Find the range of a projectile launched at an angle of 30° with an initial velocity of 20m/s.​

Answers

Answer 1

Answer:

The range is 35.35 m

Explanation:

Projectile Motion

It's the type of motion that experiences an object projected near the Earth's surface and moves along a curved path exclusively under the action of gravity.

Being vo the initial speed of the object, θ the initial launch angle, and [tex]g=9.8m/s^2[/tex] the acceleration of gravity, then the maximum horizontal distance traveled by the object (also called Range) is:

[tex]\displaystyle d={\frac {v_o^{2}\sin(2\theta )}{g}}[/tex]

The projectile was launched at an angle of θ=30° with an initial speed vo=20 m/s. Calculating the range:

[tex]\displaystyle d={\frac {20^{2}\sin(2\cdot 30^\circ )}{9.8}}[/tex]

[tex]\displaystyle d={\frac {400\sin(60^\circ )}{9.8}}[/tex]

[tex]d=35.35\ m[/tex]

The range is 35.35 m


Related Questions


If a car manufacturer reduced the mass of a new car model, so that it took a force of 4000 N
to accelerate towards the barrier at 4 m/s2, what would be the mass of
the new car?

Answers

Answer:

1000 kg

Explanation:

Force = mass x acceleration, Hence, mass = Force/acceleration

mass = 4000/4 = 1000 kg

Which quantities define momentum?​

Answers

Answer:

velocity and mass

Explanation:

:) apek

Two bodies made of the same material have same external dimension and appearance, but one is compact solid and other is hollow. When they heated for the same temperature range, is the overall volume expansion the same or different? Explain.

Answers

Answer:

Different

Explanation:

The hollow one will expand even more making it have a larger volume then the solid one so they are different

A ball that is out of play is called a __________________. 2. Volleyballs are made out of __________________ material. 3. A __________________ occurs when the server steps on or over the end line. 4. Contact of the ball by a player is called __________________. 5. The __________________ decides who will serve and the choice of playing area.

Answers

Answer:

1) Deadball

2) Leather

3) Foot Fault

4) Pass

5) Captain

Explanation:

1) In most sports when a ball is out of play or termed temporarily unplayable, it is said to be a Deadball.

2) Volleyballs are generally made of leather materials be it synthetic or genuine leather.

3) In volleyball, when a server steps on or over the end line, it is called foot fault.

4) The first contact of a ball by a player after a serve from a passer is usually called a pass.

5) In volleyball, the referee issues a coin toss in presence of both captains and the captain with the winning toss is the one that makes the choice of play area and the first server.

A sled with no initial velocity accelerates at a rate of 3.2 m/s2 down a hill. How long does it take the sled to go 15 m to the bottom? *

Answers

s = ut + 1/2 at^2
a = 3.2 m/s^2
s = 15m
Find t
15 = 1/2(3.2)t^2
15 = 3.2t^2/2
30 = 3.2t^2
30/ 3.2 = 9.38
Square root of 9.38 = 3.06
It takes 3.06 seconds

If the velocity of an object is zero, then that object cannot be accelerating. | True or False

Answers

Answer: False

Explanation:

View the chart on the characteristics of electromagnetic and mechanical waves and answer the question.

Electromagnetic Waves Mechanical Waves
Transverse Waves Transverse, Longitudinal, and Surface Waves
Do not require a medium Require a medium
Begin with the movement of charged particles Begin when matter is disturbed
How is the transfer of energy different in electromagnetic waves compared to mechanical waves?

a
Electromagnetic waves requires a source of energy
b
Electromagnetic waves can transfer energy through a vacuum, or empty space
c
Electromagnetic waves create a vibrating electric field
d
Electromagnetic waves can change speed or direction

Answers

I think the answer is c

Answer:

a

Explanation:

Answer if you know

If you give me a good explanation on how quantum mechanics work, you get 20 points and possibly a brainliest.

Answers

Answer:

spectra.

Atomic spectra is series of colored lines which occures when atoms emit light of certain wavelengths. Element produces a particular set of spectral lines.

Electrons exist in shells and each shell has a specific energy. Electrons absorb photons and jump to higher energy levels.

Explanation:

If you committed a crime, would it be easy for investigators to match this print to your records? Why or why not? Hint: how’s the quality of the lifted print? How rare is your pattern? (At least two sentences)

Answers

Answer:

This question is incomplete

Explanation:

This question is incomplete because of the absence of the picture of the print in question. However, when the quality of the print obtained from a crime scene is high/good, then this is a good/positive step in identification of a suspect. However, if the quality is bad, other options might need to be explored in addendum to the print obtained in identifying a suspect.

If the quality of the print is good enough to make a pattern, then another factor comes into play. If the pattern is a rare pattern or is not common, then it becomes easier to identify the suspect because there would be fewer people having that fingerprint and fewer people to deal with. Of the three major patterns of fingerprints (whorl, loop and arch), arch fingerprints are the least common.

