the maximum range of a projectile is 2÷√3 times its actual range what is the angle of the projection for the actual range​

Answers

Answer 1

Answer:

The actual angle is 30°

Explanation:

Equation of projectile:y axis:

[tex]v_y(t)=vo*sin(A)-g*t[/tex]

the velocity is Zero when the projectile reach in the maximum altitude:

[tex]0=vo-gt\\t=\frac{vo}{g}[/tex]

When the time is vo/g the projectile are in the middle of the range.

x axis:

[tex]d_x(t)=vo*cos(A)*t\\[/tex]

R=Range

[tex]R=d_x(t=2*\frac{vo}{g})[/tex]

[tex]R=vo*cos(A)*2\frac{vo}{g} \\\\R=\frac{(vo)^{2}*2* sin(A)cos(A)}{g} \\\\R=\frac{(vo)^{2} sin(2A)}{g}[/tex]

**sin(2A)=2sin(A)cos(A)

The maximum range occurs when A=45°(because sin(90°)=1)The actual range R'=(2/√3)R:

Let B the actual angle of projectile

[tex]\frac{vo^{2} }{g} =(\frac{2}{\sqrt{3} }) \frac{vo^{2} *sin(2B)}{g}\\\\1= \frac{2 }{\sqrt{3}} *sin(2B)\\\\sin(2B)=\frac{\sqrt{3}}{2}\\\\[/tex]

2B=60°

B=30°


Related Questions

If the power output for an instrument is 70.0W find the distance where the intensity is 0.0089 W/m2?
WITH THE EXPLANATION PLSSSSS

Answers

Answer:

r = 50[m]

Explanation:

Since the instrument has an operating or range radius, we must calculate this working distance or radius. We can determine the working area with the values that were given to us.

[tex]A=\frac{70W}{0.0089\frac{w}{m^{2} } } \\\\A=7865.16[m^{2} ][/tex]

Now using the area of the circle we can find the radius.

[tex]A=\pi *r^{2} \\7865.16=\pi *r^{2} \\\\r=\sqrt{\frac{7865.16}{\pi } } \\r=50[m][/tex]

Jason writes a report about how the land changes due to the movement of magma in earth's mantle. which of the following is he most likely including in his report?​

Answers

Answer: can I have answer choices

Explanation:

Please someone help!!!

Answers

I know it’s the Coulomb’s law and that I’m pretty sure the answer would be C.Inverse Square.

What do executive departments do?​

Answers

Answer:

Image result for What do executive departments do?​

Under Article II of the Constitution, the President is responsible for the execution and enforcement of laws created by Congress. Fifteen executive departments—each led by an appointed member of the President's Cabinet—carry out the day-to-day administration of the Federal Government.

Explanation:

The Cabinet and independent federal agencies are responsible for the day-to-day enforcement and administration of federal laws. ... Fifteen executive departments — each led by an appointed member of the President's Cabinet — carry out the day-to-day administration of the federal government.

A toy car runs Off the edge of a table at 2.5 m high. It’s a carlins 1.2 m on the base of the table fine how long it took the car to reach the ground

Answers

Sorryyyu i dlntttt knowww buttt i neeedd pontsss

A soccer player pumps air into a soccer ball until no more air can be pushed inside. Describe the air inside the soccer ball compared to the air outside the ball. (Use the word "particle" in your explanation.)

Answers

Answer:

the filling stops when the pressure of the pump equals the pressure of the interior air plus the pressure of the walls.

Explanation:

This exercise asks to describe the inflation situation of a spherical fultball.

Initially the balloon is deflated, therefore the internal pressure is equal to the pressure of the air outside, atmospheric pressure, when it begins to inflate the balloon with a pump this creates a pressure in the inlet valve and as it is greater than the pressure inside, the air enters it, this is repeated in each filling cycle, manual pump.

When the ball is full we have two forces, the one created by the external walls and the one aired by the pressure of the pump, these forces are directed towards the inside, but the air molecules exert a pressure towards the outside, which translates into a force. When these two forces are equal, the pump is no longer able to continue introducing air into the balloon.

Consequently the filling stops when the pressure of the pump equals the pressure of the interior air plus the pressure of the walls.

