A slingshot is fired with an initial velocity of 100 m/s at an angle of 55° follows a parabolic trajectory and hits a stationary balloon at the top of its path. With what horizontal speed does the slingshot pebble hit the balloon?

Answers

Answer 1

Answer:

The horizontal speed with which the slingshot hits the balloon is approximately 57.358 m/s

Explanation:

The given parameters of the slingshot motion are;

The initial velocity of the slingshot, v = 100 m/s

The angle (to the horizontal) at which the slingshot is fired makes, θ = 55°

The path of the slingshot which hits the stationary balloon at the top of its flight = Parabolic trajectory

The horizontal component of the velocity = vₓ = v·cos(θ) = Constant

vₓ = 100 × cos(55°) ≈ 57.358

The horizontal speed with which the slingshot hits the balloon = vₓ ≈ 57.358 m/s.


Related Questions

Look at the chemical equation. There is a number in the chemical equation that is not a subscript. What do you think the number 2 on the right side of the chemical equation represents?

H2 + Cl2 → 2HCl

Answers

Answer:

Number of moles or volume

Explanation:

The number 2 on the right hand side signifies the number of moles of the product being formed.

It is necessary to include this number so as not to flout the law of conservation of mass when writing a chemical equation. The law of conservation of mass states that "matter is neither created nor destroyed during the course of a chemical reaction".

Since we must have equal number of matter on both sides of the expression, the coefficient number like the 2 seen in the expression is used to create a balance.

Here, 2 moles of HCl is formed which consists of 1 hydrogen atom and 1 chlorine atom.

Describe how the wavelength of a wave changes if the wave slows down but its frequency does not change.

Answers

Answer:

If the wave slows down with no change in frequency, the wavelength decreases.

If the wave slows down with no change in frequency, then the wavelength decreases.

What is a wave?

A wave is defined as the disturbance that has the ability to transfer energy from one point to another in a medium.

The properties of a wave are given as;

Wavelength can be defined as the distance that is observed between adjacent points in an identical cycle of a waveform.

Frequency is the number of cycles of a wave that can occur per minute time.

Time period can be defined as the time it takes for a complete cycle of wave to occur.

Wave speed can be defined as the distance a wave travels in a given amount of time.

Amplitude can be defined as the distance from the centre line (or the still position) to the top of a crest or to the bottom of a trough.

When there is a change in the speed of the wave then the length of the wave would decrease.

Learn more about wavelength here:

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Can someone help me find the initial velocity?

Answers

Answer:

[tex]v_i=4.12\ m/s[/tex]

Explanation:

Given that,

Final velocity, [tex]v_f=0\ m/s[/tex]

Acceleration, [tex]a=-9.8\ m/s^2[/tex]

Displacement, [tex]\Delta x = 0.87\ m[/tex]

We need to find the initial velocity of the large hopper.

Using the third equation of motion as follows :

[tex]v_f^2=v_i^2+2a\Delta x\\\\0=v_i^2+2\times (-9.8)\times 0.87\\\\v_i^2-17.052=0\\\\v_i=4.12\ m/s[/tex]

So, the initial velocity of the large hopper is 4.12 m/s.

Which are parts of a neuron?

Golgi complex
axon
mitochondria
dendrites
myelin sheath
membrane

Answers

Axon
Dendrites
Myelin sheath
I think that those are enough

Your friend tells you that if you double the distance of a spacecraft from the planet, the gravitational force is one half as strong. Do you think this is correct?

