the graph shows position versus time for an object moving with the constant acceleration. what is the final velocity of the object at t=10s? assume the initial velocity at the origin is 1 m/s.

3.32 m/s
4.0 m/s
3.0 m/s
3.8 m/s

Answer:

(a) The velocity of the car before the brakes were applied is 77.46 ft/s

(b) The time required for the car to stop is 7.8 s

Explanation:

Given;

acceleration of the car, a = 10 ft/s²

distance traveled by the car, d = 300 ft

(a) the velocity of the car before the brakes were applied is given;

v² = u² + 2ad

v² = 0 + 2(10 x 300)

v² = 6000

v = √6000

v = 77.46 ft/s

(b) the time required for the car to stop

d = ut + ¹/₂at²

d = 0 +  ¹/₂at²

d = ¹/₂at²

t² = 2d / a

t = √ ( 2d / a)

t = √ ( 2 x 300 / 10)

t = 7.8 s

Therefore, the time required for the car to stop is 7.8 s

The speed of the car immediately before the brakes were applied was 77.46 ft/s and it took 7.75 s for the car to stop.

Using the formula:

v² = u² + 2as

Where S is the distance = 300 ft, u is the initial velocity, a is the acceleration = -10 ft/s², v is the final velocity = 0 ft/s (stops)

0² = u² + 2(-10)(300)

0 = u² - 6000

u² = 6000

u = 77.46 ft/s

b)

v = u + at

0 = 77.46 - 10t

t = 7.75 s

The speed of the car immediately before the brakes were applied was 77.46 ft/s and it took 7.75 s for the car to stop.

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Answer:

t = 13.43 s

Explanation:

In order to find the minimum time required by the plane to stop, we will use the first equation of motion. The first equation of motion is written as follows:

Vf = Vi + at

where,

Vf = Final Velocity of the Plane = 0 m/s (Since, the plane finally stops)

Vi = Initial Velocity of the Plane = 95 m/s

a = deceleration of the plane = - 7.07 m/s²

t = minimum time interval needed to stop the plane = ?

Therefore,

0 m/s = 95 m/s + (- 7.07 m/s²)t

t = (95 m/s)/(7.07 m/s²)

t = 13.43 s

Answer:

181.87 N

Explanation:

Given that a  mountain climber lies flat on the surface of a glacier (assumed frictionless), which is inclined at 30 degrees to the horizontal. he remains stationary because he is holding on to a rope that is attached to a spoke in the ice further up the slope.

Since the he slope is parallel to the surface of the ice.

if the force of the ice on the climber is 210N, the tension T in the rope will be

T = 210 cos 30

T = 181.86 N

Therefore, the tension in the rope is 181.86 N

Answer:

0.3

Explanation: when you average out the number sthat is the answer you get

Explanation:

They speed up, slow down, or change direction.

Answer:In order for object to be accelerating, the net force (sum of all forces) acting on the object has to be non-zero. According to Newton's Second Law of Motion, Force = Mass x Acceleration. ... If the object is sitting motionless on the ground, then the net force (sum of all forces) acting on it is zero.

Explanation:

The correct answer is A) d = v * t

Explanation:

When writing an equation the goal is to represent the equality between different mathematical expressions or elements. Due to this, in an equation the symbol = is always used. Additionally, to translate a sentence into an equation, the variables should be represented using numbers or letters.

For example, in the sentence "The distance traveled is the speed multiplied by the time" there are three variables mentioned: distance, speed, and time. Also, these can be represented through the letters d (distance), v (speed or velocity), and t (time). Besides this, the sentence explains speed should be multiplied by time, which means it should be written as v × t or v * t and this is equivalent (=) to distance or t. According to this, the final equation would be d = v * t.

The moon orbits the Earth once every 27.322 days. It also takes approximately 27 days for the moon to rotate once on its axis. As a result, the moon does not seem to be spinning but appears to observers from Earth to be keeping almost perfectly still.

Answer:

approximately 27 days

The moon orbits the Earth once every 27.322 days. It also takes approximately 27 days for the moon to rotate once on its axis.

Explanation:

Answer:

I think C but I'm not sure

The statement that illustrates how engineering has influences society is nuclear power plants provide cheap electricity to power people's homes. The correct option is A.