13. A lever does 5.0 J of work on a 0.10-kg ball bearing in a pinball machine. The ball's
resulting speed just after leaving the lever is -
.5 m/s
10 m/s
1 m/s
5 m/s
CLEAR ALL

Answers

Answer:

The resulting speed of the ball is;

10 m/s

Explanation:

The given parameters are;

The amount of work done by the lever = 5.0 J

The mass of the ball on which the work is done, m = 0.10 kg

By the principle of conservation of energy, we have;

The work done by the lever = The kinetic energy. K.E., gained by the ball

The kinetic energy, K.E., is given by K.E. = 1/2·m·v²

Where, for the ball, we have;

m = The mass of the ball

v = The resulting speed of the ball

Therefore, by substituting the known values, we have;

The work done by the lever = 5.0 J = The kinetic energy. K.E., gained by the ball =  1/2 × m × v² =  1/2 × 0.10 kg × v²

∴ 5.0 J = 1/2 × 0.10 kg × v²

v² = 5.0 J/(1/2 × 0.10 kg) = 100 m²/s²

v = √(100 m²/s²) = 10 m/s

The resulting speed of the ball, v = 10 m/s.

What is the flow of energy from the falling water to the steam?

a) mechanical -> mechanical -> electrical -> thermal -> thermal

b) mechanical -> mechanical -> electrical -> light -> thermal

c) chemical -> mechanical -> electrical -> thermal -> thermal

d) mechanical -> chemical -> electrical -> thermal -> thermal

Answers

Answer:

The flow of energy from falling water to the steam is;

a) Mechanical → Mechanical → Electrical → Thermal → Thermal

Explanation:

1) Mechanical → Mechanical

The water in the pipe before it falls possesses potential energy which it converts into kinetic energy as it falls from height

2) Mechanical → Mechanical

The water falling from the pipe stream unto the turbine wheel transfers its kinetic (mechanical) energy due to its motion on to the turbine wheel to give the wheel rotational motion

3) Mechanical → Electrical

The kinetic (mechanical) energy from the rotating turbine wheel is converted into electrical energy in the electrical generator which transported through the electrical circuit

4) Electrical → Thermal

The electrical energy from the electric current is then converted into thermal energy as the current passes through the resistors in the heating filament

5) Thermal → Thermal

The heated filament transfers thermal energy to the the water in the beaker by conduction which raises the temperature of the water such that as the water acquires more thermal energy it turns into steam

Therefore, we have the flow of energy from the falling water to steam as follows;

1) Mechanical 2) Mechanical 3) Electrical 4) Thermal 5) Thermal

YOU GUYS!!!!! I NEED WITH THIS QUESTION PLS PLS!!!!!! YEAH HIS IS DUE IN 10 MINUTES PLS PLS!!!!!!

Answers

Answer: Truck 2, because it has a larger mass than truck 1 (and the same velocity)

Explanation:

We can write the kinetic energy of an object with mass M and velocity V as:

K = (M/2)*V^2

Let's calculate the kinetic energy for each truck:

Now, we can see that both trucks move at the same velocity, but truck 1 has a mass of 5000 pounds, while truck 2 has also a mass of 5000 pounds and an extra of 900 pounds.

Then the total mass of truck 2 is 5000 pounds + 900 pounds = 5900 pounds.

Then both trucks have the same velocity, and truck 2 has a larger mass than truck 1, this implies that truck 2 will have a larger kinetic energy than truck 1.

somebody please help I need exuse to not go to pe because I injured my self anybody know what to say

Answers

Answer:

Say you feel like you twisted ur ankle or can move your foot or something in that category

athlete meseret defar runs at 10m

Answers

That nice .................

