A cannonball is launched diagonally with an initial horizontal speed of 51.0m/s
and an initial vertical speed of 24.0m/s. Label the hypotenuse, opposite side and
adjacent side, and determine all unknowns.
m/s
initial speed:
initial horizontal speed:
initial vertical speed:
m/s
m/s
At what angle () was the cannonball launched?

Answers

Answer 1

• initial horizontal speed: 51.0 m/s

• initial vertical speed: 24.0 m/s

• initial speed: √((51.0 m/s)² + (24.0 m/s)²) ≈ 56.4 m/s

• angle: tan(θ) = (24.0 m/s) / (51.0 m/s)   →   θ ≈ 25.2º

Answer 2

Using Pythagoras, the initial speed and the launch angle of the cannon ball are 56.36 m/s and 25.20° respectively.

The initial speed can be obtained using length of the diagonal :

v² = 51² + 24²

v² = 2025

v = √3177

v = 56.36 m/s

The launch angle, θ :

Tanθ = opposite / Adjacent

θ = tan¯¹(24/51)

θ = tan¯¹(0.4705)

θ = 25.20°

Hence, the angle of launch is 25.20°

Learn more : https://brainly.com/question/18766174


Related Questions

Cars have safety features to protect people during a crash. A bumper is one type of safety feature. Which bumper design do
you think is safer?
a bumper that crumples
a bumper that's rigid

Answers

Answer:

Explanation:

second one ??? pls i hope im right

Answer:

A bumper that crumbles (plato)

Explanation:

You used measurements of distance and time to find velocity. When you calculate the uncertainty on your measurements of time, what units will that uncertainty have?a. counts/time b. time^2 c. time d. time/counts

Answers

Answer:

C

Explanation:

The uncertainty will carry the unit of time because it's the time in itself that has error, and not the distance, nor the velocity.

Had it been the uncertainty was to the velocity, then we would say both the unit of the distance and that of the time would have been affected. But as it stands, only that of time will be affected.

What total distance did this student travel?

Answers

Seems like some of your question is missin

Explanation:

What distance did the student start with?? And what distance did the student end with?

A car traveling 13 m/s to the north collides with a car traveling 19 m/s to the
south. Each car has a mass of 1250 kg. If the system is defined as the two
cars, what is the change in momentum of the system due to the collision?
A. 0 kg*m/s
B. 40,000 kg*m/s
O c. 16,250 kg-m/s
D. 23,750 kg-m/s

Answers

Answer: 0kg(m/s)

Explanation:

Which of the following is an example of Newton’s second law of motion?


A.....Catie’s skateboard hits a curb and she falls forward onto the grass.

B.....a tissue and a rock are dropped from a ladder. The rock exerts a greater force when it hits the ground.

C.....a person stands on a chair and pushes down, and the chair pushes upwards on

the person.

D......Tires from a bike push against the road, and the road pushes back.

Answers

Answer:

B

Explanation:

Newton’s Second Law of Motion

Newton’s Second Law of Motion states that ‘when an object is acted on by an outside force, the mass of the object equals the strength of the force times the resulting acceleration’.

This can be demonstrated dropping a rock or and tissue at the same time from a ladder. They fall at an equal rate—their acceleration is constant due to the force of gravity acting on them.

The rock's impact will be a much greater force when it hits the ground, because of its greater mass. If you drop the two objects into a dish of water, you can see how different the force of impact for each object was, based on the splash made in the water by each one.

Answer:

b

Explanation:

A particle moves along the x axis. It is initially at the position 0.180 m, moving with velocity 0.060 m/s and acceleration -0.380 m/s^2. Suppose it moves with constant acceleration for 3.80 s.

Required:
a. Find the position of the particle after this time.
b. Find its velocity at the end of this time interval.

Answers

Answer:

a

  [tex]x_2 = -2.3356[/tex]

b

 [tex]v = -1.384 \ m/s[/tex]

Explanation:

From the question we are told that

  The initial position of the particle is  [tex]x_1 = 0.180 \ m[/tex]

  The initial  velocity of the particle is  [tex]u = 0.060 \ m/s[/tex]

  The acceleration is   [tex]a = -0.380 \ m/s^2[/tex]

   The time duration is  [tex]t = 3.80 \ s[/tex]

Generally from kinematic equation

    [tex]v = u + at[/tex]

=>  [tex]v = 0.060 + (-0.380 * 3.80)[/tex]

=>  [tex]v = -1.384 \ m/s[/tex]

Generally from kinematic equation

   [tex]v^2 = u^2 + 2as[/tex]

Here s is the distance covered by the particle, so

   [tex](-1.384)^2 = (0.060)^2 + 2(-0.380)* s[/tex]

=>  [tex]s = -2.5156 \ m[/tex]

Generally the final position of the particle is  

    [tex]x_2 = x_1 + s[/tex]

=>   [tex]x_2 = 0.180 + (-2.5156)[/tex]

=>   [tex]x_2 = -2.3356[/tex]

what is the correct term for the people who came before us?​

Answers

Answer:

Ancestors!

