At a circus, a human cannonball is shot from a cannon at 15m/s at an angle of 40° above horizontal. She
leaves the cannon 2m off the ground and lands in a net 1m off the ground. What height does she reach?
How much ground distance does she cover?

Answers

Answer 1

Answer:

a

The height is   [tex]H  = 6.74 \  m [/tex]

b

The horizontal distance is  [tex]D  = 23.74 \  m [/tex]

Explanation:

From the question we are told that

  The speed is  [tex]v  =  15 \  m/s[/tex]

  The angle is  [tex]\theta  =  40^o[/tex]

   The height of the cannon from the ground is  h  =  2 m

  The distance of the net from the ground is k  =  1 m

 

Generally the maximum height she reaches is mathematically represented as  

     [tex]H  =  \frac{v^2 sin^2 \theta }{2 *  g }  +  h[/tex]

=>    [tex]H  =  \frac{(15)^2 [sin (40)]^2 }{2 * 9.8}  +  2[/tex]

=>    [tex]H  = 6.74 \  m [/tex]

Generally from kinematic equation  

    [tex]s = ut + \frac{1}{2} at^2[/tex]

Here s is the displacement which is mathematically represented as

         s  =  [-(h-k)]  

    =>  s =  -(2-1)

    =>  s  = -1 m

There reason why s =  -1 m is because upward motion canceled the downward motion remaining only the distance of the net from the ground which was covered during the first half but not covered during the second half

     a =  -g = -9.8

    [tex]u  =  v sin (\theta)[/tex]

So

    [tex]-1 = (vsin 40 )t + \frac{1}{2} * (-9.8) t^2[/tex]

=>  [tex]-4.9t^2 + 9.6418t + 1 = 0[/tex]

using  quadratic formula to solve the equation we have

    [tex]t  =  2.07 \  s[/tex]

Generally distance covered along the horizontal is  

   [tex]D  =  v cos (40) *  2.07[/tex]

=>   [tex]D  =  15 cos (40) *  2.07[/tex]

=>   [tex]D  = 23.74 \  m [/tex]


Related Questions

A physical change is a change to the physical properties of a substance. This type of change does
not change the nature of the substance. *

Answers

Answer:

False

Explanation:

why do some objects fall faster than others?

Answers

Answer:

Weight and Mass !!!!!!

Explanation:

Galileo discovered that objects that are more dense, or have more mass, fall at a faster rate than less dense objects, due to this air resistance. A feather and brick dropped together. Air resistance causes the feather to fall more slowly.

23 14
2. Calculate: You can use trigonometry to find the initial horizontal and vertical components of the ball's
velocity. Take out your calculator now. Click Reset, and turn off Show velocity vector and Show velocity
components. Set Vinitial to 50.0 m/s and 8 to 60.0 degrees.
A.
To calculate vy, multiply Vinitial by the cosine of the angle: V = Viral · cos(O):
B. To calculate vy, multiply Vmisial by the sine of the angle: v, = Vinitial sin(C):
C. Turn on Show velocity components. Were you correct?

Answers

Answer:

(A). The horizontal initial velocity is 25 m/s.

(B).  The vertical initial velocity is 43.3 m/s.

(C). The velocity component is

[tex]u_{x}=u\cos\theta[/tex]

[tex]u_{y}=u\sin\theta[/tex]

Explanation:

Given that,

Initial velocity = 50.0 m/s

Angle = 60°

We need to calculate the component of velocity

Using formula of component

(A). Horizontal initial velocity

[tex]\cos\theta=\dfrac{u_{x}}{u}[/tex]

Put the value in to the formula

[tex]\cos60=\dfrac{u_{x}}{50}[/tex]

[tex]u_{x}=50\times\cos60[/tex]

[tex]u_{x}=25\ m/s[/tex]

(B). Vertical initial velocity

[tex]\sin\theta=\dfrac{u_{y}}{u}[/tex]

Put the value in to the formula

[tex]\sin60=\dfrac{u_{y}}{50}[/tex]

[tex]u_{y}=50\times\sin60[/tex]

[tex]u_{y}=43.3\ m/s[/tex]

The velocity component is

[tex]u_{x}=u\cos\theta[/tex]

[tex]u_{y}=u\sin\theta[/tex]

Hence, (A). The horizontal initial velocity is 25 m/s.

