An archer shoots an arrow 75 m distant target; the bull's-eye of the target is at the same height as the release height of the arrow. If d = 75 m and v = 37 m/s. At what angle must the arrow be released to hit the bull's-eye if its initial speed is 37 m/s?

Answers

Answer 1

Answer:

[tex]16.25^{\circ}[/tex]

Explanation:

R = Horizontal range of projectile = 75 m

v = Velocity of projectile = 37 m/s

g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

Horizontal range is given by

[tex]R=\dfrac{v^2\sin2\theta}{g}\\\Rightarrow \theta=\dfrac{\sin^{-1}\dfrac{Rg}{v^2}}{2}\\\Rightarrow \theta=\dfrac{\sin^{-1}\dfrac{75\times 9.81}{37^2}}{2}\\\Rightarrow \theta=16.25^{\circ}[/tex]

The angle at which the arrow is to be released is [tex]16.25^{\circ}[/tex].


Related Questions

How is it possible a plant can sustain itself for 70 years locked inside a jar?

Answers

Answer:

If you are talking about the experiment in which mouse and plants are kept in a closed glass jar in sunlight so in that case, they both survive because the CO2 released by the respiration of mouse is being utilized by the plants and fixed ( phosynthesis) and O2 is released as by product, which is taken by the mouse for respiration.

Explanation:

the body acts on a force of 3N with the shoulder 20 cm. What is her moment?​

Answers

Answer:

0.6Nm

Explanation

Given

Force = 3N

Distance = 20cm = 0.2m

Moment = Force * perpendicular distance

Substitute

Moment = 3N  * 0.2

Moment = 0.6Nm

Hence her moment is 0.6Nm

A prism is made from transparent plastic. In this plastic, light travels at 0.8
in air. Light enters one face of the prism at right-angles as shown.
NOT TO
SCALE
ө
The light just escapes from the sloping face of the prism.
What is angle 0?
A 37°
B
390
С
510
D
53°

Answers

Answer:

Real answer is im sorry if im wrong

Explanation:

A 53°

The value of the angle Θ will be 51.3°. Option C is correct.

What is the definition of geometry?

It is concerned with the geometry, region, and density of various 2D and 3D shapes.

From snell's law;

[tex]\rm n= \frac{sini}{sinr} \\\\ 0.8= \frac{sin(90-\theta)}{sin \theta} \\\\ 0.8= cot \theta \\\\ \theta= cot^{-1} (0.8)\\\\ \theta =51.3^0[/tex]

The value of the angle Θ will be 51.3°.

Hence,option C is correct.

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Which wave must have a medium to travel?
A) light wave
B)compression wave
C) electromagnetic wave
D) ultraviolet wave

*****Urgent****

Answers

Letter B

without a medium, there is nothing to compress, hence, no wave. A fast- medium like a gas (air) is easy to compress and allows waves to move through it easily. a slow medium, like a liquid, is still pretty fast, but not as fast as air.

The answer is A good luck !

It takes 5000 J of work to lift a crate to a height of 5 m in 10 s of time.. Calculate the power.

Answers

Answer:

P = 500 W

Explanation:

Given that,

Work done to lift a crate to a height of 5 m is 5000 J

It takes 10 s

We need to find the power of the crate. We know that power is the rate of doing work. Mathematically, it can be given by :

[tex]P=\dfrac{W}{t}\\\\P=\dfrac{5000}{10}\\\\P=500\ W[/tex]

So, the power of the crate is equal to 500 W.

Consider the electric force between a pair of charged particles a certain
distance apart. By Coulomb's Law:
If the charge of one of the particles is doubled, the force is:
(unchanged), (halved), (doubled), (quadrupled)

Answers

Answer:

Doubled

Explanation:

F = (kq1q2) / r^2

F and q (Either q1 or q2) are directly proportional, so double the charge would also double the electruc force between the charges.

If a balloon has 12 electrons on its surface but also 13 protons, what
is the net charge on the balloon?

Answers

Answer:

q = 1

Explanation:

Given that,

No. of electrons = -12

No. of protons = 13

We need to find the net charge on the balloon. We know that net charge is equal to the sum of proton and the electrons such that,

Net charge = No. of electrons + no. of protons

= -12 + 13

= 1

So, the net charge is equal to 1.