Explanation:

I know a thing or two~

Answer:

It depends on what the context is, if you mean people that came long before us you might be refering to ancestors, but if you mean people that came before us at any time then you would be refering to a predecessor.

Explanation:

Anuja is holding a stuffed dog, with a mass of 0.30 kg, when Derek decides that he wants it and tries to pull it away from Abuja. If Derek pulls horizontally on the dog with a force of 10.0 N and Anudja pulls with a horizontal force of 11.0 N, what is the horizontal acceleration of the dog?

Answers

Answer:

a = 3.33 m/s²

Explanation:

The horizontal acceleration of the dog can be found by using Newton's Second Law of Motion as follows:

F = ma

where,

F = Unbalanced force applied on the dog = 11 N - 10 N = 1 N

m = mass of the dog = 0.3 kg

a = horizontal acceleration of dog = ?

Therefore,

1 N = 0.3 kg(a)

a = 1 N/0.3 kg

a = 3.33 m/s²

Why do you think the objects in each collision experience a different change in velocity?​

Answers

Answer:

In a collision, there is a collision force which endures for some amount of time to cause an impulse. This impulse acts upon the object to change its velocity and thus its momentum

how was the theory of plate tectonics developed?

Answers

Answer: A conflict between established theory, and empirical evidence, resulting in compromise.



Explanation;

Plate tectonic theory had its beginnings in 1915 when Alfred Wegener proposed his theory of "continental drift." Wegener proposed that the continents plowed through crust of ocean basins, which would explain why the outlines of many coastlines look like they fit together like a puzzle.

Answer:

Plate tectonic theory began in 1915, when Alfred Wegener developed his "continental drift" idea. Wegener believed that continents plowed through ocean basin crust, explaining why many coasts (such as those in South America and Africa) appear to fit together like a puzzle.


Which of the following scenarios best describes Newton's law of action-reaction?
F A bottle of soda sitting in the console of a vehicle appears to move left as the vehicle makes a sharp
right turn.
A rocket moves upward as the engine pushes downward against exhaust gases and the exhaust gases
push upward against the engine.
H
A train traveling 88 kilometers per hour takes approximately one mile to come to a complete stop.
J
An ice skater sharpens the blades of their skates to lessen the effect of friction.

Answers

A rocket moves upward as the engine pushes downward against exhaust gases and the exhaust gases push upward against the engine.

At standard temperature and pressure, carbon dioxide has a density of 1.98 kg/m3. What volume does 1.70 kg of carbon dioxide occupy at standard temperature and pressure?

Answers

Answer:

volume= 0.85m^3

Explanation:

The density of a substance is defined as the mass per unit volume of the substance, the unit is in kg/m^3 and it is represented by the greek letter rho

Step one:

given data

we are told that the density  of Co2=  1.98 kg/m3

and the mass of Co2 is= 1.70 kg

we know the relation between mass, volume and density is

[tex]density=mass/volume[/tex]

make volume subject of formula we have

[tex]volume=mass/density[/tex]

substitute we have

[tex]volume=1.7/1.98\\\\volume= 0.85m^3[/tex]

Question 4 of 10
How does the electric current of an AC generator differ from that of a DC
generator?
O A. It is much stronger.
OB. It flows through the permanent magnets.
C. It is much weaker.
D. It constantly reverses direction.

Answers

I think c it’s probably c yea but I’m sorry if it’s wrong

Answer:

D) it constantly reverses direction

Explanation:

Just took the test

What is inertia?
An object's tendency to move quicker
An object's tendency to change direction
An object's tendency to resist changes in motion
An unbalanced force on an object

Answers

Answer:

I think the answer should be an object's tendency to resist changes in motion.

Explanation:

Inertia is resistance of any physical object to any changes in its velocity.

Answer:

an object's tendency to resist changes in motion.

Explanation:

a. An object weighs 7.84 N when it is in air and 6.86 N when it is immersed in water. What is the specific gravity of the object?
b. How much pressure does it take for a pump to supply a drinking fountainwith 300 kPa, if the fountain is 30.0 m above the pump?