Answers

Answer:

No. When the distance is doubled, the gravitational force is 1/4 times as strong, therefore, the correct answer is she is not correct

Explanation:

The gravitational force is given as follows;

[tex]F} =G \times \dfrac{m_{1} \times m_{2}}{r^{2}}[/tex]

Where;

m₁, and m₂ are the masses sharing the gravitational field

G = The universal gravitational constant

r = The distance between the centers of the two masses

Therefore, when the new distance, R = 2 × r, we get;

[tex]F} =G \times \dfrac{m_{1} \times m_{2}}{R^{2}} = G \times \dfrac{m_{1} \times m_{2}}{(2 \times r)^{2}} = G \times \dfrac{m_{1} \times m_{2}}{4 \times r^{2}} = \dfrac{1}{4} \times G \times \dfrac{m_{1} \times m_{2}}{r^{2}}[/tex]

Therefore, when the distance is doubled, the gravitational force is one fourth as strong, therefore, she is not correct.

what is the value of sin square 60​

Answers

[tex] \sin(60 ) {}^{2} = \frac{3}{4} [/tex]

Explanation:

[tex] \sin(60) = \frac{ \sqrt{3} }{2} \\ \\ \sin(60 ) {}^{2} = ( \frac{ \sqrt{3} }{2} ) {}^{2} \\ \\ \sin(60 ) {}^{2} = \frac{3}{4} [/tex]

how will you relate yourself to stellar evolution?

Help please
At least 70 words
Asap

Answers

Answer:

Stellar evolution is the process by which a star changes over the course of time. Depending on the mass of the star, its lifetime can range from a few million years for the most massive to trillions of years for the least massive, which is considerably longer than the age of the universe. The table shows the lifetimes of stars as a function of their masses.[1] All stars are formed from collapsing clouds of gas and dust, often called nebulae or molecular clouds. Over the course of millions of years, these protostars settle down into a state of equilibrium, becoming what is known as a main-seque

Course Task

As I sat under an Oak tree I recognized some similar comparisons to what Isaac Newton saw under his apple tree.
I saw three different objects fall to the ground…an acorn, a leaf, and a small stick. I wondered how and why they fell the way they did. The stick fell from the very top of the tree and seemed to almost “slow down” about half way down. The acorn got faster all the way to the ground. Yet the leaf would just float back and forth in a calm rhythm like motion.
Furthermore, I could see the moon sitting up in the sky just waiting to peak over the trees at dark.
How is it that all objects are apparently affected by the earth’s gravity but they seem to respond differently? If gravity is a force that affects all objects…shouldn’t all objects respond the same? Interesting Phenomenon huh….

Can you explain what is happening with each of these four objects (including the moon)?

Answers

Answer:

gravity effects only the mass of an object

Explanation:

an acorn is heavier that a stick and it's round shape gives it less wind resistance so gravity pulls it down faster. A stick vertical has little wind resistance but when rotated to when it is horizontal it has more resistance so it slows down but the the force of gravity is still as strong. A leaf has very little mass and it's shape provideds lots of wind resistance so it falls slower. The moon is not only effected by the earth's gravity it is also effected by the suns. It has its own gravity as well. with all these factors it stays in place and moves with the earth.

Brlan is repairing an old alarm clock. He needs to replace a device that converts the electric energy into sound energy. Which of these devices
should he use?
OA.
O B.
C.
battery
buzzer
motor
Switch

Answers

The answer is buzzer

Hi, I'm trying to figure out #17 but I am having trouble on how to solve it. Any help would be greatly appreciated! Thank you. ​

Answers

Answer:

The mechanical advantage of the wheelbarrow is the product of the mechanical advantage of the lever, and the mechanical advantage of the wheel and axle. Therefore, the wheelbarrow has a mechanical advantage of 4.

hope this helps :D

1. State any ten examples of good conductors of heat.
2. Write down five uses of good conductors.​

Answers

Answer:

Examples of Good conductors of heat are,

Gold

Sliver

Copper

Mercury

brass

bronze

Lead

Aluminum

Uses of good conductors of heat

Used for making kettles

Used for making sauce pans

Good Uses:

Utensils Food can be cooked Water can be boiledHomes can be warmed Shirts can be ironed

Conductors of Heat:

AluminumLeadBrassBronze MercuryGoldSliver Copper

HELP ME PLEASEEE


The gravitational force between two electrons 1.0 m apart is 5.42 x 10^-71. Find the mass of the electron.

Answers

Answer:

[tex]9.01\times 10^{-31}\ kg[/tex]

Explanation:

Given that,

The gravitational force between two electrons is [tex]5.42\times 10^{-71}\ N[/tex]

The electrons are 1 m apart.