How you work out efficiency?

Answers

Answer:

The work efficiency formula is efficiency = output / input, and you can multiply the result by 100 to get work efficiency as a percentage. This is used across different methods of measuring energy and work, whether it's energy production or machine efficiency.

Explanation:

Hope this helped!!!

The atomic number of an element is also the number of
_________ element.
in an
A. Protons
B. Neutrons
C. Electrons

Answers

Answer: A, protons

Why: it just is

a particle is projected from a point a with a velocity of 21m/s at an angle of 53.1 degees to the horizontal. one second later another particle is projected at a point 0.3m below a with initial velocity of 31.5m/s at an angle of 36.9 degrees to the horizontal.
(i) prove that the particles collide
(ii) find the time of collision
(iii) find the distance of collision from point of projection

Answers

Answer:

(i) Please see graph of the motion of the particles created with MS Excel and the calculations in the following sections

(ii) The time of collision is approximately 1.0 seconds

(iii) The common horizontal distance of point collision from the point of projection is approximately 25.2 meters

Explanation:

The velocity with which the first projectile was fired, v₁ = 21 m/s

The angle to the horizontal the particle is launched = 53.1°

The time at which the other particle was launched = 1 second later

The location from which the other particle was projected = 0.3 m below the first particle

The initial velocity of the second particle = 31.5 m/s

The angle to the horizontal at which the second particle was projected, θ = 36.9°

(i) The height reached, by each of the particle is given as follows;

y = u·t - 1/2·g·t²

For the first projectile, we have;

y = 21·(t₁+1)×sin(53.1°) - 9.81·(t₁+1)²/2 + 0.3

For the second projectile, we have;

y= 31.5·(t₁)×sin(36.9°) - 4.905·(t₁)²

If the two projectiles collide, we get;

21·(t₁+1)×sin(53.1°) - 9.81·(t₁+1)²/2 + 0.3  = 31.5·(t₁)×sin(36.9°) - 4.905·(t₁)²

Using a graphing calculator for simplifying, we get;

-11.93·t₁ + 12.2 = 0

t₁ = 12.2/11.93 ≈ 1.02

Therefore, at time t₁ = 1.02 seconds, after the launch of the second particle, the two particle will be at the same vertical height

However, whereby at the time, t₂, the particles collide, the horizontal distance travelled, 'x', will be equal;

We have;

x = u·cos(θ)·t₁

For the first particle, we have;

x₁₁ = 21 × cos (53.1°) × (t₂ + 1)

For the second particle, we have;

x₂₂ = 31.5 × cos (36.9°) × t₂

At the point of collision, we have;

x₁ = x₂

∴ 21 × cos (53.1°) × (t₂ + 1) = 31.5 × cos (36.9°) × t₂

31.5 × cos (36.9°) × t₂ - 21 × cos (53.1°) × t₂ = 21 × cos (53.1°)

t₂ = 21 × cos (53.1°)/(31.5 × cos (36.9°)  - 21 × cos (53.1°) ) = 1.00219236871

t₂ ≈ 1.0 seconds

Given that t₁ ≈ t₂, the particles reach the same height and the same horizontal distance at the same time, t₂ ≈ 1.0 and therefore, they collide.

(ii) The time of collision is found above as t₁ ≈ t₂ ≈ 1.0 seconds

(iii) The horizontal distance of the point of collision from the starting point, 'x', is given as follows;

x = 21 × cos (53.1°) × (1.0 + 1) ≈ 25.2

The horizontal distance of the point of collision from the starting point, x ≈ 25.2 meters

The vertical distance of the point of collision from the starting point of the second particle, 'y', is given as follows;

y = 21 × (1+1)×sin(53.1°) - 9.81 × (1+1)²/2 + 0.3 ≈ 14

The vertical distance of the point of collision from the starting point of the second particle, y ≈ 14 meters

The magnitude of the distance from the starting point of the second particle, r = √(25.2² + 14²) ≈ 28.8

The magnitude of the distance from the starting point of the second particle, r ≈ 28.4 meters.

