A horse trotting at 3 meters per second speeds up with an acceleration of 2
meters per second2 for a distance of 15 meters. Calculate the horse’s final
speed.

Answers

Answer 1

Answer:

The horse's final speed is 8.31 m/s

Explanation:

Motion With Constant Acceleration

It's a type of motion in which the velocity of an object changes uniformly in time.

The equation that describes the change of velocities is:

[tex]v_f=v_o+at\qquad\qquad [1][/tex]

Where:

a   = acceleration

vo = initial speed

vf  = final speed

t    = time

The distance traveled by the object is calculated as follows:

[tex]\displaystyle x=v_o.t+\frac{a.t^2}{2}\qquad\qquad [2][/tex]

Solving [1] for t and substituting into [2] we get the following equation:

[tex]V_f^2=V_o^2+2aX[/tex]

Now we use the data provided by the question. The horse starts at vo=3 m/s and then accelerates at [tex]a=2 m/s^2[/tex] for a distance of x=15 m. The final speed is:

[tex]V_f^2=3^2+2(2)(15)[/tex]

[tex]V_f^2=9+60=69[/tex]

[tex]V_f=\sqrt{69}[/tex]

[tex]V_f=8.31\ m/s[/tex]

The horse's final speed is 8.31 m/s


Related Questions

If a moving body of mass 100g has kinetic energy 45 joules, what will be it's velocity?​

Answers

Answer:

[tex]\boxed{\pink{\sf Velocity \ of \ the \ body \ is \ 30m/s .}}[/tex]

Explanation:

Given that a body is moving which has a mass of 100g. And its Kinetic energy is 45 Joules . We need to find its velocity . So ,

[tex]\boxed{\red{\bf Kinetic\: Energy =\dfrac{1}{2}mv^2 }}[/tex]

Now here mass is in grams. So converting it into SI units we have , 100/1000 kg = 0.1 kg

[tex]\implies KE =\dfrac{1}{2}mv^2 \\\\\implies 45 J = \dfrac{1}{2}\times \dfrac{1}{10} kg \times v^2 \\\\\implies v^2 = 45 \times 20 \\\\\implies v^2 = 900 m^2/s^2 \\\\\implies v =\sqrt{900 m^2/s^2} \\\\\underline{\boxed{\blue{\tt \implies Velocity = 30m/s }}}[/tex]

Name ten scalar quantity and explain them ​

Answers

Answer:

A scalar is a quantity that is fully described by a magnitude only. It is described by just a single number. Some examples of scalar quantities include speed, volume, mass, temperature, power, energy, and time.

Examples of scalar quantity are:

Distance.

Speed.

Mass.

Temperature.

Energy.

Work.

Volume.

Area.

Explanation:

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What is the speed of sound in a medium with a wavelength of 340 m and a
frequency of 2.5 Hz?

Answers

Explanation:

Speed

= Wavelength * Frequency

= 340m * 2.5Hz

= 850m/s

Un vagón de 250 kg situado en la cima de una montaña rusa inicia su descenso por una rampa inclinado 60º sobre la horizontal. Si no tenemos en cuenta el rozamiento: a. Dibuja todas las fuerzas que actúan sobre el vagón. b. Calcula la fuerza y la aceleración con que desciende.

Answers

Um I don’t understand what your saying

Please help me with this question

Answers

Explanation:

I think the answer is 3/5

dimension for weight​

Answers

Answer:

What is meant by

Explanation:

Dimensions

Answer:

The dimension of weight is MLT−2: mass times acceleration, that is, a force.

Explanation:

hope this will help you

3. a stone thrown up is caught by the thrower after 6 seconds how high did it go and where was it 4 seconds after start (g = 9.8m/s2)??​

Answers

Answer:

here, v = 0, a = - 9.8 m/sec^2, t = 3 sec

v = u + at

0 = u + (-9.8) * 3

0 = u - 29.4

u = 29.4 m/sec

here, u = 29.4m/s, t = 3sec, a= -9.8m/s^2

s = ut + 1/2 a t^2

s = 29.4 * 3 + 1/2 * - 9.8 * 3^2

s = 88.2 - 4.9 * 9

s = 88.2 - 44.1

s = 44.1 m

here, u = 0, a = 9.8m/s^2, t = 1 sec, s = ?

position after 4sec :

s = ut+ 1/2 at^2

s = 0 * 1 + 1/2 * 9.8 * 1^2

s = 4.9m

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A helium-filled balloon in the room of a house suddenly bursts.
State and explain, in terms of atoms, what happens to the helium from the
balloon after the balloon has burst.

Answers

it starts by the gas inside the ballon

A 747 requires a takeoff speed of 270 meters per second if it is to get off the
ground. Calculate the acceleration required for the 747 that begins from rest
to takeoff on a 1000 meter long runway.

