In three to five sentences, explain how you would conduct an experiment to investigate the relationship between the applied force and the displacement of the spring, and describe its expected results.

Answers

Answer 1

Hooke's law states that the applied force F equals a constant k times the displacement or change in length x.

What is Hooke's law?

The force necessary to extend or compress a spring by a certain distance scales linearly with respect to that distance, according to Hooke's law, an empirical law in physics.

Hooke's Law is a principle of physics that states that the that the force needed to extend or compress a spring by some distance.

F = K.x

A straight line passing through the origin can be drawn by plotting the spring's stretch versus the weight that has been applied to the hanger. This implies that a spring's extension is inversely proportional to the force used to stretch it.

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Related Questions

a rotor rotating about a fixed axis through its mass center, the rotor has a mass of 60 kg, radius of gyration of 70 mm, and angular acceleration of 9 rad/s2. determine the moment the fixed axis.

Answers

Given

60 kg of mass, 70 mm or 0.07 meters of gyroscopic radius, and 9 rad/sec2 of angular acceleration

Utilized concept

Inertia, It is an object's resistance to any change in motion. The amount of inertia is directly related to an object's mass; in fact, as we frequently observe, the heavier an object is, the harder it is to change its direction of motion.

The moment of inertia must be identified. EM = I > I > MK2

I stands for inertia mass moment.

I = 60 kg/m2 M = I = 0.216 kg/m2 = 11 kg/m2 M = 2.376 nm

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Answer:

Explanation:

Given:

m = 60 kg

R = 70 mm = 0.070 m

ε = 9 rad/s²

__________________

M - ?

The moment:

M = J·ε = m·R²·ε

M = 60·0.070²·9 ≈ 2.65 N·m

Which of the following scenarios would most likely be considered pseudoscience?

A team of scientists replicating another experiment.
Generating a claim based on empirical evidence.
The theory of relativity.
The belief that the stars determine our fate.

Answers

The belief that the stars determine our fate is considered to be pseudoscience .

Large celestial bodies called stars are mostly made of hydrogen and helium, and in their cores, churning nuclear forges produce light and heat. Except for our sun, all of the other stars in the sky that we can see are light-years from the our planet i.e. earth.Celestial bodies, also referred to as heavenly bodies, are celestial objects in space, including the sun, moon, planets, and stars. They are a component of the vast universe that we exist in and are normally fairly far away from us.

Pseudoscience, which is defined as an activity that purports to be scientific but is actually not, is defined as seems science. Science does not engage in extraterrestrial affairs it simply studies the natural world. Science cannot provide an answer to morality, immorality, or questions of meaning or purpose, but it does require ethical behavior. In other hand astronomy is regarded as pseudoscience since no link between the locations of the stars and human behavior can be demonstrated using evidence from science.

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Answer: The answer is The belief that the stars determine our fate  or C

Explanation:

Bode made a rocket using an empty plastic bottle and fins made out of cardboard. After partially filling the bottle with water, he pumps air into the bottle using a pump attached to the rocket with plastic tubes. When the pressure in the bottle becomes high enough, the water gushes out and launches the rocket into the air, as shown in the diagram below.

How does the force that causes the water to leave the rocket compare to the force that causes the rocket to launch?
A.
They are unequal and act in opposite directions.
B.
They are equal and act in the same direction.
C.
They are equal and act in opposite directions.
D.
They are unequal and act in the same direction.

Answers

The force that causes the water to leave the rocket compared to the force that causes the rocket to launch is that they are unequal and act in opposite directions.

According to Newton's third law of motion, every action has a corresponding and opposing response. In the instance of Bode's rocket, the pressured air in the bottle causes the water to rush downward out of the bottle, causing the rocket to fly upward into the air. The upward force on the rocket is equivalent to the force of the water streaming down. Thus, the two forces are equivalent and exert opposing forces.