(B).  The vertical initial velocity is 43.3 m/s.

(C). The velocity component is

[tex]u_{x}=u\cos\theta[/tex]

[tex]u_{y}=u\sin\theta[/tex]

If you push on an object with 10 N to the right and your friend pushes with 20 N to the left, what direction will the object move?

Answers

Answer:

The answer is left

Explanation:

because 20N is greater Then 10N

To determine the amplitude of a wave you need to know the

Answers

You need to know the height of the wave to the crest and the height of the wave to the resting position

Modern isotopic counting is done by ___.
A. Microscope
B. Accelerator mass spectrometer
C. Balance
D. Scanning electron microscope

Answers

B. Accelerator mass spectrometer

Accelerator mass spectrometers are used in modern isotope counting.

So, option B. is correct.

Define isotopes.

Isotopes are two or even more kinds of atoms with the same atomic masses but differing nucleon numbers leading to varying numbers of neutrons within their nuclei.

Accelerator mass spectrometry would be a type of mass spectrometry in which ions are accelerated to extremely high kinetic energy before being analyzed for mass.

Accelerator mass spectrometers are used in modern isotope counting.

Option B. is correct.

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The real advantage to hydrostatic weighing is that it __________.
A.
can be done anywhere with no equipment
B.
gives one of the most accurate measurements of body fat
C.
uses calipers to measure body fat

Answers

The real advantage to hydrostatic weighing is that it gives one of the most accurate measurements of body fat.

It should be noted that the real advantage to hydrostatic weighing is that it gives one of the most accurate measurements of body fat.

What is Hydrostatic weighing,?

Hydrostatic weighing can be regarded as underwater weighing which is very good and accurate ways to measure body fat.

Therefore, option B is correct.

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I need help for this displacement question.

Answers

Answer:

577656.0

Explanation:

36 In the given circuit, A, B, C and D are four lamps connected with a battery of

60V.

Analyse the circuit to answer the following questions.

(i) What kind of combination are the lamps arranged in (series or parallel)?

(ii) Explain with reference to your above answer, what are the advantages (any

two) of this combination of lamps?

(iii) Explain with proper calculations which lamp glows the brightest?

(iv) Find out the total resistance of the circuit.​

Answers

A parallel circuit, is one which the conductors leading into the bulbs are joined together on one side of the bulbs, and the conductors coming out of the bulbs are joined together on the other side of the bulb

The correct arrangement, advantages, lamp and resistance values are;

(i) The lamps are arranged in parallel(ii) Improved reliability Optimum performance of the bulbs(iii) Lamp C(iv) The total resistance is 4 Ω

The reason the above values are correct are as follows:

(i) From the diagram attached, the lamps are arrange in parallel

This is so because, each lamp is directly connected across the terminals of the the voltage source

(ii) The advantages of the bulbs arranges in parallel are;

The other lamps will continue working if one lamp becomes faultyThe voltage is applied directly to each lamp, such that the lamps are lit with the maximum power available in the circuit

(iii) The brightness of the lamp is given by the power of the lamp

The lamp with the highest wattage, or power glows the most

Power, P = Voltage, V × Current, I

The power for lamp A, [tex]P_A[/tex] = 60 V × 3 A = 180 W

The power for lamp B, [tex]P_B[/tex] = 60 V × 4 A = 240 W

The power for lamp C, [tex]P_C[/tex] = 60 V × 5 A = 300 W (Brightest)

The power for lamp D, [tex]P_D[/tex] = 60 V × 3 A = 180 W

Therefore, lamp C has the highest power and glows the brightest

(iv) The total resistance is given by the voltage, divided by the total current

Total current, I = 3 A + 4 A + 5 A + 3 A = 15 A

[tex]Total \ resistance, \ R_{tot} = \dfrac{V}{I_{tot}}[/tex]

Therefore;

[tex]Total \ resistance, \ R_{tot} = \dfrac{60 \, V}{15 \, A }}=4 \, \Omega[/tex]

The total resistance, R = 4 Ω

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if a big stone and a small stone is dropped simultaneously from the certain height. they fall together why??​

Answers

Because it takes more force to accelerate a mass, and gravity exerts more force on a greater mass.  So every object winds up with the same acceleration.  

