense. The major effect of this anomalous expansion it will still remain less dense and at the surface of water.Interestingly, this expansion occurs when it is cooled from 4°C to 0°C.

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a 1.6 m diameter solid spgere rotates about an axis through its center by torque of 30.0 m.n which accelerates it uniformly from rest through a total of 400 revolutions in 12.0 secod. what is the mass of the sphere?

Answers

Using the moment of inertia, the mass (m) of the sphere is found to be approximately 6.513 kg.

To find the mass of the sphere, we need to use the formulas for torque and rotational motion.

The formula for torque (τ) is given by:

τ = I × α

Where:

τ = Torque

I = Moment of inertia

α = Angular acceleration

The moment of inertia (I) for a solid sphere rotating about its center is given by:

I = (2/5) × m × r²

Where:

m = Mass of the sphere

r = Radius of the sphere

The formula for angular acceleration (α) is:

α = (ω - ω0) / t

Where:

ω = Final angular velocity

ω0 = Initial angular velocity

t = Time

First, we need to find the final angular velocity (ω) using the given information. We know that the sphere rotates through a total of 400 revolutions in 12.0 seconds. One revolution is equal to 2π radians, so the total angular displacement (θ) is:

θ = 400 revolutions × 2π radians/revolution

θ = 800π radians

The time (t) is given as 12.0 seconds. We can now calculate the final angular velocity:

ω = θ / t

ω = (800π radians) / (12.0 s)

ω ≈ 209.4395 rad/s

Since the sphere starts from rest, the initial angular velocity (ω0) is 0 rad/s. Plugging the values into the formula for angular acceleration:

α = (ω - ω0) / t

α = (209.4395 rad/s - 0 rad/s) / (12.0 s)

α ≈ 17.4533 rad/s²

Now, we can use the formula for torque to find the moment of inertia (I):

τ = I × α

30.0 m·N = I × 17.4533 rad/s²

Since the torque (τ) and angular acceleration (α) are given, we can solve for the moment of inertia (I). Rearranging the equation:

I = τ / α

I = 30.0 m·N / 17.4533 rad/s²

I ≈ 1.7204 kg·m²

Finally, we can use the moment of inertia to find the mass (m) of the sphere:

I = (2/5) × m × r²

1.7204 kg·m² = (2/5) × m × (0.8 m)²

Simplifying the equation:

m = (1.7204 kg·m²) / [(2/5) × (0.8 m)²]

m ≈ 6.513 kg

Therefore, the mass of the sphere is approximately 6.513 kg.

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a 5 kg rock is lifted 3m find amount of work done

a= 98 J

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Answer:

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