A roller coaster is travelling 1 m/s at the top of the track. At the bottom of the track, 5 seconds later, it is travelling 36 m/s. What is the average acceleration?

7.2 m/s2
0.14 m/s2
36 m/s 2
7 m/s2

Answers

Answer:

7m/s²

Explanation:

Given parameters:

Velocity at the top = 1m/s

Velocity at the bottom  = 36m/s

Time  = 5s

Unknown:

Average acceleration = ?

Solution;

Acceleration is the rate of change of velocity with time. It is expressed as;

  A = [tex]\frac{v -u}{t}[/tex]

v is the velocity at the top

u is the velocity at the bottom

t is the time taken

 Now, insert the parameters and solve;

  A = [tex]\frac{36 - 1}{5}[/tex]   = 7m/s²

The average acceleration will be "7 m/s²".

Given values:

Top velocity,

v = 1 m/s

Bottom velocity,

u = 36 m/s

Time,

t = 5 s

The acceleration is:

→ [tex]A = \frac{v -u}{t}[/tex]

By putting the values,

       [tex]= \frac{36-1}{5}[/tex]

       [tex]= \frac{35}{5}[/tex]

       [tex]= 7 \ m/s^2[/tex]

Thus the answer above i.e., "option d" is correct.

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Will give brainliest!! How would you write the direction of the vector above as a global angle?

Answers

Answer:

Assuming they're unit vectors (length of 1)

You simply add them together.

The vector pointing right can be described with X and Y

(1, 0).

The vector pointing down

(0, -1).

The numbers are taken from the axis in X and Y directions.

If you add them together you get a final vector.

(1, - 1)

This gives you -45° pointing South East.

Or 360°-45°=315°

A man drops a penny V=0 off the top of the Golden Gate Bridge how fast will the penny be moving when it hits the ground? The golden hat bridge is 275 meters tall

Answers

Answer:

Vf = 73.4 m/s

Explanation:

This is the case of vertical motion where we have to find the final velocity of the penny when it hits the ground. We can use 3rd equation of motion to find the final velocity:

2gh = Vf² - Vi²

where,

g = 9.8 m/s²

h = height = 275 m

Vf = Final Velocity = ?

Vi = Initial Velocity = 0 m/s

Therefore,

2(9.8 m/s²)(275 m) = Vf² - (0 m/s)²

Vf = √5390 m²/s²

Vf = 73.4 m/s

The speed with penny dropped from the Golden Gate Bridge hits the ground is 73.4m/s.

Given the data in the question;

Since the penny was at rest before it was dropped

Initial velocity; [tex]u = 0[/tex]Height or distance of the golden hat bridge; [tex]s = 275m[/tex]

Final velocity; [tex]v = \ ?[/tex]

To determine the speed with which the penny hits the ground, we use the Third Equation of Motion:

[tex]v^2 = u^2 + 2as[/tex]

Where v is the final velocity, u is the initial velocity, s is the height of the bridge and a is acceleration due to gravity ( since its under gravity; [tex]a = g = 9.8m/s^2[/tex] )

We substitute our values into the equation

[tex]v^2 = 0 + [ 2\ *\ 9.8m/s^2\ *\ 275m]\\\\v^2 = 5390m^2/s^2\\\\v = \sqrt{5390m^2/s^2}\\\\v = 73.4 m/s[/tex]

Therefore, the speed with penny dropped from the Golden Gate Bridge hits the ground is 73.4m/s.

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What happens to the kinetic energy of a hot drink when an ice cube is put into the drink?

Answers

Answer:

Heat is kinetic energy -- the higher the temperature of a substance, the faster and farther its molecules move.

Explanation:

... Conversely, when heat transfers from your beverage to the ice and the temperature of the liquid drops, the molecules in the beverage slow down. When those molecules slow down, their kinetic energy decreases.

HEY GUYS IS THIS TRUE OR FALSE????????

Answers

True it is true so put true

can u plz help
Define: Medium ​

Answers

Answer:

Medium: something in a middle position, maybe in between sizes big or small, or in a situation it's not negative or positive it's just neutral.  (I'm sorry if that wasn't helpful)

Explanation:

An object is projected straight upward with an initial speed of 25.0 m/s. What's the maximum height obtained by the object ?

Answers

Answer:

The maximum height obtained by the object is approximately 31.855 m

Explanation:

The vertical velocity of the object = 25.0 m/s

The height reached by the object, is given by the following formula;

v² = u²  -  2 × g × h

Where;

u = The initial velocity of the object = 25.0 m/s

v = The final speed of the object = 0 m/s at maximum height

h = The maximum height obtained by the object

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

Substituting the values, gives;

0² = (25.0 m/s)²  -  2 × 9.81 m/s² × h

2 × 9.81 m/s² × h = (25.0 m/s)²

h = (25.0 m/s)²/(2 × 9.81 m/s²) ≈ 31.855 m

The maximum height obtained by the object, h ≈ 31.855 m.