And THAT, of course, says that all objects in the same gravity will pick up the same speed in the same time, and fall the same distance in the same time.

What is the mass of a bowling ball if a 48 Newton force is accelerating the bowling ball
3m/s22
16 kg
0 45 kg
51 kg
144 kg
Next​

Answers

Answer: The answer is 16Kg

Explanation:If you use the formula for mass, mass=force/acceleration and plug the numbers into the formula, 48/3 you would get

16Kg

from problem 2,suppose another boy, boy C pulls the heavy cabinet with 5N of force in the same direction with boy A

1. what will be the net foece on the cabinet?
2. will the cabinet move?
3. in what direction will the cabinet move?​

Answers

Answer:

Searching in Google I found that in problem 2 were two boys pulling the heavy cabinet, a Boy A pulling in the left direction with 10 N of force, and a boy B pulling in the right direction with 5 N.  

1. F = 10 N

2. Yes, it will move.

3.  It will move to the left direction of the cabinet (same direction as the boys A and C).

           

Explanation:

Searching in Google I found that in problem 2 were two boys pulling the heavy cabinet, a Boy A pulling in the left direction with 10 N of force, and a boy B pulling in the right direction with 5 N.  

1. Hence, if another boy (C) pull in the same direction as the boy A with 5 N of force, we have:

[tex] \Sigma F = F_{A} + F_{C} - F_{B} [/tex]

[tex] \Sigma F = 10 N + 5 N - 5 N = 10 N [/tex]

The net force on the cabinet is 10 N.

2. Yes, the cabinet will move. From point 1 we can deduce that the cabinet will move since the net force on the cabinet is different from zero (10 N).                    

3. The direction of the motion is the same as the Boys A and C, that is to say, to the left of the cabinet.      

I hope it helps you!

The net force acting on an object, is the vector sum of all the forces acting on it

The correct values for the forces acting on the cabinet are;

1. The net force on the cabinet is 10 N

2. Yes, the cabinet will move

3. The cabinet will move in the direction of boy A and boy C

The reason the above values are correct are as follows:

Question: The possible missing part of the question is; In problem 2 boy A is pulling a heavy cabinet with [tex]F_A[/tex] = 10 N force, and boy B is pulling the same cabinet at the same time and in opposite direction with a force of [tex]F_B[/tex] = 5 N

The known parameter:

The force with which boy C pulls the heavy cabinet = 5 N

The direction in which boy C pulls the cabinet = The same direction as boy A

Question 1. The net force on the cabinet, [tex]F_{NET}[/tex] is given as follows;

Taking the direction of the force of boy A as the positive direction, we have;

[tex]\overset \longrightarrow {F_A}[/tex] = 10 N

[tex]\overset \longrightarrow {F_B}[/tex] = - 5 N

[tex]\overset \longrightarrow {F_C}[/tex] = 5 N

[tex]\overset \longrightarrow {F_{NET}}[/tex] = [tex]\overset \longrightarrow {F_A}[/tex] + [tex]\overset \longrightarrow {F_B}[/tex] + [tex]\overset \longrightarrow {F_C}[/tex]

[tex]\overset \longrightarrow {F_{NET}}[/tex] = 10 N + (-5 N) + 5 N = 10 N

The net force on the cabinet, [tex]\overset \longrightarrow {F_{NET}}[/tex] = 10 N

Question 2. Yes: Given that there is a net force acting on the cabinet, according to Newton's first law of motion, in the absence of friction force, the cabinet will move in the direction of the net force of 10 Newton

Question 3. The cabinet will move in the direction of the net fore

The direction of the net force is the direction boy A and boy C are pulling the cabinet

Therefore, the cabinet will move in the direction boy A and boy C are pulling the heavy cabinet

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How long will it take to travel 84 miles if
you are traveling at a constant 70 miles
per hour?

quick omg ‼️ please

Answers

Answer:

The answer is 1.2 hours

Explanation:

To find the time taken given the velocity and distance covered we use the formula

[tex]t = \frac{d}{v} \\ [/tex]

where

t is the time

d is the distance covered

v is the velocity

From the question

d = 84 mi

v = 70 mi/h

We have

[tex]d = \frac{84}{70} = \frac{6}{5} \\ [/tex]

We have the final answer as

1.2 hours

Hope this helps you

An hour and 12 minutes

For sediment to be transformed into rock, which set of processes must take place?


crystallization and solidification


weathering and erosion


compaction and cementation


melting and spreading

Answers

Answer:

C. compactation and cementation or A. crystallization and solidification

Explanation:

Answer:

i think its a sorry if im whrong and good luck! :)

Kind of energy that an object has due to its motion.