This claim serves as an example of how engineering has impacted society. Because they offer a practical and economical source of electricity for lighting up homes and other infrastructure, nuclear power plants have had a big impact on society.

The ability to create electricity from the energy held in atoms thanks to improvements in nuclear technology has boosted the availability and affordability of power for users.

This illustrates how advances in engineering can influence and enhance how society fulfils its energy needs.

Thus, the correct option is A.

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Answer: the only force acting upon your body is the force of gravity

Explanation: a non-contact force. ... The force of gravity is the only force acting upon your body. There are no external objects touching your body and exerting a force. As such, you would experience a weightless sensation.

Explanation:

When in free fall, the only force acting upon your body is the force of gravity - a non-contact force. Since the force of gravity cannot be felt without any other opposing forces, you would have no sensation of it. You would feel weightless when in a state of free fall

Answer:

Change in Q = 2.1x 10^-3 C

Explanation:

We are given that

The Initialcapacitance C1 = 6.0μF

Initial charge oncapacitor

Q1 = C1 V

= 6.00 x 10^-6 x 100

= 6.00 x 10^-4 C

So the Final capacitance C2 will be

= K x C1 = 4.5 x 6.00 x 10^-6

= 2.7 x 10^ -5 F

So to get Finalcharge

We use Q2 = C2 x V

= 2.7 x 10^ - 5 x 100

= 27 x 10^ -4 C

So Charge flown in thecapacitor is change in Q

Which is = Q2 - Q1

= 27 x 10^-4 - 6.0 x 10^ -4

Change in Q = 2.1x 10^-3 C

[tex]\left(95\dfrac{\rm gal}{\rm min}\right)\left(\dfrac{231}{1.00}\dfrac{\mathrm{in}^3}{\rm gal}\right)\left(\dfrac{1.0}{12}\dfrac{\rm ft}{\rm in}\right)^3\left(\dfrac{1.0}{60}\dfrac{\rm min}{\rm s}\right)\approx0.211661\dfrac{\mathrm{ft}^3}{\rm s}[/tex]

Multiplying 95 gal by 231 converts it to in^3. Dividing by 12^3 converts in^3 to ft^3. Dividing by 60 converts min to s.

Answer:

A)   θ = 13.1º  , B)  E

Explanation:

A) For this exercise, let's use Newton's second law, let's set a reference frame where the axis ax is in the radial direction and is horizontal, the axis y is vertical.

In this reference system the only force that we must decompose is the Normal one, let's use trigonometry

        sin θ = Nₓ / N

        cos θ = [tex]N_{y}[/tex] / N

        Nₓ = N sin θ

       Ny = N cos θ

x-axis (radial)

        Nₓ = m a

where the acceleration is centripetal

         a = v² / R

we substitute

        -N sin θ = -m v² / R                   (1)

the negative sign indicates that the force and acceleration towards the center of the circle

y-axis (Vertical)

          Ny - W = 0

           N cos θ = mg

           N = mg / cos θ

we substitute in 1

          mg / cos θ  sin θ = m v² / R

          g tan θ = v² / R

          θ = tan⁻¹ (v² / gR)

we calculate

        θ = tan⁻¹ (25² / 9.8 274)

        θ = 13.1º

B) when comparing the equations the correct one is E

Answer:

vertical axis measures voltage while

The horizontal axis of an oscilloscope measures time

2) we are told that Period

T = 25 microseconds = 25*10^-6 s

So we also know that

frequency f = 1/T

So

= 1/(25*10^-6)

= 40,000 Hz

Answer:

c

Explanation:

Answer:

the answer is c i just did it

Explanation:

Answer:

towards the center of the circle

(which appears to be the last option in your list of possible answers)

Explanation:

The centripetal force points always towards the center of the circle described by the object moving.

The direction of centripetal force acting on an object is always towards the center of the circle in which the object is moving.

The given problem is based on the concept and fundamentals of centripetal force. When an object is known to move around a circular path, then there is a force comes to play acting towards the centre of circular path, known as centripetal force.

Thus, we can conclude that the direction of centripetal force acting on an object is always toward the center of the circle in which the object is moving.

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Answer:

0.5 m.

Explanation:

From the question given above, the following data were obtained:

Force (F) applied = 5 N

Work done (W) = 2.5 J

Distance (s) travalled by the book =?