Which example illustrates Newton's second law?
A. A wheelbarrow remains stationary when no one pushes on it.
B. More mass is added to a wheelbarrow, and a larger force is
required to move it.
C. A person pushes a wheelbarrow, causing it to move forward.
D. The force of a wheelbarrow on the ground is equal to the force of
the ground on the wheelbarrow.

Answers

Answer:B

Explanation:

Mass

More mass is added to a wheelbarrow, and a larger force is required to move it - illustrates Newton's second law.

What is force?

An object's push or pull is seen as exerting a force. The interaction of the objects produces push and pull. You can also use words like stretch and squeeze to describe force.

The definition of force in physics is: The push or pull on a mass-containing item changes its velocity.

Newton’s second law of motion states that “Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration."

Hence more mass is added to a wheelbarrow, and a larger force is required to accelerate, i.e., move it.

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What is the net force on a bathroom scale when a 110 pound person stands on it? How do you know?

Answers

The scale is a rest scale reads the support for is not enough net force.

A 3kg ball moving at 8 m/s strikes a 2kg ball at rest,if the collision is elastic,what is the speed of the lighter ball if the heavier ball moves at 2m/s in the opposite direction

Answers

Answer:

Speed of lighter ball is 4 m/s.

Explanation:

Applying the principle of conservation of linear momentum,

momentum before collision = momentum after collision.

[tex]m_{1}[/tex][tex]u_{1}[/tex] + [tex]m_{2}[/tex] [tex]u_{2}[/tex] = [tex]m_{1}[/tex][tex]v_{1}[/tex] - [tex]m_{2}[/tex][tex]v_{2}[/tex]

[tex]m_{1}[/tex] = 3 kg, [tex]u_{1}[/tex] = 8 m/s, [tex]m_{2}[/tex] = 2 kg, [tex]u_{2}[/tex] = 0 m/s ( since it is at rest), [tex]v_{1}[/tex] = 2 m/s, [tex]v_{2}[/tex] = ?

(3 x 8) + (2 x 0) = (8 x 2) - (2 x [tex]v_{2}[/tex])

24 + 0 = 16 - 2[tex]v_{2}[/tex]

2[tex]v_{2}[/tex] = 16 - 24

2[tex]v_{2}[/tex] = -8

[tex]v_{2}[/tex] = [tex]\frac{-8}{2}[/tex]

   = -4 m/s

This implies that the light ball moves at the speed of 4 m/s in the opposite direction of the heavier ball after collision.

What do scientists use to measure force?

Answers

Answer:

force meter

Explanation:

Answer:

Wrong, the correct answer is "newton"

Explanation:

1 Newton = 1 kilogram-meter per second2

Un automóvil se mueve hacia el norte siguiendo una trayectoria rectilínea con una velocidad constante, recorre 195 Km cada 1.3 h. ¿Calcula la velocidad con que se mueve?

Answers

Answer:

La velocidad con la que se mueve el automóvil es 150 [tex]\frac{km}{h}[/tex]

Explanation:

La velocidad es una magnitud que expresa la relación entre el espacio recorrido por un objeto, el tiempo empleado para ello y su dirección.

Es decir, la velocidad se define como la relación que se establece entre la distancia recorrida y el tiempo transcurrido en el movimiento de un móvil.

Se puede calcular la magnitud de la velocidad utilizando la siguiente expresión:

[tex]velocidad=\frac{distancia}{tiempo}[/tex]

En este caso:

distancia= 195 kmtiempo= 1.3 h

Reemplazando:

[tex]velocidad=\frac{195 km}{1.3 h}[/tex]

Resolviendo:

velocidad=150 [tex]\frac{km}{h}[/tex]

La velocidad con la que se mueve el automóvil es 150 [tex]\frac{km}{h}[/tex]

Where would you find the photosphere

Answers

The photosphere is the visible surface of the sun. The photosphere is the innermost layer of the sun.
In the atmosphere I think I don’t really know?

pls help me with this question pls

Answers

Explanation:

pls help me with this question pls

You are at a circus and you see a stunt man climb up 29.4 meters into a cannon. He gets fired horizontally out of the cannon with a speed of 57.1 m/s. How long was stunt man in the air for?

Answers

Answer:

t = 2.44 s

Explanation:

Given that,

A stunt man climb up 29.4 meters into a cannon. He gets fired horizontally out of the cannon with a speed of 57.1 m/s.

