Determine the launch speed of a horizontally launched cannonball that lands 26.3
meters from the base of a 19.3 meter high cliff.

Answers

Answer 1

Answer:

The cannon has an initial speed of 13.25 m/s.

Explanation:

The launched cannonball is an example of a projectile. Thus, its launch speed can be determined by the application of the formula;

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

Where: R is the range of the projectile, u is its initial speed, H is the height of the cliff and g is the gravitaty.

R = 26.3 m, H = 19.3 m, g = 9.8 m/[tex]s^{2}[/tex].

So that:

26.3 = u[tex]\sqrt{\frac{2*19.3}{9.8} }[/tex]

[tex](26.3)^{2}[/tex] = [tex]u^{2}[/tex] x [tex]\frac{38.6}{9.8}[/tex]

691.69 =  [tex]u^{2}[/tex] x [tex]\frac{38.6}{9.8}[/tex]

[tex]u^{2}[/tex] = [tex]\frac{691.69*9.8}{38.6}[/tex]

   = [tex]\frac{6778.562}{38.6}[/tex]

[tex]u^{2}[/tex] = 175.6104

⇒ u = [tex]\sqrt{175.6104}[/tex]

  = 13.2518

u = 13.25 m/s

The initial speed of the cannon is 13.25 m/s.


Related Questions

For a science fair project about food and chemistry, Bill looks around his kitchen for examples of covalent compounds. What evidence can Bill use in his project to show that water (H2O) acts like other covalent compounds? He can demonstrate that water is a liquid with a definite volume. He can demonstrate that water can be boiled on a simple kitchen stove. He can demonstrate that water can sometimes be used to conduct electricity. He can demonstrate that water can change shape and either be sprayed or poured.

Answers

Answer:

B) He can demonstrate that water can be boiled on a simple kitchen stove.

Explanation:

Took the test edge2020 :)

He can demonstrate that water can be boiled on a simple kitchen stove.

The following information should be considered;

The evidence that should be used in his project for representing the water is that the water should be boiled on the kitchen stove and that should be simple not fancy. Therefore, the other options should not be considered.

Learn more: https://brainly.com/question/5566317?referrer=searchResults

Jessica does not like how her BestFriend has been treating her around others. When confronted, the friend says Jessica is being emotional. Which beat describes the relationship between Jessica’s emotional and mental health

Answers

She is sad and feels left out because they are treating her badly. Hope this helps :)

what does the word 'latent' means​

Answers

Answer:

Existence but not yet Developed or manifest; hidden or conceived

A force of 250 N is applied to an object that accelerates at a rate of 5 m/sec2. What is the mass of the object?

Answers

Explanation:

force(f)=250N

acceleration(a)=5m/sec²

mass(m)=?

now,

f=m.a

f=m

a

m=250

5

m=50kg

i hope so,

Which of the following does not correctly describe the position of the turtle and why?

Answers

Answer:

C. 2m to the right of the rollerblader

Explanation:

The turtle is 2m to the LEFT of the rollerblader, so its the only option not describing the position of the turtle:)

Hope this helps, have a great day;)

How much force is required to accelerate an 8 kg mass at 5 m/s2

Answers

Answer: 40 N

Explanation: Use the formula

F = m a

to solve this.

F = (8 kg) (5 m/s²)

F = 40 kgm/s²

F = 40 N

The required force will be "40 N".

The given value are:

Acceleration,

a = 8 kg

Mass,

m = 5 m/s²

The force will be:

→ [tex]Force (F) = Mass(m)\times Acceleration (a)[/tex]

By substituting the values, we get

                   [tex]= 5\times 8[/tex]

                   [tex]= 40 \ N[/tex]

Thus the response above is right.