Answers

Answer:

The energy an object has due to its motion is called kinetic energy

Explanation:

Factors Affecting Kinetic Energy: the kinetic energy of an object depends on both its speed and its mass.

Answer:

kinetic energy

Explanation:

In physics, the kinetic energy (KE) of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body when decelerating from its current speed to a state of rest.

Define kinetic energy and thermal energy. Describe what happens to each as the temperature of a substances increases.

Answers

Answer:

All matter is made up of particles that are constantly moving. The motion of the particles results in kinetic energy. The part of total internal energy that can be transferred is thermal energy. As temperature increases, the particles in a substance move faster and have greater kinetic and thermal energy.

Explanation:

A whale swims at a constant speed of 8 m/s for 17 s. What distance did the whale travel in km?

Answers

Answer:

0.136 km

Explanation:

whale speed = 8 m/s for 17 sec.

find distance traveled in km

distance = velocity x time

              = 8 m/sec. x 17 sec.

              = 136 meters  x        1   km      

                                           1000 meters

              =  0.136 km

   

A baseball traveling at a velocity of 35 m/s has a mass of
0.15 kg. What is the kinetic energy of the baseball?

Answers

Answer:

35 m/s = v KE= 1/2 m x v^2. 89= m x 1224

89 J = KE 89 = 1/2 (m) x (35)^2. m = 0.15 kg.

what are three properties of magnets ​

Answers

Attractive Property – Magnet attracts ferromagnetic materials like iron, cobalt, and nickel.
Repulsive Properties – Like magnetic poles repel each other and unlike magnetic poles attract each other.
Directive Property – A freely suspended magnet always points in a north-south direction.

Have a good day!

a soccer player kicks a ball with an initial velocity of 10 meters per second at an angle of 30 degrees

Answers

Answer:

Did you make a diagram?

Make your hypotenuse 10 and the base angle 30°

find the length of the adjacent side using

10cos30°

Explanation:

Answer:

A soccer player kicks a ball with an initial velocity of 10.0 meters per second at an angle of 30.0° above the horizontal. The magnitude of the horizontal component ofthe ball's initial velocity is which of the following?

9.8 m/s

0.50 m/s

15 m/s

7.4 m/s

Explanation:

Which of the following would be considered a lever?
a screw cap
a seesaw
an axe
a windmill

Answers

Answer:

A seesaw

Explanation:

Answer:

a seesaw

Explanation:

Determine the launch speed of a horizontally launched projectile that lands 26.3 meters from the base of a 19.3-meter high cliff and takes 5 seconds to land.​

Answers

Answer:

The launch speed is approximately 13.28 m/s

Explanation:

The given parameters are;

The distance from the base of the cliff the projectile lands = 26.3 meters

The height of the cliff, s = 19.3 meters

The time it takes the projectile to land = 5 seconds

The direction of the projectile = Horizontal

The vertical motion of the projectile is given as follows;

19.3 = 1/2 × g × t² = 1/2 × 9.81 × t²

t = √(2 × 19.3/9.81) ≈ 1.98 seconds

Therefore, the time it takes to land ≈ 1.98 seconds

The launch (horizontal) speed = (The horizontal distance)/(Horizontal time)

The launch (horizontal) speed = 26.3/1.98 ≈ 13.28 m/s.

The launch speed of a horizontally launched projectile is equal to 13.22 m/s.

Given the following data:

Time = 5 seconds.Height = 19.3 metersHorizontal distance = 26.3 meters.