When you pump, more air is pumped into the bottle while maintaining the same volume. By doing this, you raise the pressure inside the bottle, increasing the force acting on the interior of the bottle. Eventually, when the bottle can no longer withstand the pressure, the cork will be violently ejected from the bottle's bottom by the force of the pressure

The air will be forced out of the bottle as rapidly as possible by the abrupt pressure drop caused by the new opening. When the air leaves the bottle, the pressure that was previously holding it under pressure is used to drive all of the water out with it.

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Answer:

They are equal and act in opposite directions.

Explanation:

I just answered the question on study island and got it right :P

The largest and the smallest balls used in the experiment are with diameter 9. 52 mm, and 2. 38 mm respectively. For a glycerin with viscosity 1. 0 pa. S, what is the time necessary for each ball to reach a velocity 95% of the terminal velocity? density of the ball material is given in the text. Round the result to three decimal places.

Answers

The time necessary for the larger ball is 66.904 x 10⁻³ s and for the smaller ball is  4.166 x 10⁻³ s.

We have ,

density of balls(ρ) = 1.42 g/cm³

density of glycerin(σ) = 1.30 g/cm³

acceleration due to gravity = 9.8 m/s²

Diameter of larger ball = 9.52 mm

diameter of smaller ball = 2.38 mm

we know that the formula for terminal velocity is given by

[tex]V_{t}[/tex] =( [tex]\frac{2r^{2}g}{9n}[/tex] ) (ρ - σ)

  now for larger ball  terminal velocity is given by

[tex]V_{1}[/tex] = (2 [9.52/2 x 10⁻³]² x 9.8 x(1.42 x 10⁻³ - 1.30 x 10⁻³ )) / 9 x 1.0

∴ [tex]V_{1}[/tex] = 5.92 x 10⁻³ m/s

now for smaller ball  terminal velocity is given by

[tex]V_{s}[/tex]  =  (2 [2.38/2 x 10⁻³]² x 9.8 x(1.42 x 10⁻³ - 1.30 x 10⁻³ )) / 9 x 1.0

[tex]V_{s}[/tex] =  0.37 x 10⁻³ m/s

Now 95 % of the terminal velocity of larger ball will be = 5.62 x 10⁻³ m/s

95 % of the terminal velocity of smaller ball will be = 0.35 x 10⁻³ m/s

Also the acceleration = 0.084 m/s⁻²

using the equation of motion

v= u + at                     ( v= 95% velocity and u = initial velocity (0)  )

as u = 0

∴ v = at

t = v/a

so we can calculate time as follows

t (larger ball) = 5.62 x 10⁻³/0.084 = 66.904 x 10⁻³ seconds

t (smaller ball)=  0.35 x 10⁻³/ 0.084  = 4.166 x 10⁻³ seconds

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which requires the most energy to melt it: 1kg of ice, 1kg of solid lead or 1kg of solid ethanol

Answers

The substance that requires the greatest amount of energy to melt is ice.

What is the latent heat of fusion?

The latent heat of fusion refers to the energy that is required to melt 1 Kg of a substance. We must note that this heat goes into the breaking of the internal bonds of the material. Thus, the nature of the internal bonds in the materials are important when we are dealing with the latent heat of fusion.

We can see that the particles of ice are held together by the strong hydrogen bonds. As such, we can see that ice has the highest latent heat of fusion.

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you are an electron moving forward. you fly into a region where the magnetic field is pointing to your right. what is the direction of the magnetic force?

Answers

Therefore, the electric charge will travel in a circle around a fixed point. Positive charges move in a counterclockwise manner when the magnetic field is pointing into the page, whereas negative charges move in a clockwise direction (apply the right hand rule).

What is the magnetic field's force direction?

Perpendicular to the direction of motion is the direction of the force caused by a magnetic field.

According to the right hand rule, you should point your right thumb toward the direction of the velocity (v), your index finger toward the direction of the magnetic field (B), and your middle finger toward the direction of the magnetic force that results from that.