We can obtain the distance travelled by the book by applying the formula of work done. This is illustrated below:

Work done (W) = Force (F) × Distance (s)

W = F × s

Force (F) applied = 5 N

Work done (W) = 2.5 J

Distance (s) travalled by the book =?

2.5 = 5 × s

Divide both side by 5

s = 2.5/5

s = 0.5 m

From the above calculation, the book will travel 0.5 m when a force of 5 N is applied.

i cant understand your question define briefly

The magnitude of the resultant vector is D, 7.0 meters/second, and the direction is to the left.

To add these two velocity vectors, find the magnitude and direction of each vector. The magnitude of the first vector is 5.8 meters/second, and the direction is to the right. The magnitude of the second vector is 1.2 meters/second, and the direction is to the left.

To find the magnitude of the resultant vector, add the magnitudes of the two vectors. The magnitude of the resultant vector is 5.8 meters/second + 1.2 meters/second = 7.0 meters/second.

To find the direction of the resultant vector, find the angle between the two vectors. The angle between the two vectors is 180 degrees. The direction of the resultant vector is 180 degrees from the first vector, which is to the left.

Therefore, the magnitude of the resultant vector is 7.0 meters/second, and the direction is to the left.

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Answer:

electrical energy-found in the flow of electrical charges

chemical energy-found in the bonds BTW atoms

thermal energy-found when internal energy is transferred

nuclear energy-found in the nucleus of an atom.

The correct match is: nuclear energy: found in the nucleus of an atom, thermal energy: found when internal energy is transferred, electrical energy: found in the flow of electrical charges, chemical energy: found in the bonds between atoms.

Nuclear energy: This type of energy is obtained from an atom's nucleus. It is released by processes such as nuclear fission or fusion, which utilise the energy held inside atomic nuclei.

Thermal energy is the energy associated with an object's or a system's temperature. When there is a temperature differential, it is a type of internal energy that is exchanged between objects.

Electrical energy is associated with the passage of electric charges, such as electrons, via a conductor.

Chemical energy is contained in the bonds that connect atoms and molecules. When these connections are broken or created, it is released or absorbed during chemical processes.

Thus, this can be the match for the given forms of energy.

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Answer:

The speed would be about 80.8 km/h

Explanation:

Notice that the ship really traveled northeast (at 45 degrees north from East) covering eastwards 4727 km.

That means (by using the East projection in a right angle triangle) that the total distance was  (the hypotenuse of the right angle) :

[tex]Distance= \frac{4727}{cos(45^o)} \approx 6685\,\,km[/tex]

Then the velocity of the ship was the quotient between this distance divided the time it took. Now,notice that the time is given in days, hours, and minutes, but we need the final velocity answer in km per hour. Then we reduce the given time to hours:

3 days + 10 hours + 40 min = 3 (24) h + 10 h + (40/60) h = 248/3 hours which is approximately 82.7 hours.

Then this record speed is the quotient:

6685 km / 82.7 h = 80.8 km/h

Explanation:

...................,..........

Newton's first law states that at rest the sum of the forces acting on a body is zero

The distance S to which the painter can climb is approximately 2.55 meters

The reason the above value for the distance is correct is as follows:

The given parameter are;

The mass of the painter, m₁ = 90 kg

Length of the ladder, l = 4 m

The mass of the ladder, m₂ = 15 kg

The coefficient pf static friction, μ = 0.25

Friction force, [tex]\mathbf{F_f}[/tex] = Normal reaction, N × μ

Normal reaction (flat surface), N = Weight of painter + Weight of ladder

N = m₁·g + m₂·g

Where;

g = The acceleration due to gravity, g = 9.81 m/s²

N = 90 kg × 9.81 m/s² + 15 kg × 9.81 m/s² = 1,030.05 N

∴ [tex]\mathbf{F_f}[/tex] = 1,030.05 N × 0.25 = 257.5125 N

Friction force, [tex]\mathbf{F_f}[/tex] = 257.5125 N (Horizontal force)

At equilibrium, the sum of the  horizontal forces = 0

∴ Fₓ + [tex]\mathbf{F_f}[/tex] = 0

Fₓ = [tex]-F_f[/tex] = -257.5125 N (Acting opposite to the direction of the friction force)

The height of the top of the ladder from the ground, h = √(4²-1.5²) = √(13.75)