Answers

Answer:

a = 36.45[m/s²]

Explanation:

We can calculate the acceleration value by means of the following expression of kinematics.

[tex]v_{f}^{2} =v_{o}^{2} +2*a*x[/tex]

where:

vf = final velocity = 270 [m/s]

Vo = initial velocity = 0 (begins from rest)

a = acceleration [m/s]²

x = distance required by the plane = 1000 [m]

[tex](270)^{2} =0+2*a*1000\\72900=2000*a\\a=36.45 [m/s^{2} ][/tex]

20 pts !!!!

Four identical pallets of bricks, each with a mass of 40 kg with a square cross-sectional area of 0.50 m2, are stacked on the floor. What is the change in height of the pallet at the bottom of the stack if the pallets are 5.0 m tall when not stacked?

a.

1.04 μm

b

0.78 μm

c

0.26 μm

d

0.16 μm

Answers

Am not really sure but what i see is D

In this activity, you will research how scientists developed historical
models of the atom and present your findings. In the process, you
will draw evidence from texts to support analysis, reflection, and
research

Answers

Answer: Bohr's model (1913)

  Niels Bohr improved Rutherford's model. Using mathematical ideas, he showed that electrons occupy shells or energy levels around the nucleus. The Dalton model has changed over time because of the discovery of subatomic particles.

Bohr's model (1913)

  Niels Bohr improved Rutherford's model. Using mathematical ideas, he showed that electrons occupy shells or energy levels around the nucleus. The Dalton model has changed over time because of the discovery of subatomic particles

  Dalton's atomic theory proposed that all matter was composed of atoms, indivisible and indestructible building blocks. While all atoms of an element were identical, different elements had atoms of differing size and mass.

  John Dalton

The idea that everything is made of atoms was pioneered by John Dalton (1766-1844) in a book he published in 1808. He is sometimes called the "father" of atomic theory, but judging from this photo on the right "grandfather" might be a better term.

Explanation:

A puck moves 2.35 m/s in a
-22.0° direction. A hockey stick pushes it for 0.215 s, changing its velocity to 6.42 m/s in a 50.0° direction. What was the magnitude of the acceleration?

Answers

Answer:

28.4

Explanation:

for those on acellus

The acceleration of the puck is the rate of change in velocity of the puck. The acceleration is obtained as 9.06 m/s².

What is acceleration?

Acceleration of an object is its rate of change in velocity. It is a vector quantity, thus, having both magnitude and direction.

The velocity components is given

2.35 m/s in direction of 22° and 6.42 m/s in a direction of 50°.

Thus, initial velocity u = 2.35 cos 22 = 2.17 m/s

final velocity V = 6.42 cos 50 = 4.12 m/s

Hence, the change in velocity = V - U

= 4.12 - 2.17 = 1.95 m/s.

The time change is given ΔT = 0.215 s.

ΔV = 1.95 m/s

Thus, acceleration = ΔV / ΔT

= 1.95 m/s / 0.215 s

= 9.06  m/s².

Therefore, the acceleration of the puck is  9.06 m/s².

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how would our lives be different if we didnt have the technology based on the other parts of the EM Spectrum

Answers

Answer:

it would be horrible

Explanation:

yeah

When you tune your radio, watch TV, send a text message, or pop popcorn in a ... as when radiation is used to kill cancer cells, and other times not, as when we get ...
To fully appreciate the complexity of the world around us, however, we need to rely on human-made devices to provide views of the "invisible" world -- that is, the parts of the electromagnetic spectrum we cannot see without the aid of technology: gamma rays, X-rays, ultraviolet waves, infrared waves, microwaves, and ...

a car drives at a velocity of 12 [m/s] for 9 [s]. what distance does the car drive?

Answers

Answer:

The car drives 108 m

An object falls from a high building. Ignoring air resistance, what will its velocity be after 6 seconds of falling

Answers

Explanation:

Vf=Vi+at

reference frame,take down as positive in y- axis

Data

Vi=0m/s

Vf=?

a=g(9.8m/s2)

t=6s

Vf=0+9.8m/s2*6s

Vf=58.8m/s

The velocity of the object after falling for 6 s from a high building is 58.8 m/s

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

Initial velocity (u) = 0 m/s

Time (t) = 6 s

Acceleration due to gravity (g) = 9.8 m/s²

Final velocity (v) =?

The velocity of the object after falling for 6 s can be obtained as follow:

v = u + gt

v = 0 + (9.8 × 6)

v = 0 + 58.8

v = 58.8 m/s

Therefore, the velocity of the object after falling for 6 s is 58.8 m/s

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What is the mechanical advantage of the lever shown below?