Right hand rule #1 governs the direction of the magnetic force on a moving charge, which is perpendicular to the plane formed by v and B. (RHR-1)

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the trees in a wooded area near a factory look like burnt toothpicks. what might be causing the problem?

Answers

Acid rain, smoke, and exhaust from the factory.
Hope this helps pls mark brainliest if it did :)

The diagram shows a position-time graph.
Position vs Time
What is the displacement of the object?
O-2 m
O-1 m
O 3m
O4m

Answers

Answer:

0_2 is 0.2 with 0_1 0.1 will 0_3 is 0.3 and with 0_2 0.

Explanation:

2

a 200 kg weather rocket is loaded with 100 kg of fuel and fired straight up. it accelerates upward at 30 m/s2 for 34 s, then runs out of fuel. ignore any air resistance effects.

Answers

A rocket with 200kgs is loaded extra 100kgs then the  Rocket maximum altitude is 93005 m and total Time-of-Flight is 294 s

The Time-of-Flight concept (ToF) is a technique for determining distances between sensors and objects based on the amount of time that passes between a signal being sent and returning to the sensor after being reflected by an object. The Time-of-Flight principle can be employed with a variety of signals (also known as carriers), with sound and light being the most popular ones. The time it takes for photons to travel between two points—from the sensor's emitter to a target and back—in order to calculate distance for all Time-of-Flight (ToF) sensors.

Direct and indirect ToF both have unique advantages in particular situations. Each pixel in a scene can be simultaneously measured for distance and intensity.

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Newton's Law with Friction (Force on Angle) please help

Answers

The Acceleration of the system as depicted in the diagram is 1.38 m/s².

What is acceleration?

Acceleration is the rate of change of velocity. The S.I unit of acceleration is m/s²

To calculate the acceleration of the system, we use the formula below.

Formula:

a = (Fcos∅-mgμ)/m.......... Equation 1

Where:

a = Acceleration of the systemm = Mass of the systemF = Force applied to the system at a certain angleg = Acceleration due to gravity∅ = Angle at which the force was appliedμ = Coefficient of static friction

From the question,

Given:

m = 1.1 kgF = 5.4 N∅ = 54.6°μ = 0.15g = 9.8 m/s²

Substitute these values into equation 1

a = {(5.4cos54.6°)-(1.1×9.8×0.15)}/1.1a = (3.13-1.617)/1.1a = 1.38 m/s²

Hence, the acceleration of the system is 1.38 m/s².

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the moderate temperatures of islands throughout the world has much to do with water's vast supply of internal energy. high evaporation rate. absorption of solar energy. high specific heat. poor conductivity.

Answers

High specific heat of the water. Option (c)

What is Specific heat?

The amount of heat required to increase the temperature of one gram of a substance by one degree Celsius is referred to as the substance's specific heat. Typically, calories or joules are used per gram and degree Celsius when referring to the units of specific heat.

The moderate temperature of islands has much to do with the water's high specific heat. The typical off-water is more significant than this clear land or soil. Due to this fact, water absorbs and releases eat more slowly. In comparison to the land.

Hence, the water has high specific heat.

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A 75 kg student drives a 650 kg car. What is the applied force on the car if the car
starts from rest and accelerates to 60 m/s in 8 seconds?

Answers

Answer:

5437.5

Explanation:

I took the quiz.

An astronaut jumped on Mars. His initial velocity
was 1.88 m/s. If the gravitational acc. is -3.5-m/s²
on the moon,
a) What is the TOTAL time the astronaut is in the
atmosphere?
b) How high did the astronaut jump?

Answers

Due to the law of gravity, or gravitation, which draws all objects with mass in its vicinity toward it, Mars' gravitation is a natural occurrence.

.53 s the astronaut is in the atmosphere.

astronaut jump form .49 m.