To determine the launch speed of a horizontally launched projectile:

First of all, we would calculate the time it took the projectile to land at the base of the cliff by using the maximum height formula:

[tex]H = \frac{1}{2} gt^2[/tex]

Making t the subject of formula, we have:

[tex]t=\sqrt{\frac{2H}{g} }[/tex]

Substituting the given parameters into the formula, we have;

[tex]t=\sqrt{\frac{2\times 19.3}{9.8} }\\\\t=\sqrt{\frac{38.6}{9.8} }\\\\t=\sqrt{3.94}[/tex]

Time, t = 1.99 seconds

Next, we would determine the launch speed by using the formula:

[tex]Horizontal\;speed = \frac{horizontal\;distance}{time} \\\\Horizontal\;speed = \frac{26.3}{1.99}[/tex]

Horizontal speed = 13.22 m/s

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A construction worker drops a brick off a high scaffold. If the brick lands 5.0 s later, how fast was the brick travelling the instant before hitting the ground?

Answers

Answer:

The brick was traveling at 49 m/s the instant before hitting the ground.

Explanation:

When an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value is [tex]g = 9.8 m/s^2[/tex].

The final velocity of a free-falling object after a time t is given by:

[tex]vf=g.t[/tex]

The distance traveled by a dropped object is:

[tex]\displaystyle y=\frac{gt^2}{2}[/tex]

The brick takes 5 seconds to land from the high scaffold. The speed at which it lands is:

[tex]vf=9.8\cdot 5[/tex]

vf=49 m/s

The brick was traveling at 49 m/s the instant before hitting the ground.

Plz answer quick this is science

Answers

The answer is erosion

a kid throws a ball from a tower 45 meters tall how fast is the ball going when it hits the ground?

Answers

Answer:

29.69 m/s

Explanation:

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

Height (h) = 45 m

Velocity (v) =...?

Next, we shall determine the time taken for the ball to get to the ground. This can be obtained as follow:

Height (h) = 45 m

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

Time (t) =?

h = ½gt²

45 = ½ × 9.8 × t²

45 = 4.9 × t²

Divide both side by 4.9

t² = 45/4.9

Take the square root of both side

t = √(45/4.9)

t = 3.03 s

Finally, we shall determine the velocity with which the ball hits the ground. This is illustrated below:

Initial velocity (u) = 0 m/s

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

Time (t) = 3.03 s

Final velocity (v) =.?

v = u + gt

v = 0 + (9.8 × 3.03)

v = 0 + 29.694

v = 29.694 ≈ 29.69 m/s

Therefore, the ball hits the ground with a velocity of 29.69 m/s.

Planets A and B have the same size, mass, and direction of travel, but planet
A is traveling through space at half the speed of planet B. Which statement
correctly explains the weight you would experience on each planet?
A. You would weigh the same on both planets because their masses
and the distance to their centers of gravity are the same.
B. You would weigh less on planet B because it is traveling twice as
fast as planet A.
C. You would weigh the same on both planets because your mass
would adjust depending on the planet's speed.
D. You would weigh more on planet B because it is traveling twice as
fast as planet A.

Answers

Answer: A

Explanation:

Answer:

A. You would weigh the same on both planets because their masses and the distance to their centers of gravity are the same.

Explanation:

A pe x :)

which one is deposition plz help
1. Your wet hair dries after a few minutes
2. The mirror gets fogged up when you breathe on it
3. Liquid glass cools and hardens

Answers

Deposition is when a gaseous state changes to solid state by escaping liquid state. So I think it is 3. Liquid glass cools and hardens

Which mineral is commonly found in igneous rocks?
A. halite
B. feldspar
C. gypsum
D. talc

Answers

Answer:

d

Explanation:

An evacuated long tube contains a coin and a feather. If both objects fall together starting from the top of the tube, it is expected that: If this experiment is repeated at a place 2000 kilometers above the sea-level, the acceleration due to gravity gexp is expected to :

Answers

Answer:

gexp = 3.65 m/s²

Explanation:

The value of acceleration due to gravity changes with the altitude. The following formula gives the value of acceleration due to gravity at some altitude from the sea level:

gexp = g(1 - 2h/Re)

where,

gexp = expected value of g at altitude = ?

g = acceleration due to gravity at sea level = 9.8 m/s²

h = altitude = 2000 km = 2 x 10⁶ m

Re = Radius of Earth = 6.37 x 10⁶ m

Therefore,

gexp = (9.8 m/s²)(1 - 2*2 x 10⁶ m/6.37 x 10⁶ m)

gexp = 3.65 m/s²

A box has a mass 40 kg
what is the weight of box ????

Answers

Answer:

mass = 40 kg

g = 9.8 m/s²

weight = mg

= 40 x 9.8

= 392 N

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