Answers

Answer:

a

 [tex]W_s = 8[/tex]

b

[tex]P = 594 000 \ Pa[/tex]

Explanation:

Considering question a

 From the question we are told that

   The weight of the object in  air is  [tex]W_1 = 7.84 \ N[/tex]

    The weight of the object in water  is [tex]W_2 = 6.86\ N[/tex]

Generally the specific gravity of the object is mathematically represented as

       [tex]W_s = \frac{W_1 }{W_1 - W_2 }[/tex]

=>    [tex]W_s = \frac{7.84}{7.84 -6.86 }[/tex]

=>    [tex]W_s = 8[/tex]

Considering question b

From the question we are told that        

   The pressure required is  [tex]P_r = 300 \ kPa = 300 *10^{3} \ Pa[/tex]

    The height is  [tex]h = 30.0 \ m[/tex]

Generally the pressure require to get the water to  the given height is mathematically represented as

      [tex]P_h = \rho * g * h[/tex]

Here  [tex]\rho[/tex] is the density of  water with value  [tex]\rho = 1000 \ kg / m^3[/tex]

So  

     [tex]P_h = 1000 * 9.8 * 30[/tex]

=>  [tex]P_h = 294000 \ Pa[/tex]

Generally the pressure require to pump the water to  the given height at the require pressure is mathematically represented as

      [tex]P = P_h + P_r[/tex]

=>  [tex]P = 294000 + 300*10^{3}[/tex]

=>  [tex]P = 594 000 \ Pa[/tex]

An object is thrown straight down with an initial speed of 4 m/s from a window which is 8 m above the ground. Calculate: a) The time it takes the object to reach the ground b) Its velocity when it reaches the ground.

Answers

Answer:

0.41s

8.01m/s

Explanation:

Using the formula; v = u + at

Where;

u = initial velocity (m/s)

v = final velocity (m/s)

t = time (s)

a = acceleration (m/s²)

According to the provided information, u = 4m/s, s = 8m,

V = u + at

4 = 0 + 9.8t

4 = 9.8t

t = 0.41s

b) v = u + at

v = 4 + 9.8(0.41)

v = 4 + 4.018

v = 8.018m/s

What is the final speed of a free electron accelerated from rest through a potential difference of -120 V? The mass of the electron is 9.11x10-31kg. You need to express the speed in km/s.
You should round your answer to an integer, indicate only the number, do not include the unit.

Answers

Answer:

The final speed of the electron is 6,497 km/s

Explanation:

Given;

mass of the electron, m = 9.11 x 10⁻³¹ kg

electron potential, V = -120 V

Apply work energy theorem;

¹/₂mv² = eV

Where;

v is the final speed of the electron

e is the charge of the electron, = 1.602 x 10⁻¹⁹ C

[tex]v = \sqrt{\frac{2eV}{m} }\\\\v = \sqrt{\frac{2(1.602*10^{-19})(120)}{9.11*10^{-31}} }\\\\v = 6496473.75 \ m/s\\\\v = 6,497 \ km/s[/tex]

Therefore, the final speed of the electron is 6,497 km/s

You are currently getting 26 sales opportunities per day and closing 64% of them. How many sale opportunists per day?

Answers

Answer: 16

Explanation:

Consider a polymer formed by a chain process. By how much does the kinetic chain length change if the concentration of initiator decreases by a factor of 10.0 and the concentration of monomer increases by a factor of 5.0?

Answers

Answer: it’s in the picture
Explanation: look at the picture

What is a physical combination of two or more substances that are blended together without forming a new substance?

Answers

Answer:

It is called a mixture.

Explanation:

A mixture is a physical combination of 2 or more substances that are blended together without forming a new substance.

23)
What statement BEST describes a gas?
A)
Gases have definite shape and variable volume.
B)
Gases have variable shape and variable volume.
0
Gases have a definite shape and definite volume.
D)
Gases have a variable shape and definite volume.

Answers

Answer:

b

Explanation:

The second floor of a house is 6 m above the street level. How much work is required to lift a 300-kg refrigerator to the second-story level?

Answers

Answer:

Work done, W = 18 kJ

Explanation:

Given that,

The mass of a refrigerator, m = 300 kg

The second floor of a house is 6 m above the street level.

We need to find the work required to lift the refrigerator to the second-story level.

Work done, W = F × d

Putting all the values,

W = 300 × 10 × 6

W = 18000 J

or

W = 18 kJ

So, 18 kJ of work is done in lifting the refrigerator to the second-story level.

1. Find the period of a tuning fork that vibrates 120 times/sec.?? I will give brainlest​

Answers

Answer:

it the last one

Explanation:

How is energy that is stored in food released?
A- atoms increase in movement
B- atoms are split
C- heat is released
D-chemical bonds in fats are proteins are broken​

Answers

Answer:

i think its A

Explanation:

Answer:

D

Explanation:

The chemical energy stored in food is released by cells through the process of respiration. (cellular respiration)

This stored energy is released whenever these chemical bonds are broken in metabolic processes such as cellular respiration. Cellular respiration is the process by which the chemical energy of “food” molecules is released and partially captured in the form of ATP.