What is Mars famous for?The rusty red color of Mars, the fourth planet from the sun, is well known. The atmosphere of the cold, arid Red Planet is extremely thin. But the dusty, (as far as we can tell) lifeless planet is far from boring.The closest planets to Earth are Venus and Mars,  though in different ways. Venus and Earth are remarkably similar in terms of size, average density, mass, and surface gravity. Mars, however, resembles Earth the most in other respects.Due to the law of gravity, or gravitation, which draws all objects with mass in its vicinity toward it, Mars' gravitation is a natural occurrence. Due to the planet's lesser mass, its gravity is weaker than that of Earth.Mars only has 0.38g of gravity, which is around one-third of Earth's. Despite the fact that any visitors would need to wear protective spacesuits, this indicates that moving around on the planet's surface will be more easier than on Earth.

from motion Equation : v= u + at

then we can find t = [tex]\frac{v-u}{a}[/tex] = -1.88/ 3.5 = .53 sec

s = ut + ½at²

put u = 1.88 a= -3.5 and t= .53

s = .49 m

.53 s the astronaut is in the atmosphere.

astronaut jump form .49 m.

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if the parachutist comes to rest with constant acceleration over a distance of 0.660 mm , what force does the ground exert on her?

Answers

The force exerted by the parachutist on the ground is 471.24 N when she comes to rest at a distance of 0.660 m

Let t = Time taken

u = Initial velocity , v = Final velocity

s = Displacement, a = Acceleration

As given in the problem initial velocity u = 3.85 m/s

Final velocity v = 0 (rest)

s = 0.660 m

From the equation of motion v² = u² + 2as

we have a = v²-u² / 2s

⇒a = 0-3.85² / (2* 0.660)

⇒a = -11.22 m/s²    (negative sign shows deceleration)

we know force F = mass m * acceleration a

Given mass of parachutist m = 42 kg

Force exerted by parachutist on ground

F = 42 * 11.22 = 471.24 N

If the distance is shorter, acceleration increases in magnitude and so does the force exerted by the parachutist.

The question is incomplete and the full question is probably " A 42.0-kg parachutist is moving straight downward with a speed of 3.85 m/s. (a) If the parachutist comes to rest with constant acceleration over a distance of 0.660 m, what force does the ground exert on her? "

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Isaac is practicing his volleyball skills by volleying a ball straight up and down, over and over again. His teammate
Marie notices that after one volley, the ball rises 3.6 m above Isaac's hands. What is the speed with which the ball left
Isaac's hand? (8.4 m/s) ANSWER FAST PLEASE!​

Answers

The action of volleying a ball straight up and down comes under the free-fall motion of the ball. Free-fall is defined as the motion of a body which falls freely due to the gravitational pull of the earth.

The velocity (v) of the ball undergoing free-fall can be calculated using the free-fall formula,

[tex]v^{2}[/tex] = 2gh

where, g is the acceleration due to gravity and h is the height of the freely falling body.

Given that, the height to which ball rises, h = 3.6m. (g = 9.8 m/[tex]s^{2}[/tex])

Substituting h and g in the velocity formula,

 [tex]v^{2}[/tex] = 2 × 9.8 m/[tex]s^{2}[/tex] × 3.6m

 [tex]v^{2}[/tex] = 70.56 [tex]m^{2}/s^{2}[/tex]

The velocity of volley ball is,

v =  [tex]\sqrt{70.56m^{2}/s^{2} }[/tex]

∴ v = 8.4 m/s

 

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What do we call the illusion of movement that results from two or more stationary, adjacent lights blinking on and off in quick succession?.

Answers

In 1912 Wertheimer discovered the phi phenomenon, an optical illusion in which stationary objects shown in rapid succession, transcending the threshold at which they can be perceived separately, appear to move.

What is phi phenomenon ?

When two neighbouring optical stimuli are presented in alternation with a relatively high frequency, an apparent motion is seen that is known as the phi phenomenon. At higher frequencies, beta movement is visible, but the stimuli themselves don't seem to move.