Taking moment about point A gives;

Clockwise moment = Anticlockwise moment

Fₓ × h = m₁·g·s·cos(θ) + m₂·g·(l/2)·cos(θ)

Therefore;

Fₓ × √(13.75) m = 90 kg × 9.81 m/s² × s × (1.5/4) + 15 kg × 9.81 m  × 2 m × (1.5/4)

Fₓ × √(13.75) m = 331.0875 N × s + 110.3625 J

257.5125 N × √(13.75) m = 331.0875 N × s + 110.3625 J

s = (257.5125 N × √(13.75) m - 110.3625 J)/(331.0875 N) ≈ 2.55 m

The distance to which the 90 kg painter can climb without causing the 4 m ladder to slip at its lower end, A, distance S ≈ 2.55 meters

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Let both the balls have the same mass equals to m.

Let [tex]v_1[/tex] and [tex]v_2[/tex] be the speed of the ball1 and the ball2 respectively, such that

[tex]v_1>v_2\;\cdots(i)[/tex]

Assuming that both the balls are at the same level with respect to the ground, so let h be the height from the ground.

The total energy of ball1= Kinetic energy of ball1 + Potential energy of ball1. The Kinetic energy of any object moving with speed, [tex]v[/tex], is [tex]\frac 12 m v^2[/tex]

and the potential energy is due to the change in height is [tex]mgh[/tex] [where [tex]g[/tex] is the acceleration due to gravity]

So, the total energy of ball1,

[tex]=\frac 12 m v_1^2 + mgh\;\cdots(ii)[/tex]

and the total energy of ball1,

[tex]=\frac 12 m v_2^2 + mgh\;\cdots(iii)[/tex].

Here, the potential energy for both the balls are the same, but the kinetic energy of the ball1 is higher the ball2 as the ball1 have the higher speed, refer equation (i)

So, [tex]\frac 12 m v_1^2 >\frac 12 m v_2^2[/tex]

Now, from equations (ii) and (iii)

The total energy of ball1 hi higher than the total energy of ball2.

Answer:

Force is the push or pull exerted on an object to make it move.

Without force , an object will remain in it's position

Newton's first law of motion proves this. And it states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.

Explanation:

Newton's second law of motion describes how force is related to mass and acceleration, and this relationship is used to calculate force. In general, the greater the mass of the object, the greater the force needed to move that object.

The statement "thermal energy can increase even if the average kinetic energy is constant" is definitely true.

Kinetic energy may be characterized as a type of energy that an object possesses due to its motion. It is defined as the work that is required to accelerate a body of a given mass from rest to its stated velocity. It measures the work an object can do by the virtue of its motion.

The thermal energy will still enhance even if the average kinetic energy remains constant. This is because it is based on the relationship between kinetic energy and thermal energy. Kinetic energy is defined as the energy possessed by an object or body as a result of its motion.

Therefore, the statement "thermal energy can increase even if the average kinetic energy is constant" is definitely true.

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because it uses a systematic method of asking and answering problems, and it attempts to develop solution to psychological problems.

Answer:

it uses a systematic method of asking and answering problems,

Explanation:

Answer:

is there an equasion it gives you?

Explanation:

need a little more info.

Answer:

true

Explanation:

Because if u have seen many velocity videos or got taught it then u should know

Answer:

The second option

Explanation:

I am not sure sry

Answer:

v = 1.69 m/s

Explanation:

Given that,

Displacement of the student is 304 m due North and it takes 180 s.

We need to find the student's average velocity. Using formula of velocity.

Velocity = displacement/time

[tex]v=\dfrac{304\ m}{180\ s}\\\\v=1.69\ m/s[/tex]

Hence, the student's average velocity is 1.69 m/s.

The student's average velocity will be "1.69 m/s".

The main distinction between velocity as well as speed would be that velocity, like speed, seems to have a direction and therefore it is a vector quantity.

This same distance travelled together along a straight line throughout a particular direction from either the beginning point is defined as displacement. Because displacement has both size as well as the direction, it's a vector quantity.

Given values:

We know,

The velocity (v):

= [tex]\frac{Displacement}{Time}[/tex]

By substituting the values, we get

= [tex]\frac{304}{180}[/tex]

= [tex]1.69 \ m/s[/tex]

Thus the answer above is correct.

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