Questions 4-6 refer to the following material.
A ball swings freely back and forth in an arc from points I to IV, as shown. Point II is the lowest point
in the path, III is located 0.5 m above II and IV is I m above II. Consider air resistance to be negligible.
IV
111 10.5 m
4. If the potential energy is zero at II, where will the kinetic and potential energies of the ball be equal?
A) At point II
B) At some point between II and III
C) At point III
D) At some point between III and IV

Answers

I got b hope it helps good luck

!!!NEED ASAP!!!
Sebastian wants to write the chemical formula for phosphorus tetraoxide. He identifies the chemical symbols as P and O. Which additional step will he take in his process?
A. Identify the elements involved as potassium and oxygen
B. Add a subscript of 4 after O
C write the chemical symbols, in order, as Op
D. Use the prefix tetra before oxygen

Answers

Answer: C

Explanation: I guessed, don’t hurt me

Answer:

The correct answer is B

Explanation:

2. How important salad dressings in a salad?​

Answers

Answer:

Well its what makes a salad taste good.

Salad can be eating both ways so I’d say it’s a 50/50 importance

if a charge has a lot of electric potential energy, what is it said to have?

Answers

Answer:

current?

Explanation:

Select each correct answer. More than one answer may be correct.
Which of the following forces between two objects can be repulsive?
gravitational force
magnetic force
electrostatic force

Answers

Electrostatic force
Not sure if there is any others

Now that you’ve verified there’s current through the electromagnet, uncheck the Show Electrons box. This action turns off the electrons. (The current is still there; we just don’t see it.) Check the Show Compass box. Move the compass to the bottom right side of the coil. Does the electromagnet affect the compass needle?

Answers

Yes, the electromagnet still affects the compass needle.

(plato answer)

yeah, it affects the needle

What are the 2 types of shadow
cast by the moon during a solar
eclipse?

Answers

Answer:

umbra, penumbra

Explanation:

The person above me is correct.




A vector is 14.4 m long and points in a 133 degree direction . Find the y - component of the vector .

Answers

Answer:

I put X and Y components so make sure you pay attention to which is correct for you.

Explanation:

X = -9.82

Y = 10.5

A bicycle and a massive truck have a head-on collision. Which vehicle has more inertia ?

Answers

The truck has more inertia, it is bigger/heavier so it would take a lot more force to get it to change its speed/direction

The ultimate source of energy for weather is the ____.
moon
sun
wind
oceans

Answers

the sun
hope this helps !

A person is going to take a trip from town eight to town D to do this they travel 60 KM in .45 hour And then stop in town before lunch it takes. 15 hour in the journey continues to town see over .5 hour and covers a distance of 30 KM they had to stop and pick up an item at the store that took .15 hour they restart their trip it took 1.5 hours to get to town which is 90 came away from town see what was a numerical value for the average speed of the trip

Answers

Answer:

   v = 72 km / h

Explanation:

The definition of average speed is the distance traveled between the time interval

          v = Δx / Δt

let's find the distance traveled

       x = 60 + 30

       x = 90 km

time spent, all time must be included, travel time and when stopped

       t = 0.45 + 0.15 + 0.5+ 0.15

       t = 1.25 h

we substitute in the initial equation

      v = 90 / 1.25

       v = 72 km / h

in going from one city to the other

1 point
(e) When food is eaten, some of the radiation the food emits is detectable
outside the body. Which type of radiation would not be detectable outside
the body? Tick one box.*
alpha
beta
gamma

Answers

Answer:

alpha radiation

Explanation:

e ) Alpha particles can not be detected outside body as it can not penetrate the layer of skin of our body .

So correct answer is "alpha radiation" .

A. PE= Maximum, KE = Minimum

B. PE= Minimum, KE = Maximum

C. PE= Increasing, KE= Decreasing

D. PE=Decreasing, KE = Increasing

Answers

Answer:

Explanation:

im confused

Answer:. B

Explanation: how this helps sry if I'm wrong

construction, principal and working of electric motor​

Answers

A power supply A basic motor has a DC power source, in general. It supplies power for the motor or field coils armature. Field Magnet can be a permanent magnet or electromagnet The magnetic field tends to generate a torque on the spinning armature coil by virtue of Fleming's lefthand rule.

10,000 W of power is used to move a spoon for 10 s. How much work is done on the spoon?

Answers

Answer:

The work done is 100,000 Joule

Explanation:

Work and Power

Work is the amount of energy transferred by a force.

If both the force F and displacement s are parallel, then we can use the formula:

W = F.s

Power is the amount of energy transferred or converted per unit of time. In the SI, the unit of power is the watt, equal to one joule per second.