The concept of the phi phenomenon is crucial to the field of psychology known as Gestalt psychology. This field focuses on perception and is interested in comprehending how various components of a whole affect perception. The phi phenomenon tricks the brain into thinking that objects that aren't moving are.

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7) You push on box G that is next to box H, causing both boxes to slide along the floor, as shown in the figure.
The reaction force to your push is
Push
GH
A) the push of box G against you. B) the acceleration of box G.
C) the push of box H on box G. D) the push of box G on box H.

Answers

Answer:

c

Explanation:

because whenever you push g box into h box and then h displaces according to third law of motion h box will apply the force on g box so that's why

An electron is moving with a velocity of 4.3 x 106 m/s in a uniform magnetic field of strength 3.5 T. The velocity vector makes a 55o angle with the magnetic field. What is the magnitude of the magnetic force on the electron?Group of answer choices4.0 x 10-12 N8.0 x 10-12 N2.0 x 10-12 N6.0 x 10-12 N

Answers

Given:

The velocity of the electron is

[tex]v=4.3\times10^6\text{ m/s}[/tex]

The strength of the uniform magnetic field is B = 3.5 T

The angle between the velocity of the electron and the magnetic field is 55 degrees.

Also, the charge on the electron is

[tex]e\text{ =1.6}\times10^{-19\text{ }}C[/tex]

To find the magnetic force on the electron.

Explanation:

The magnetic force can be calculated as

[tex]\begin{gathered} F=\text{Bev sin }\theta \\ =3.5\times1.6\times10^{-19}\times4.3\times10^6sin(55^{\circ}\text{)} \\ =2\times10^{-12}\text{ N} \end{gathered}[/tex]

Final Answer: The magnetic force on the electron is 2 x 10^(-12) N

A merry-go-round spins freely when janice moves quickly to the center along a radius of the merry-go-round. It is true to say that.

Answers

No, its fake the instant of inertia of the machine decreases and the angular pace will increase.

A merry-go-spherical spins freely while janice actions fast to the middle alongside a radius of the merry-go-spherical. Moment of inertia is a amount withinside the rotational movement which performs a position analogous to position performed with the aid of using mass withinside the linear movement. Hence, it's also referred to as angular mass or the rotational momentum.

Janice decreases her contribution to the instant of inertia of the machine with the aid of using transferring towards the rotation axis. This decreases the whole second of inertia of the machine. The angular momentum L of the machine does now no longer extrade seeing that no outside torque is applied. The angular pace ω will increase sinceω = L/I.

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A cliff jumper runs off a 15\,\text m15m15, start text, m, end text high cliff. Rocks extend 3.0\,\text m3.0m3, point, 0, start text, m, end text past the cliff bottom. We can ignore air resistance.

Answers

1.7 m/s is the horizontal velocity that is required to clear the rocks.

As the jumper runs off a 15 m high cliff.

And according to the question,  starts with 0 velocities in the start direction thus he covers 15 m.

Given,

x = 15 m

a = g = 9.8 m, which is the acceleration due to gravity.

iv is the initial velocity which is 0, vo = 0

vf is the final velocity,

Using 2nd equations of motion,

x = iv × t + (1 ÷ 2) a × t²

15 = 0 + ((1 ÷ 2) × ( 9.8) × t²)

t = 1.75

Thus, the time is 1.75 seconds.

Using the same equation, horizontal velocity will be:

x = iv × t + (1 ÷ 2) a × t²

3 = vf × (1.75) + 1 ÷ 2 × (0) × (1.75)

vf = 1.7

Therefore, The horizontal velocity required to cover the rocks is 1.7 m/s.

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suppose the object's angular coordinate θ is changing at a rate of 1/5 rad/sec when the object is 4 meters from the source of the central force. express f ( r ) in terms of m and r (measured in kg and meters, respectively).

Answers

The f(r) in terms of m and r measured in kg and meters from angular velocity is 4/5t .