Learn more about force here:

https://brainly.com/question/12800231

Pls help it’s due in 20 min

Answers

Answer:

1=false and 2=1st answer is correct

a compass needle acts as a(n)

Answers

Explanation:

A compass needle acts as a Magnet

The 2020 Ford police interceptor has a max acceleration of 4.4 m/s2. If a policeperson is sitting on
the roadside when a speeding car passes them at 70 mph (31.3 m/s), and the policeperson takes off
at max acceleration 1 second later, will they be able to catch the speeder in 10 seconds?
(Show work)

Answers

Answer:

The policeperson will not be able to catch the speeder in 10 seconds

Explanation:

The maximum acceleration of the 2020 Ford police interceptor, a = 4.4 m/s²

The rate at which the speeding car is moving, v = 70 mph (31.3 m/s)

The time after which the policeperson takes off = 1 second

The time, t, at which the policeperson catches the speeding car is given as follows;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity of the Ford police interceptor = 0

∴ s = 0 × t + 1/2·a·t² = 1/2·a·t²

s = 1/2·a·t²

s = v × (t + 1)

Equating both equations, gives;

v × (t + 1) = 1/2·a·t²

Substituting the values, we get;

31.3 × (t + 1) = 1/2 × 4.4 × t²

31.3·t + 31.3 = 2.2·t²

2.2·t² - 31.3·t - 31.3 = 0

By the quadratic formula, we have;

t = (31.3 ± √((-31.3)² - 4×2.2×(-31.3))/(2 × 2.2)

t ≈ -0.938 seconds or t ≈ 15.165 seconds

The policeperson will catch the speeder in approximately 15.165 seconds

Therefore, the policeperson will not be able to catch the speeder in 10 seconds.

Danielle is applying 25.2 N to the right on her sled. The sled has a mass of 15.7 kg, and
is accelerating across the snow at a rate of 1.35 m/s2.
What is the magnitude of the normal force?
a. 4.00 N
b. 13.57 N
C. 11.63 N
d. 153.86 N

Answers

The applied force is parallel to the ground, so the net vertical force on the sled is 0. By Newton's second law, this means the normal force and weight of the sled cancel out:

n - w = 0

n = w

n = m g

n = (15.7 kg) (9.80 m/s²)

n = 153.86 N

The acceleration due to gravity on Earth is 9.8 m/s2. What is the weight of a 75 kg person on Earth? 9.8 N 75 N 85 N 735 N

Answers

F = MA
9.8 m/s * 75 kg = 735 N

The weight of a 75 kg person on Earth is 735 N, The correct option is D.

What is the acceleration due to gravity?

Acceleration due to gravity is the acceleration that an object experiences due to the gravitational force exerted by a massive body, such as Earth. The acceleration due to gravity on Earth is approximately 9.8 meters per second squared (m/s^2) and is denoted by the symbol "g".

The acceleration due to gravity is a vector quantity, which means that it has both magnitude and direction. The direction of the acceleration due to gravity is always downwards, towards the center of the massive body.

The acceleration due to gravity is a constant value near the surface of the Earth, but it can vary slightly depending on altitude, latitude, and the composition of the Earth's interior. For example, at higher altitudes, the acceleration due to gravity decreases slightly, while at the equator, it is slightly greater than at the poles due to Earth's rotation.

The acceleration due to gravity plays an important role in many physical phenomena, including free fall, projectile motion, and the behavior of fluids in containers.

Here in the Question,

The weight of a 75 kg person on Earth can be calculated using the formula:

weight = mass x acceleration due to gravity

Substituting the given values, we get:

weight = 75 kg x 9.8 m/s^2

weight = 735 N

Therefore, the weight of a 75 kg person on Earth is 735 N, which is option D.

To learn more about Gravitational force click:

brainly.com/question/29190673

#SPJ7

The charge of a capacitor is 1500μC. Determine the potential difference between the plates if their capacitance is 5μF.

Answers

Answer:

The potential difference between the plates of the capacitor is 300V

Explanation:

Given;

capacitance of the capacitor, C = 5μF = 5 x 10⁻⁶ F

charge of the capacitor, Q = 1500μC = 1500 x 10⁻⁶ C

The potential difference between the plates of the capacitor is given by;

V = Q / C

Where;

V is the  potential difference between the plates

Q is the charge of the capacitor

C is the capacitance

[tex]V = \frac{Q}{C} \\\\V = \frac{1500*10^{-6}}{5*10^{-6}} \\\\V = 300 \ volts[/tex]

Therefore, the potential difference between the plates of the capacitor is 300V

Day and night are caused by

Answers

Answer:

The Moon rotating around Earth and the Earth rotating around the Sun

Explanation:

Answer:

the rotation of Earth on its axis

Explanation:

Did it on study island

The greater the___of the object, the greater the force needed to achieve the same change in motion.