A 1000kg car is moving with a speed of 20m/s. Determine the net work required to move the

vehicle to a speed of 30m/s?​

Answers

Answer:

250,000 Joules

Explanation:

The work required is the amount of energy added, so the answer is the difference in kinetic energy before and after the acceleration of the car.  (The problem doesn't say it's flat where the car is, but well assume it since there is no information about an elevation change that would require us to concern ourselves with potential energy!)

W = E_final - E_initial

= 1/2 m v_final^2 - 1/2 m v_initial^2

= 1/2 m (v_final^2 - v_initial^2)

= 1/2 (1000 kg) ( (30 m/s)^2 - (20 m/s^2) )

= 1/2 (1000 kg) (500 m^2/s^2)

= 250,000 kg m^2/s^2

= 250,000 Joules

Find the Acceleration of a car with the mass of 1200kg and a force of 11x10^3 N

Answers

Answer:

9.17 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{f}{m} \\ [/tex]

f is the force

m is the mass

From the question we have

[tex]a = \frac{11 \times {10}^{3} }{1200} \\ = 9.16666...[/tex]

We have the final answer as

9.17 m/s²

Hope this helps you

A 72.0-kg person pushes on a small doorknob with a force of 5.00 N perpendicular to the surface of the door. The doorknob is located 0.800 m from axis of the frictionless hinges of the door. The door begins to rotate with an angular acceleration of 2.00 rad/s2, What is the moment of inertia of the door about the hinges? A) 2.74 kg m2 B) 1.88 kg m2 C) 0.684 kg m2 D) 4.28 kg m2 E) 7.52 kg m2

Answers

Answer:

[tex]I=2\ kgm^2[/tex]

Explanation:

Given that,

Mass of a person, m = 72 kg

Force acting on a doorknob, F = 5 N

The doorknob is located 0.800 m from axis of the frictionless hinges of the door.

The angular acceleration of the dor, a = 2 rad/s²

We need to find the moment of inertia of the door about the hinges.

The person applies a torque to the door and it is given by :

[tex]\tau=Fr[/tex] ...(1)

Also, the torque is equal to :

[tex]\tau=I\alpha[/tex] ...(2)

From equation (1) and (2) we get :

[tex]Fr=I\alpha[/tex]

I is the moment of inertia

[tex]I=\dfrac{Fr}{\alpha }\\\\I=\dfrac{5\times 0.8}{2}\\\\=2\ kgm^2[/tex]

So, the moment of inertia of the door about the hinges is [tex]2\ kgm^2[/tex].

What is the definition of kepal law​

Answers

Kepal has created an expressive nature, idealistic and inspirational, and driven by an urge to be of service to humanity as a whole

Humpback whales sometimes catch fish by swimming rapidly in a circle, blowing a curtain of bubbles that confuses a school of fish and traps it in a small area, where the whales can easily catch and eat them. Suppose a 25,000-kg humpback whale swims at 2.0 m/s in a circle of radius 8.2 m. What centripetal force must the whale generate?

Answers

Answer:

1.2 x [tex]10^4[/tex] N

Explanation:

The centripetal force of a body moving in a circle is given by:

Centripetal force = [tex]\frac{Mv^2}{r}[/tex]

where M = mass of the object, v = velocity with which the object is moving, and r = radius of the circle.

In this case, M = 25,000 kg, v = 2.0 m/s, and r = 8.2 m. Hence;

Centripetal force generated by the whale = 25,000 x 2^2/8.2

                                            = 12,195.12 N = 1.2 x [tex]10^4[/tex] N to two significant digits.

On a smooth horizontal floor, an object slides into a spring which is attached to another mass that is initially stationary. When the spring is most compressed, both objects are moving at the same speed. Ignoring friction, and considering the two masses and spring as a system, what is conserved during this interaction?A) momentum and potential energyB) kinetic energy onlyC) momentum and kinetic energyD) momentum onlyE) momentum and mechanical energy

Answers

Answer:

E) momentum and mechanical energy

Explanation:

In the context, an object is attached to the another mass with a spring which is initially at a rest position. Now when the spring is compressed, the two masses moves with the same speed. Now since the both the masses combines with the spring to move together they are considered as one system and in this case the momentum and the kinetic energy will be conserved.

The kinetic energy and momentum of the system after collision and the kinetic energy and momentum of the two masses before collision will be constant.

Other Questions
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