We need to know about angular velocity to solve this problem. The angular velocity can be defined as rotational velocity and have a relationship with linear velocity. The angular velocity should follow

ώ = v / R

where ώ is the angular velocity, v is linear velocity and R is the radius.

From the question above, the given parameters are

ώ = 1/5 rad/s = 180 / 5π ⁰/s

θ = θ

R = 4 m

Find the linear velocity

ώ = v / R

1/5 = v / 4

v = 4/5 m/s

Find the position function (f(r))

dv = df(r) / dt

f(r) = ∫v.dt

f(r) = ∫4/5 . dt

f(r) = 4/5 t

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Clare de Iles is shopping. She walks 16m North to the end of an aisle. She then makes a right hand turn and walks 21m Eastward to the end of the aisle. Determine th emagnitude of Claire's resultant displacement. And the angle of her resultant.

Answers

The magnitude and direction of Clare's resultant displacement is 26.4 m and  37.3⁰ respectively.

What is the resultant displacement?

The magnitude of Clare's resultant displacement is calculated as follows;

her initial position, a = 16 m north

Final position, b = 21 m east

Resultant displacement, d = √a² + b²

d = √(16² + 21²)

d = 26.4 m

The direction of the resultant displacement is calculated as follows;

tan θ = 16 / 21

where;

θ is the direction of the displacement obtained by forming right triangle from the initial and final position

tan θ = 0.762

θ  = arc tan(0.762)

θ  = 37.3⁰

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A rifle is aimed horizontally at a target 53 m away. The bullet hits the target 2.3 cm below the aim point.

Answers

The time of flight of bullet is 0.0685 seconds and the speed when it emerges out of the gun is 775.

As the bullet is fired horizontally from the gun at a distance of 53m away. But the bullet hits the target 2.3cm below the target.

So, the vertical displacement of the bullet is 2.3cm. The accelerations in the vertical direction will be g (acceleration due to gravity).

(a) As we know, in case of gravity, we can use equations of motion,

So, using equation,

S = ut + 1/2gt²

Where, u is the initial velocity of the bullet which is 0m/s in this case,

S is the vertical displacement of the bullet,

g is acceleration due to gravity and,

t is time of flight of the bullet.

Putting all the values,

S = 1/2gt²

2.3/100 = 1/2(9.8)(t²)

0.023 = 4.9t²

t² = 0.00469387

t = √0.0046987

t = 0.0685 seconds.

(b) The velocity as it emerges from the gun is equal to the muzzle velocity of the gun,

So, we can write,

Muzzle velocity V = Horizontal distance covered/time taken.

V = 53/0.0685

V = 773.72 m/s.

One thing that should be noted here is that the initial velocity that we took as zero in part (a) is taken with respect to the vertical motion and nit the Horizontal motion. So, one should not confuse the muzzle velocity in part (b) with the initial velocity mentioned in the part(a)

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Complete question - A rifle is aimed horizontally at a target 53 m away. The bullet hits the target 2.3 cm below the aim point. Find

(a) the bullets time of flight and (b) its speed as it emerges from the rifle?

a plane accelerates from 4 m/s/s for 28.7 s until it finally lifts on the ground. Assuming the plane started from the rest, what was the planes displacement before takeoff?

Answers

There were 1647 before liftoff. 38 m moving planes.

A Straight Line Motion is defined as?

An object is considered to be in motion if its location throughout time changes in relation to its surroundings. It is the gradual change in an object's location. The only kind of motion that exists is linear motion.

Which three motion equations are there?

The three equations are as follows: S = ut + 12at2, v = u + at, v2 = u + 2as.

The airplane's initial speed is U=0 m/s.

The plane accelerates at a 4 m/s rate.

with a time stamp of 28.7 seconds.

Distance traveled using the formula S=ut+a

⇒ S=0(28.7)+0.5(4) (4)

=1647.38 ~ 1647m

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Can anyone give me the step by step solution for this question?