The formula for the gravitational force is given by :

[tex]F=G\dfrac{m^2}{r^2}[/tex]

Where

m is the mass of the electrons

[tex]m=\sqrt{\dfrac{Fr^2}{G}} \\\\m=\sqrt{\dfrac{5.42\times 10^{-71}\times 1^2}{6.67\times 10^{-11}}} \\\\m=9.01\times 10^{-31}\ kg[/tex]

So, the mass of the electron is [tex]9.01\times 10^{-31}\ kg[/tex].

an object is thrown with an initial horizontal velocity of 10 meters per second and take approximately 9 seconds to reach the ground.considering air resistance to be negligible. what horizontal distance did the object travel​

Answers

The horizontal velocity was constant, so:

[tex]s = vt[/tex]

[tex]s = 10\cdot9[/tex]

[tex]s = 90[/tex]

it traveled 90meters

Olivia wants to find out whether a substance will fluoresce. She says she should put it in a microwave oven. Do you agree with her? Why or why not?

Answers

Answer:

The correct answer is - Disagree with her.

Explanation:

Fluorescence substances are the substances that glow when they absorbed visible light and ultraviolet radiation and objects will glow when put under Ultraviolet light and makes the molecules excited.

Microwaves have a different wavelength than ultraviolet radiation and therefore does not able to excite the molecule of the fluorescent objects. The microwave radiation will not glow.

Thus, the correct answer is - disagree with her.

A 600kg car is at rest, and then it accelerates to 5 m/s.
What is the original kinetic energy?
What is its final kinetic energy?
How much work was used?

Answers

Answer:

1. 0 J

2. 7500 J

3. 7500 J

Explanation:

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

Mass (m) of car = 600 Kg

Initial velocity (v₁) of car = 0 m/s

Final velocity (v₂) of car = 5 m/s

Original kinetic energy (KE₁) =?

Final kinetic energy (KE₂) =?

Work used =?

1. Determination of the original kinetic energy.

Mass (m) of car = 600 Kg

Initial velocity (v₁) of car = 0 m/s

Original kinetic energy (KE₁) =?

KE₁ = ½mv₁²

KE₁ = ½ × 600 × 0²

KE₁ = 0 J

Thus, the original kinetic energy of the car is 0 J.

2. Determination of the final kinetic energy.

Mass (m) of car = 600 Kg

Final velocity (v₂) of car = 5 m/s

Final kinetic energy (KE₂) =?

KE₂ = ½mv₂²

KE₂ = ½ × 600 × 5²

KE₂ = 300 × 25

KE₂ = 7500 J

Thus, the final kinetic energy of the car is 7500 J

3. Determination of the work used.

Original kinetic energy (KE₁) = 0

Final kinetic energy (KE₂) = 7500 J

Work used =?

Work used = KE₂ – KE₁

Work used = 7500 – 0

Work used = 7500 J

What's a cars net force if it's mass is 1500 kg and has a acceleration of 2 m/s (In Newton’s)

Answers

Answer: 3,000 N

Explanation:

F = mass x acceleration

F = (1500 kg)(2 m/s²)

F = 3000 N

A car with a mass of 1,200 kg has a
velocity of 30 m/s west. What is the car's
momentum?

Answers

Answer:

slow

Explanation

because it weighs 1,200 kg and has a velocity of 30 m/s west. with all the friction causing it to become slower.

Hiiii guyssss please help meeee :)

Answers

The order should be: 20 glass mugs, 10 porcelain tea cups, 2 glass cups, and then 5 plastic cups.

Explanation:

You take the original mass of one single object, and then multiply it by the total number of that specific object. Hope this helps!

2- A car spends two hours driving at 20 km/h, and then an hour driving at 50 km/h.
What is the average speed of the car?
A. 50 km/h
B. 45 km/h
C. 35 km/h
D. 30 km/h
Please I need the answer of this

Answers

The answer is c
To find average you need to add the numbers given and divide by what the question says

For example you add 20 and 50 which gives you 70 then you divide by 2 which gives you 35 km/h

The average speed of the car is 35 km/hr.