The power can be calculated as:

[tex]\displaystyle P=\frac {W}{t}[/tex]

Where W is the work and t is the time.

We know the power needed to move a spoon is P=10,000 Watt and it took a time of t=10 s. The work done on the spoon is calculated by solving for W:

W = Pt

W = 10,000 Watt * 10 sec

W = 100,000 Joule

The work done is 100,000 Joule

which planet has a moon called titan?

Answers

Titan is the largest moon in Saturn.

Answer:

Titan is the largest moon in Saturrn

Explanation:

And only Jupiter's moon Ganymede is larger by 2 percent

What is the answers of this ! Need help I don’t know what to do

Answers

Answer:

1) Mass of Egg Chamber → 35 g = 35 g × 1 kg/(1000 g) = 0.035 kg

2) Average Mass of Grade A Egg       →    56.7 g = 0.056 kg

3) Calculated Mass

Drop Chamber + Egg → (35 + 56.7) g = 91.7 g = 91.7 g × 1 kg/(1000 g) = 0.0917 kg

4) Time of Drop → 1.5 seconds

5) Maximum Velocity of Drop Chamber (v = g·t) → v = 9.8 m/s² × 1.5 s = 14.7 m/s

6) Maximum Momentum of Drop Chamber

(P = m·v) (right before hitting the ground) → p = 0.0917 kg × 14.7 m/s = 1.34799 kg·m/s

7) Final End Momentum of Drop Chamber → After landing, velocity v = 0 m/s

(p = m·v after landing)   [tex]{}[/tex]                              ∴ p = m·v = m × 0 m/s = 0 kg·m/s

8) Impulse on Impact            →   [tex]{}[/tex]             (0 - 1.34799) kg·m/s = 1.34799 kg·m/s

(Δm·v = Final - Initial)

9) Force on Impact    [tex]{}[/tex]           →                 F·t = Δm·v = 1.34799 N·s

(F·t = Δm·v)

Explanation:

A soccer player kicks a ball, changing its momentum by 11\, \dfrac {\text{kg}\cdot \text m}{\text s}11 s kg⋅m ​ 11, start fraction, start text, k, g, end text, dot, start text, m, end text, divided by, start text, s, end text, end fraction. The net force on the ball is 910\,\text N910N910, start text, N, end text.

Answers

Answer:

0.012  seconds

Explanation:

The time at which the soccer player maintain contact with the ball is as follows:

Given that

Change in momentum = 11 kg.m.s^-1

The Net force applied = F = 910 N

Now the following formulas should be applied:

For acceleration:

[tex]a = \frac{\triangle v}{\triangle t} \\\\\triangle v = a \triangle t[/tex]

For momentum

[tex]\triangle p = m\triangle v\\\\\triangle p = ma\triangle t\\\\\triangle p = f\triangle t\\\\\triangle t = \frac{\triangle p}{F}[/tex]

Now

Put  the values to the above formula

= 11 ÷ 910

= 0.012 seconds

Problem solving strategy
Find the total momentum of the following system contains a
duck and three baby ducks moving to the right
If the mass of the duck is 0.5 kg moving with 2m/s and each of
the three ducks has a velocity of 1.5 m/s and a mass of 0.1 kg.

Answers

Answer:

The total momentum of the system is 1.45 kg*m/s.

Explanation:

The total momentum of the system is given by:

[tex] p_{T} = p_{d} + p_{b_{1}} + p_{b_{2}} + p_{b_{3}} [/tex]

[tex] p_{T} = m_{d}v_{d} + m_{b_{1}}v_{b_{1}} + m_{b_{2}}v_{b_{2}} + m_{b_{3}}v_{b_{3}} [/tex]

Where:

m: is the mass

v: is the velocity

d: is for duck

b₁: is for baby duck one

b₂: is for baby duck two

b₃: is for baby duck three

[tex] p_{T} = 0.5 kg*2 m/s + 0.1 kg*1.5 m/s +0.1 kg*1.5 m/s + 0.1 kg*1.5 m/s = 1.45 kg*m/s [/tex]        

Therefore, the total momentum of the system is 1.45 kg*m/s.

I hope it helps you!              

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