What part of the roller coaster has the lowest potential energy?

Answers

It’s 1 that would be the lowest point potential energy

A person pushes a 125 kg object initially at rest on a frictionless surface. The object ends up with a final velocity of 1.40 m/s. What is the total
translational kinetic energy of the object?

Answers

Answer:

a person pushes a 125 kg

Explanation:

The total translational kinetic energy of the object is 122.5 J.

What is meant by kinetic energy ?

Kinetic energy is defined as the energy possessed by a body by virtue of its motion.

Here,

Mass of the object, m = 125 kg

The final velocity of the object, v = 1.4 m/s

It is given that the object was initially at rest on a frictionless surface. When the object was pushed by the person, it gained some amount of kinetic energy and ended up with a final velocity of 1.4 m/s.

So, the expression for total translational kinetic energy of the object is given by,

KE = KEf + KEi

KE = 1/2m(v² + u²)

Since, the object was initially at rest, the initial velocity,

u = 0

Therefore, the kinetic energy of the object,

KE = 1/2 mv²

KE = 1/2 x 125 x (1.4)²

KE = 122.5 J

Hence,

The total translational kinetic energy of the object is 122.5 J.

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As Jack pulls his wagon down the street it moves faster and faster. Jill, sitting a few meters ahead on the sidewalk, wants to slow Jack's wagon down so that it travels with a constant speed. How can Jill accomplish her goal? A) Push the wagon with a force greater than Jack. B) Push Jack away from the wagon so that he is no longer pulling it. C) Pull on the wagon in the opposite direction with twice Jack's force. D) Push the wagon in the opposite direction at a constant force less than Jack.

Answers

Answer:

The correct answer is NONE the two forces must be equal and of opposite direction, the closest answer is D

Explanation:

In this exercise it is indicated that Jack pushes a car, it is desired that Jill pushes the car so that the speed is constant

take as positive the direction of Jack's thrust

             F_jack - F_jill = 0

              F_jill = F_jack

therefore the push of the two must be equal and Jill's push must have the opposite direction to Jack's push.

The correct answer is NONE the two forces must be equal and of opposite direction, the closest answer is D

Energy ___________.

is used to do work
can't be converted from one form to another
can be created or destroyed​

Answers

Answer:

BRAINLIEST PLSSSSSSSSSSSSSSSSSSSSSSSS

Thermodynamics

Explanation:

Thermodynamics is the study of energy. First Law of Thermodynamics: Energy can be changed from one form to another, but it cannot be created or destroyed. The total amount of energy and matter in the Universe remains constant, merely changing from one form to another.

It’s the first one it’s used to do work

please help I got no time!!

Answers

Answer:

42a. Ammeter 2 = 0.20 A

42b. Ammeter 3 = 0.20 A

42c. The current will remain the same i.e unchanged.

43. Equivalent resistance is 11780 Ω

46a. 11 V

46b. 7.5 V

46c. 18.5 V

47. 1.70 A

Explanation:

42a. Determination of ammeter 2

Ammeter 1 = 0.20 A

Ammeter 2 =?

Since the resistors are in series connection, the same current will pass through them. Thus, ammeter 2 will read 0.20 A.

Ammeter 2 = ammeter 1 = 0.20 A

42b. Determination of ammeter 3

Ammeter 1 = 0.20 A

Ammeter 3 =?

Since the resistors are in series connection, the same current will pass through them. Thus, ammeter 3 will read 0.20 A.

Ammeter 3 = ammeter 1 = 0.20 A

42c. Since the resistors are in series connection, the same current will pass through them. Therefore, the current will remain the same.

43. Determination of the equivalent resistance.

We'll begin by converting 1.1 KΩ and 10 KΩ to Ω. This can be obtained as follow:

1 KΩ = 1000 Ω

Therefore,

1.1 KΩ = 1.1 KΩ × 1000 Ω / 1 KΩ

1.1 KΩ = 1100 Ω

1 KΩ = 1000 Ω

Therefore,

10 KΩ = 10 KΩ × 1000 Ω / 1 KΩ

10 KΩ = 10000 Ω

Finally, we shall determine determine the equivalent. This can be obtained as follow:

Resistor 1 (R₁) = 680 Ω

Resistor 2 (R₂) = 1100 Ω

Resistor 3 (R₃) = 10000 Ω

Equivalent Resistance (Rₑq) =?