Answers

Answer:1.35

Explanation:

The mechanical advantage of the lever shown in the question is 1.27. Mechanical advantage is the force amplified by a mechanical tool. Thus, the correct option is B.

What is Mechanical advantage?

Mechanical advantage is the measure of the force amplification which is achieved by using a tool such as, a mechanical device or machine system. The mechanical device trades off input forces against the movement to obtain a desired amplification in the output force of the system.

Mechanical advantage of the lever is simply the ratio of the effort arm to the load arm. Effort arm is the distance from the pivot to the point of application of the force while the load arm is the distance of the lord from the pivot point.

Therefore, the effort arm is 0.27m while the load arm is 0.2 m. Mechanical advantage is calculated through the formula:

MA=effort arm/load arm

MA = 0.27/0.2

MA = 1.35 which is close to 1.27

Therefore, the correct option is B.

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Your question is incomplete, most probably the complete question is:

What is the mechanical advantage of the level shown below?

A. 0.79

B. 1.27

C. 2.6

D. 3.67

How did unarmed defense techniques develop? Why were they needed? Why not just use a knife or a sword?

Answers

Answer:

Buddhist monks traveled from india to china and because of their beliefs they weren't allowed to use weapons.

Explanation:Ez

6. Find the acceleration of a 25kg crate man pushing it with 45N force?​

Answers

Answer:

1.8m/s2

Explanation:

force=mass x acceleration

so,

acceleration=force /mass

=45/25

=1.8

Identify the physical property of a material that plays an important role in determining if the collision is elastic or not based on your air tracks simulation data.

Answers

Answer:

They are spherical and hollow (not compact or dense)

Explanation:

An elastic collision is a form of a collision where kinetic energy and momentum are conserved in the process. When there is zero loss of kinetic energy and momentum, it is called a perfectly elastic collision.

This form of collision is observed in atmospheric gases and colliding balls which happens to be spherical and hollow.

What is the impulse on a 45,000 kg airplane when it changes its velocity
from 242 m/s to 258 m/s?*

Answers

Answer:

=720000kgm/s

Explanation:

The impuse is equivalent to the rate of change of momentum which is expressed below as

Impulse= mv2 - mv1

=m(V2 - V1)

V1= initial velocity= 242 m/s

V2=final velocity= 258 m/s?

m= mass of the plane =45,000 kg

Then if we input the values, we have,

= 45000(258-242)

=720000kgm/s

Hence,the impulse on a 45,000 kg airplane is 720000kgm/s

why does a fast working machine possess more power? Clarify your answer
Plz help by answering​

Answers

A chemical reaction increases in speed with the increase in temperature, hard to call that “power” but there's an increase in entropy in the system, far from its equilibrium point molecules start vibrating and colliding more within the system they're in, thus causing the chemical reaction to speed up.
This is a very different answer ....
Hope this helps you....
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Power can be defined as the rate at which energy is converted per unit time

and the formula is given below

Power = Force × Velocity

In a machine, there are series of energy conversion which takes place to

ensure work is done to achieve a goal. When the machine works fast, the

energy conversion increases with time.

The increase in energy conversion depicts that more work is done and the

machine has more power.

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A car moves with a speed of 72 km/h for 15 minutes and then with a speed of 80 km/h for the next 12 minutes. The total distance covered by the car is:

Answers

Answer:

The total distance covered by the car is 3,810.08 m

Explanation:

Given;

initial speed of the car, u = 72 km/hr = 20 m/s

initial time, t₁ = 15 minutes = 900 s

final speed of the car, v = 80 km/hr = 22.22 m/s

final time, t₂ = 12 minutes = 720 s

The acceleration of the car is given as;

[tex]a = \frac{v-u}{t_2 -t_1} \\\\a = \frac{22.22-20}{900-720}\\\\a = 0.0123 \ m/s^2[/tex]

The total distance covered by the car is given as;

v² = u² + 2as

where;

s is the total distance covered by the car

22.22² = 20² + 2(0.0123)s

22.22²  - 20² = 2(0.0123)s

93.728 = 0.0246s

s = 93.728 / 0.0246

s = 3,810.08 m

Therefore, the total distance covered by the car is 3,810.08 m

Answer:

34 km

Explanation:

Remark

You are dealing with distance not direction. So you just figure out the two parts separately and add.