To calculate the average speed, the given values of speed are:

x = 20 km / hr

y = 50 km / hr

What is average speed and how it was calculated?

  If two objects are in motion, the distance by those two objects at any  particular interval of time is said to be average speed.

The unit of average speed is m/s or km/hr.

For this particular question, the formula to find the average speed from the given speed is,

                     Average speed =  ( x + y ) / 2

                                                =  ( 20 + 50 ) / 2

                                                = 70 /2

                                                = 35 km / hr.

Thus, Average speed can be calculated as 35 km/hr.

So, the Option C is the correct answer.

Learn more about Average speed,

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for the same force why does a long cannon impart more speed to a cannonball than a short cannon

Answers

Answer:

The force is applied for a longer time in the long cannon.

In this reaction diagram which part represents the doffrence in energy between the reactants and the products?

Answers

Answer:

The correct answer is - option C. G.

Explanation:

In this reaction diagram, there is a representation of the reaction profile. The reaction profile shows the change that takes place during a reaction in the energy of reactants or substrate and products. In this profile, activation energy looks like a hump in the line, and the minimum energy required to initiate the reaction.

The overall energy of the reaction, including or excluding activation energy depends on the nature of the reaction if it is exothermic or endothermic. and products are represented by the G which shows the difference between the energy of the reactants and products.

Answer:

C.) G

Explanation:

:p

9. Suppose you want to calculate how much
work it takes to lift a 160 N barbell. Besides
the mass of the barbell, what other
information do you need to know?
a.the shape of the weights
b.how high the barbell is being lifted
c. the strength of the person doing the lifting
d.the volume of the barbell

Answers

Answer:

The correct option is;

b. How high the barbell is being lifted

Explanation:

The work done in lifting the 160 N barbell is equal to the potential energy gained by the barbell in the final elevated position of the barbell

Therefore, in order to find the work done to lift the barbell, we can calculate the potential energy gained by the barbell when it is placed at height

The work done to lift the barbell = The potential energy, P.E., gained by the barbell

The potential energy of an object, P. E. = The mass of the object, m × The acceleration due to gravity, g × The height to which the barbell is lifted, h

∴ Mathematically, P.E. = m × g × h

Weight, W = Mass, m × The acceleration due to gravity, g

The weight, W of the barbell is given as W = 160 N

∴ W = m × g = 60 N

From which we have;

P.E. = m × g × h = W × h

∴ The work done to lift the barbell = P.E. = 60 N × h = 60 N × The height to which the barbell is lifted.

Therefore the information which need be known is the height to which the barbell.

A block is on a surface with us=0.276. It takes 1.11 N to break it free from static friction. What is the mass of the block?

Answers

Answer:

m = 0.409 [kg].

Explanation:

The friction force is defined as the product of the coefficient of friction by the normal force. In this way, we have the following equation.

F = μ*N

Where:

F = friction force = 1.11 [N]

μ = static coefficient = 0.276

N = Normal force [N]

We can clear the normal Force.

[tex]N=F/u\\N=1.11/0.276\\N=4.02[N][/tex]

And the normal force of a body lying on a horizontal surface, can be calculated by means of the product of mass by gravitational acceleration.

[tex]N=m*g\\4.02=m*9.81\\m=0.409[kg][/tex]

Answer:

.409

Explanation:

its the right answer for acellus

A penguin drops a fish off a cliff and times how long it takes for the fish to land at the bottom of the cliff. Neglecting air resistance, how high is the cliff if it
takes 9.2 seconds for the fish to land at the bottom of the clift? Give the answer in feet.

Answers

Answer:

1360.3ft

Explanation:

Given parameters:

Time taken for the fish to land  = 9.2s

Unknown:

Height of the cliff  = ?