Answers

Answer:

ans a

Explanation:

The answer would be a as it would have to be the two wave heights added together which equals 15

arunner jack 12km north then turns and runs 16km in 3hours calculate his average velocity​

Answers

A runner jack 12km north then turns and runs 16km in 3hours Therefore his average velocity is 1.3 km/h.

What is average velocity?

The change in position or displacement (x) divided by the time intervals (t) during which the displacement happens is the definition of average velocity. Based on the direction of the displacement, the average velocity might either be positive or negative. Meters per second (m/s or ms-1) is the SI measure for average velocity.

Given:

A runner jack 12km north then turns and runs 16km in 3hours .

Therefore average velocity= (16 - 12)/ 3 km/h

=1.3 km/h

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While on the moon, Buzz Aldrin carried on his back a support system that would
weigh over 1,775 N on Earth. What did the backpack weigh on the moon? (gravity
on the moon is 1.62 m/s^2)

Answers

Answer:

W' = 287.55 N

Explanation:

We know that weight force is defined as follows:

W = m × g

So:

On Earth (W = 1775 N):

1775 = m × 9.8

m = 1775 / 9.8

m = 181.12 kg

On the Moon (g' = 1.62 m/s²):

W' = m × g'

W' = 181.12 × 1.62

W' = 293.42 N

a race car driver is driving his car at a constant speed of 51.0 m/s on a circular track with a radius of 235 m. (a) what is the angular speed (in rad/s) of the car? rad/s (b) what are the magnitude (in m/s2) and direction of the car's acceleration? magnitude m/s2 direction

Answers

0.19362 rad/s is the angular speed and 8.8096 m/s2 is car's acceleration.

[tex]angular speed=\omega=v/r=45.5m/s/235m=0.19362rad/sec[/tex]

[tex]car acceleration =a=v^2/r=45.5^2m/s^2/235m=8.8096m/s^2[/tex]

The definition of angular speed is the rate of change of angular displacement, which is the angle a body travels along a circular route. The ratio of the number of rotations or revolutions performed by a body to the time taken is used to compute angular speed. The Greek letter Omega, stands for angular speed. Rad/s is the angular speed unit in the SI.

As is common knowledge, angular speed is defined as the rate of change of displacement divided by the time. Therefore, the equation for angular speed is = /t. Despite the aforementioned method, there is a different and more popular formula for calculating angular speed when it comes to competitive tests. As ω = θ/t

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a block is given an initial velocity of 5.00 m/s up a frictionless incline of angle 20 degrees. the magnitude of the block’s acceleration is 2.5 m/????2 while it is on the ramp. how far up the incline does the block get before sliding down again?

Answers

The block will incline up with projectile motion until 0.085 m before sliding down.

We need to know about the projectile motion to solve this problem. The projectile motion is known as parabolic motion and the velocity is divided by 2 axes.

vox = vo cosA

voy = vo sinA

where vox is initial velocity of x axis, voy is initial velocity of y axis, vo is initial velocity and A is the angle.

From the question above, the given parameters are

vo = 5 m/s

A = 20⁰

By using the uniform motion, where vty = 0 m/s. Hence,

vty² = voy² - 2gh

0 = 5.sinA - 2 . 10 . h

20h = 5 . sin20⁰

h = 1/4 . 0.34

h = 0.085 m

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What acceleration will result when a 44.7-N net force applied to a 7.7-kg object?

Answers

The acceleration when a 44.7 N net force is applied to 7.7 kg object is 5.8 m / s²

According to Newton's second law of motion,

F = m a

F = Force

m = Mass

a = Acceleration

m = 7.7 kg

F = 44.7 N

a = F / m

a = 44.7 / 7.7

a = 5.8 m / s²

Newton's second law of motion states that the force is equal to the rate of change of momentum. It can also be said as acceleration of an object is directly proportional to the net force acting on the object.

Therefore, the acceleration of the object is 5.8 m / s²

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