15 minutes

t = 15 minutes * 1 hour / 60 minutes = 0.25 hours.

r = 72 km / hr

d = 72 km / hr * 0.25 hours

d = 18 km

12 minutes

t = 12 minutes * 1 hour/ 60 minutes = 0.2 hours

r = 80 km/hour

d = 80 * 0.2 = 16 km

Total distance

d = d1 + d2

d = 18 + 16 = 34 km

The amount of current flowing through a conducting material when 360C charge flows for 3min

Answers

Answer:

Amount of current (I) = 2 Amperes

Explanation:

Given:

Coulomb charge = 360 C

Time = 3 min = 3 x 60 sec = 180 sec

Find:

Amount of current

Computation:

Amount of current (I) = Coulomb charge / Time

Amount of current (I) = 360 / 180

Amount of current (I) = 2 Amperes

The point of a nail has an area of 0.25cm squared, and an average person has a weight of 700 N. Explain in detail why it is possible to lie on a bed of 4000 nails, but not on one single nail. Thanks

Answers

Answer:

It is possible to lie on a bed of 4000 nails, but not on one single nail because a bed of 4000 nails exerts lesser pressure than a bed of one single nail .

Explanation:

Given;

weight of an average person, W = F = 700 N

area of the nail, A = 0.25 cm² = 0.25 x 10⁻⁴ m²

The pressure exerted by a single nail is given as;

P = F / A

P = 700 / (0.25 x 10⁻⁴)

P = 2.8 x 10⁷ N/m²

The pressure exerted by 4000 nails is given as;

Total surface area of 4000 nails = 4000 x 0.25 x 10⁻⁴ m² = 0.1 m²

P = F / A

P = 700 / 0.1

P = 7,000 N / m²

From the calculated values, 4000 nails exerts less pressure on the person than one single nail because pressure decreases with increase in surface area of an object.

Thus, it is possible to lie on a bed of 4000 nails, but not on one single nail because a bed of 4000 nails exerts lesser pressure than a bed of one single nail .

a 100kg car travels at 2m/s. what is the momentum in kg

Answers

Answer:

200 kg.m/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question we have

momentum = 100 × 2

We have the final answer as

200 kg.m/s

Hope this helps you

What is the resulting acceleration when a net force of 18 N is applied to a 3.0 kg mass?

Answers

Here u go hope it helped

The resulting acceleration is 6m/s^2 , when a net force of 18 N is applied to a 3.0 kg mass.

Fnet = 18N

m= 3kg

Fnet = ma

18 = 3a

6m/s^2 = a

What is acceleration ?

"Acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities. The orientation of an object's acceleration is given by the orientation of the net force acting on that object."

What is force ?

"A force is an influence that can change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity."

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A star has ______________________________________________; it appears to be moving across the sky as a night progresses.

Answers

Answer:

Apparent Motion

Explanation:

Apparent Motion of a star is a scientific term that describes the phenomenon that is observed as a result of the earth's rotation which is based on the area or where the observer is situated, and then the point at which the star is found comparable to the rotation axis of the earth.

This often makes the start to appear like it's moving across the sky.

Hence, A star has APPARENT MOTION; it appears to be moving across the sky as the night progresses.

I was walking down the street and collapsed. My heart was racing and I struggled with
breathing. As I lay there, I watched as people walked by me not offering to help. At
one point I thought a young lady was looking towards me but when she noticed
everyone else's behavior, she turned and walked on past me. This scenario shows:
O the mere exposure effect.
O the fundamental attribution error,
O social loafing.
the foot-in-the-door phenomenon.
O the bystander effect.

Answers

Answer:

O the bystander effect.

Explanation:

In psychology, bystander effect is a theory that explains the unwillingness of a person to render help due to the presence of others. This theory explains that there is every tendency to help a victim in need when others are not there but act contrarily in the presence of others.

This is the case in this question where someone collapsed and laid helplessly on the floor due to difficulty in breathing. People walked past this victim without rendering assistance, however, a young lady who was about to help also walked past when she noticed that others were there and not offering help. This young lady has just portrayed the "BYSTANDER EFFECT".

What is the net work done to lift a 6 kg block a height of 5.3 meters and then lower it back to the ground where it started?

Answers

Answer:

636 J

Explanation:

The weight of the block is =mg = 6kg × 10 ms-2 = 60 N

Since it was raised and dropped back to it's original position, distance = 5.3 × 2 = 10.6 m

Work done = 60N × 10.6 m = 636 J

HELP If a skater has a mass of 55 kg and the maximum height the skater can reach is 10 m, then what will be the velocity of the skater if they skate down to a height of 5 m?


please if someone could explain this to me, that'd be appreciated :)

Answers

Hello, for this applicate formula:

Vf² = Vo² + 2gh

Data:

Vf = Final Velocity = ¿?

Vo = Initial veloctiy = 0 m/s

g = Gravity = 9,81 m/s²

h = Height = 5 m

Replacing according our data:

Vf² = 0 m/s² + 2(9,81 m/s²)(5 m)

Vf² = 98,1 m²/s²

Vf = √98,1 m²/s²

Vf = 9,9 m/s

The final velocity will be 9,9 meters per second.

The answer is 9.9 m/s

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