We need to find the time for which was the stunt man in the air. Let it is t. It can be calculated using second equation of motion as follows :

[tex]s=ut+\dfrac{1}{2}gt^2[/tex]

u is initial speed and it is 0

[tex]s=\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{2s}{g}} \\\\t=\sqrt{\dfrac{2\times 29.4}{9.8}} \\\\t=2.44\ s[/tex]

So, the stunt man is in the air for 2.44 seconds.

Bird man is flying horizontally at a speed of 33m/s and a height of 86m. Bird man releases a turd directly above the start of the field. How far from the start of the field should the robot hold the bucket to catch the turd.

Answers

Answer:

2838

Explanation:

A 0.111 kg hockey puck moving at 55 m/s is caught by a 80 kg goalie at rest. With what speed does the goalie slide on the (frictionless) ice? a 3.78 m/s b 2 m/s C 0.076 m/s d 1.056 m/s​

Answers

Answer: 0.076 m/s

Explanation:

Momentum is conserved:

m v = (m + M) V

(0.111 kg) (55 m/s) = (0.111 kg + 80. kg) V

V = 0.076 m/s

After catching the puck, the goalie slides at 0.076 m/s.

A 0.111 kg hockey puck moving at 55 m/s is caught by a 80 kg goalie at rest. With speed does the goalie slide on the ice is 0.076 m/s

What is speed?

The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

Momentum is conserved:

m v = (m + M) V

(0.111 kg) (55 m/s) = (0.111 kg + 80. kg) V

V = 0.076 m/s

After catching the puck, the goalie slides at 0.076 m/s.

A 0.111 kg hockey puck moving at 55 m/s is caught by a 80 kg goalie at rest. With speed does the goalie slide on the  ice is 0.076 m/s.

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According to the Declaration of Independence, all people are created in what manner?

Answers

Answer:

All men are created equal.

Explanation:

We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.

-Declaration of Independence

The second paragraph of the United States Declaration of Independence starts as follows: "We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the Pursuit of Happiness.

A 10 V fan with a current of 2 A is turned on for 30 seconds. Calculate the energy transferred in joules,

Answers

Answer:

E = 600 J

Explanation:

Given that,

Voltage, V = 10 V

Current, I = 2 A

Time, t = 30 s

We need to find the energy transferred. Energy transferred is calculated as follows :

[tex]E=I^2Rt[/tex]

Ohm's law, V = IR, R = V/I

[tex]E=I^2\times \dfrac{V}{I}\times t\\\\E=IVt\\\\E=2\times 10\times 30\\\\E=600\ J[/tex]

So, 600 J of energy is transferred.

Answer:600J

Explanation:

Which has the most momentum?
Select one:
A. 100 kg at rest
B. 20 kg at 2 m/s
C. 5 kg at 50 m/s
D. 10 kg at 5 m/s​

Answers

Answer: C

Explanation:

A: 100kg*0m/s (obviously not answer)

B: 20kg*2m/s (=40)

C: 5kg*50m/s (=250, safe bet this one is it)

D: 10kg*5m/s (=50)

5 kg at 50 m/s, with a momentum of 250 kg m/s has the most momentum.

Hence, the correct option is C.

To calculate momentum, we use the formula:

Momentum (p) = Mass (m) × Velocity (v)

Let's calculate the momentum for each option:

A. 100 kg at rest

Momentum = 100 kg × 0 m/s = 0 kg m/s

B. 20 kg at 2 m/s

Momentum = 20 kg × 2 m/s = 40 kg m/s

C. 5 kg at 50 m/s

Momentum = 5 kg × 50 m/s = 250 kg m/s

D. 10 kg at 5 m/s

Momentum = 10 kg × 5 m/s = 50 kg m/s

Therefore, 5 kg at 50 m/s, with a momentum of 250 kg m/s has the most momentum.

Hence, the correct option is C.

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A 200 N net force acts on a 50 kg box. What is the acceleration of the box?

Answers

Answer:

a= 4m/s^2

Explanation:

Fnet =200N

m=50kg

a=?

Fnet = ma

200=50a then divide both sides by 50 to get acceleration

Taking into account the Newton's second law, the acceleration of the box is 4 [tex]\frac{m}{s^{2} }[/tex].

In first place, you have to know that Newton's second law, called the fundamental law or fundamental principle of dynamics, states that a body accelerates if a force is applied to it.

Then, the amount of force necessary is proportional to the acceleration that the body acquires, and the constant of proportionality  is the mass of the body.

Mathematically, Newton's second law is:

F= m×a

where:

F = Force [N] m = Mass [kg] a = Acceleration [m/s²]

In this case, you know:

F= 200 N m= 50 kg a= ?

Replacing in the Newton's second law:

200 N= 50 kg×a

Solving:

a=200 N÷ 50 kg

a= 4 [tex]\frac{m}{s^{2} }[/tex]

In summary, the acceleration of the box is 4 [tex]\frac{m}{s^{2} }[/tex].

Learn more about the Newton's second law:

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