Solution:

To solve this problem, we use one of the kinematics equation:

  S = Ut  + [tex]\frac{1}{2}[/tex] g t²  

 S is the height

 U  is the initial velocity  = 0m/s

 g is the acceleration due to gravity  = 9.8m/s²

t is the time taken  

So;

 S  = (0 x 9.2)  + ([tex]\frac{1}{2}[/tex] x 9.8 x 9.2²)   = 414.7m

            1m  = 3.28ft

       414.7m  = 414.7 x 3.28 = 1360.3ft

A ship sails north for 2 hours, traveling a total of 15 miles. Then the ship turns south and travels 6 miles in an hour.

If north is taken as the positive direction, what is the velocity of the ship?


7 miles per hour ,

3 miles per hour ,

–3 miles per hour ,

–7 miles per hour

Answers

Answer:

3 miles per hour

Explanation:

Displacement is the overall change in distance or position of an object. It is the shortest distance from the starting point to the ending point. Displacement is a vector quantity.

Velocity is the time rate of change in displacement, it is the ratio of the total displacement to the total time taken. It is given by the formula:

Velocity = displacement / time

The ship sails north for 2 hours, traveling a total of 15 miles. Then the ship turns south and travels 6 miles in an hour.

The total displacement = shortest distance from initial to final point = 15 miles - 6 miles = 9 miles

Total time = (2 hours) + (1 hour) = 3 hours

Velocity = displacement / time = 9 miles / 3 hours = 3 miles per hour

Answer: 3mph

Explanation:

Please help it’s due soon!!!
Do you think it is possible for two neutral objects to both become positively charged after they are rubbed together? Justify your answer

Answers

Answer:

It is possible for neutral objects to become charged by rubbing them together due to friction. Electrons of one object transfer to the other resulting to more electrons in the object than its protons therefore leaving it as charged

Explanation:

I all ready said it 0>0

Answer:

no

Explanation:

because one itoms becomes positive and the other negative due to the transfer

If mass increases - Force of gravity increases

A. True

B.False

Answers


The answer is True.

What is the correct order of the numbers: {1.45, 0.023, 10, 1.100, 1.00004} in order from lowest to highest (lowest first) number of significant figures.

1.100, 1.45, 10, 0.023, 1.00004
1.00004, 1.100, 0.023, 1.45, 10
10, 0.023, 1.45, 1.100, 1.00004
0.023, 10, 1.45, 1.100, 1.00004

Answers

Explanation:

0.023, 1.0000004, 1.100

PLS HELP I NEED A COMPLETE ANSWER AND PROCEDURE FOR THIS, IT'S TIMED

A motorcyclist heading east through a small town accelerates at a constant 4.0 m/s² after he leaves the city limits. At time t=0 he is 5.0 m east of the city-limits signpost while he moves east at 15 m/s. Where is he when his speed is 25 m/s?

Answers

Answer:

The motorcyclist is 55 miles east of the small town.

Explanation:

Motion With Constant Acceleration

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

The equation that rules 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 given by:

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

Using the equation [1] we can solve for a:

[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]

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

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

The motorcyclist has an acceleration of a=4\ m/s^2 and an initial distance of 5 m where he travels at vo=15 m/s.  It's required to calculate the distance when the speed is vf=25 m/s.

Solving the last equation for X:

[tex]\displaystyle X=\frac{V_f^2-V_o^2}{2a}[/tex]

Substituting:

[tex]\displaystyle X=\frac{25^2-15^2}{2*4}[/tex]

[tex]\displaystyle X=\frac{625-225}{8}[/tex]

X = 50 m

Adding the initial distance:

The motorcyclist is 55 miles east of the small town.

A small angle is measured as 2 arc seconds. How many degrees or what portion of a degree does this represent?

Answers

Answer:

5.56 x 10⁻⁴ degree

Explanation:

1 degree = 60 arc minutes

1 minute = 60 arc second

1 degree = 60 x 60 = 3600 arc second .

3600 arc second = 1 degree

1 arc second = 1 / 3600 degree = 2.78 x 10⁻⁴  degree

2 arc second = 5.56 x 10⁻⁴ degree .

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