Rₑq = R₁ + R₂ + R₃

Rₑq = 680 + 1100 + 10000

Rₑq = 11780 Ω

Thus, the equivalent resistance is 11780 Ω

46a. Determination of the voltage across 22 Ω

Current (I) = 0.50 A

Resistor (R₁) = 22 Ω

Voltage (V₁) =?

NOTE: the current is the same since the resistor are in series connection.

V₁ = IR₁

V₁ = 0.5 × 22

V₁ = 11 V

46b. Determination of the voltage across 15 Ω

Current (I) = 0.50 A

Resistor (R₂) = 15 Ω

Voltage (V₂) =?

NOTE: the current is the same since the resistor are in series connection.

V₂ = IR₂

V₂ = 0.5 × 15

V₂ = 7.5 V

46c. Determination of the voltage of the battery.

Voltage 1 (V₁) = 11 V

Voltage 2 (V₂) = 7.5 V

Battery voltage (V) =?

V = V₁ + V₂

V = 11 + 7.5

V = 18.5 V

47. Determination of the current.

We'll begin by calculating the equivalent resistance. This can be obtained as follow:

Resistor 1 (R₁) = 22 Ω

Resistor 2 (R₂) = 4.5 Ω

Equivalent Resistance (R) =?

R = R₁ + R₂

R = 22 + 4.5

R = 26.5 Ω

Finally, we shall determine the current.

Voltage (V) = 45 V

Resistance (R) = 26.5 Ω

Current (I) =?

V = IR

45 = I × 26.5

Divide both side by 26.5

I = 45 / 26.5

I = 1.70 A

What does fissure and conduit have in common?

Answers

Answer:

although commons their deposits can dense

A bucket is held up by a rope.
What force is pulling the bucket down?
O Force Gravity
O Force Tension
O Force Elastic
O Force Normal

Answers

Answer:

gravity...................

Answer:

Force Gravity

Hope it help you

What chemical formula did early instigators assume for water?

Answers

Answer:

Explanation:

 Investigators  thought this meant that oxygen was eight times more massive than hydrogen. They presumed the  chem-ical form-ula for water to be H-O

Hope this helped!!!  .

Which of the following regions of the EM epxtrum has the highest
frequency?

1) x rays
2) microwaves
3) infrared light
4) ultraviolet light

Answers

Answer:

1) x rays

Explanation:

Honestly Gamma rays has the Highest frequency, but in your options, gamma rays is not among, so x rays has the highest frequency among your options.

by Manshow

Answer:

The answer is (X-rays)

number 1

Electrons move from negative to positive while the voltage flows ________ to _______ .

Answers

Answer:

positive to negative.

1.
You just earned a $1000 bonus at your job. Would you rather receive all the money at the end of the
year or half the money now and half the money later? Why?

Answers

Half bcuz maybe I have dept and I can’t pay it or will have dept and it will be useful for many things and if you will take it at the end of the year you might get robbed and lose all

In the compound MgCl2, how many atoms of Mg are there?

Answers

There is 1 Mg and 2 Cl i think

Consider again the civilization described in the previous question. (They live on a planet orbiting 10 AU from a close binary star system that consists of a 15 MSun red giant star and a 10 MSun black hole surrounded by an accretion disk.) Through a bizarre (and scientifically unexplainable) fluctuation in the space-time continuum, a copy of a book from that civilization arrives on your desk; it is entitled Iguoonos: How We Evolved. In the first chapter, you learn that these beings evolved from organisms that lived 5 billion years ago. Which of the following statements should you expect to find as you continue to read this book?
A. Their immediate ancestors were chimpanzees.
B. As a result of traumatic experiences to their evolutionary ancestors, they dislike television.
C. They evolved on a different planet in a different star system, and moved to their current location.
D. They evolved from primitive wormlike creatures that had 13 legs, 4 eyes, and bald heads, thus explaining why such critters are now considered a spectacular delicacy.
E. They believe that the presence of two stars in their system was critical to their evolution.

Answers

Fysbsts dydbdysj dudgts offhand fidydh jdgdhd

The smaller the mass of an object, the _____ its inertia

Answers

Answer:

larger

Explanation:

just trust me

The smaller the mass of an object, the smaller its inertia, because the inertia of any object is directly proportional to the mass of the object

What is inertia?

The ability of an object to resist changes in motion is known as inertia. 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.

A straightforward illustration: While it is relatively simple to stop a tennis ball that has been thrown in our direction, we are aware that it is more difficult to stop a large truck that is moving in the same direction at the same speed. This is because the truck has a much higher mass than the tennis ball and a higher moment of inertia. As a result, inertia rises as mass does.

Since the inertia of any object is directly proportional to its mass, the smaller its mass, the less inertia it will have.

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HELP MEEEEE
(science)

Answers

Answer:

Decreases the friction between the mallet and the pick.

Calculate V1 and V2 ( V = voltage )
Given that Vs = 16V, R1 = 330Ω, and R2 = 470Ω
Please do not answer if you don't know how to do this

Answers

Question:

Calculate V1 and V2 ( V = voltage )

Given that Vs = 16V, R1 = 330Ω, and R2 = 470Ω

Solution:

Given that,

Vs = 16VR1 = 330ΩR2 = 470Ω

.°.

V1&V2↷

Firstly, we'll find the Total resistance of the circuit

=> 330Ω + 470Ω =800Ω

Now, we'll use the ohm's law to calculate the current flow in the circuit

Vˢ= IRᵀ

[tex]I= \frac{16}{800} = > \frac{1}{50}[/tex]

= 1/50 Ampere

Now,

V1 = IR

[tex]v1 = \frac{1}{50} \times 330 = > 6.6 \: Volt\ \\ v2 = \frac{1}{50} \times 470 = > 9.4 \: Volt[/tex]

______

Hope it helps

-------☆゚.・。゚ᵴɒƙυᴚᴀ_ƨȶäᴎ❀

If a ball is lifted 2 meters off the ground and 5 Newtons of force were needed to move it,
what amount of work has been done? :3

Answers

Answer:

W = 98 J

Explanation:

Given hat,

Force, F = 5 N

It is lifted 2 m off the ground.

We need to find the amount of work done. We know that, the work done by an object is given by the product of force and displacement. So,

W = Fd

or

W = mgd

Put all the values,

W = 5 × 9.8 × 2

W = 98 J

So, the work done is equal to 98 J.

1. An object of mass 300 kg is observed to
accelerate at the rate of 1 m/s. Calalate the
force required to produce this acceleration.

Answers

Answer:

The force required will be "300 N".

Explanation:

The given values are:

Mass of object,

m = 300 kg

Acceleration,

a = 1 m/s

Now,

The force will be:

⇒  [tex]F=m\times a[/tex]

On substituting the values, we get

⇒      [tex]= 300\times 1[/tex]

⇒      [tex]=300 \ N[/tex]

How energy is converted from one form to other

Answers

Explanation:

Energy can be converted from one form to another. Examples: Gasoline (chemical) is put into our cars, and with the help of electrical energy from a battery, provides mechanical (kinetic) energy. ... Similarly, purchased electricity goes into an electric bulb and is converted to visible light and heat energy.

Answer:

Explanation:

Energy transformation is when energy changes from one form to another.  While energy can be transferred or transformed, the total amount of energy does not change – this is called energy conservation. For example, Electricity goes into an electric bulb and is converted to visible light and heat energy.

Hope this helped!!!

which process is the source of most oxygen in the atmosphere

Answers

Answer:

photosynthesis

The air that enters human lungs contains about 21 percent oxygen. The process responsible for producing most of the Earth's oxygen is known as photosynthesis. In this process, plants and certain other organisms convert sunlight into oxygen and other products.

Explanation:

Hope it helps! Correct me if I am wrong!

I'm sure about my answer!

If you dont mind can you please mark me as brainlest?

Its ok if you don't want to!

But i hopefully it helps you!

Answer:

Photosynthesis I think

Explanation:

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