Answers

Answer:mass

Explanation:

pls help asap plsss​

Answers

3. Waxing !!!!!!!!!!!!!!!!:D
i’d say waxing!!!!!!!!

A 49 kg person is being dragged in their sleeping bag to the lake by a 593 N
force at an angle of 30°. If the person accelerates at a rate of 0.57 m/s?, how
much resistive force (force of friction) is acting on them?

NEED HELP LIKE RIGHT NOW PLz

Answers

Answer:

f = 485.62 N

Explanation:

Since, the bag is moving with some acceleration. Hence, the unbalanced force will be given as:

Unbalanced Force = Horizontal Component Applied Force - Frictional Force

Unbalanced Force = Fx - f

But, from Newtons Second Law of Motion:

Unbalanced Force = ma

comparing the equations:

ma = Fx - f

f = F Cos θ - ma

where,

f = frictional force  = ?

F = Applied force  = 593 N

m = mass of person = 49 kg

a = acceleration = 0.57 m/s²

θ = Angle with horizontal = 30°

Therefore,

f = (593 N)(Cos 30°) - (49 kg)(0.57 m/s²)

f = 513.55 N - 27.93 N

f = 485.62 N

help me please ( im past my limit for getting answers for today :/)
A cow is eating green grass that grows in a field.

Which type of organism is the grass in this scenario?

consumer
decomposer
prey
producer

Answers

Answer:

producer

Explanation:

grass is producing

by photosynthesis

Why is it hard to respond with action at times?

Answers

Yes it can be very hard
Usually people would sometimes need an example as an action

need help please and thank you​

Answers

Answer:

0.13m/s

Explanation:

jhghffhjffhjfhjfhjf

The car's initial speed was 32m / s and it takes 99 seconds for the car to come to a full stop after the driver applies the brakes. What is the magnitude of the car's acceleration?

Answers

Answer:

0.323232....m/s2

Explanation:

acceleration=V/t

32m/s/99s=0.3232m/s2

What if the Earth was moved out to Jupiter's orbit which is about 5
times further from the Sun that Earth. How would the Sun's effect on
the Earth change at that distance?
25 times less gravitational force
0.5 times less gravitational force
5 time less gravitational force

Answers

Answer:

25.0 less force

Explanation:

The average acceleration is the ratio of which of the following quantities?

Answers

the answer will be : Δt

what are the kinetic energy​

Answers

Answer:

n physics, the kinetic energy (KE) of an object is the energy that it possesses due to its motion.[1] 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.

In classical mechanics, the kinetic energy of a non-rotating object of mass m traveling at a speed v is {\displaystyle {\begin{smallmatrix}{\frac {1}{2}}mv^{2}\end{smallmatrix}}}{\begin{smallmatrix}{\frac {1}{2}}mv^{2}\end{smallmatrix}}. In relativistic mechanics, this is a good approximation only when v is much less than the speed of light.

The standard unit of kinetic energy is the joule, while the imperial unit of kinetic energy is the foot-pound.

Explanation:

Answer:

kinetic energy is the energy that an object posses due to their motions.

Explanation:

eg:When you let go of that ball and let it fall, the potential energy converts into kinetic energy, or the energy associated with motion. There are five types of kinetic energy: radiant, thermal, sound, electrical and mechanical.

how would the acceleration of an object change if you doubled (2x) the force and quadrupled (4x) the mass
a. acceleration remains the same
b. acceleration would be twice as much
c. acceleration would be half as much
d. acceleration would be one-fourth as much

Answers

Answer:

acceleration will be twice as much

Why can't we hold a glass with oily hands?!
Is it related to friction?!

Answers

Because oil is a lubricant which reduces friction between our hands and glass. Less friction and it tends to slip so yes , it is related to friction

A pelican flying along a horizontal path drops a fish from a height of 4 m. The fish travels 8.0 m horizontally before it hits the water below. What is the pelican’s speed

Pls solve to the fullest do not copy question and give very detail of how to do it pls and thank you

Answers

Answer:

Speed = 8.79m/s

Explanation:

Given the following data;

Height = 4m

Horizontal distance = 8m

To find the time, we would use the second equation of motion

S = ut + ½at²

We know that acceleration due to gravity is equal to 9.8m/s²

Initial velocity, u = 0

Substituting into the equation, we have;

4 = 0(t) + ½*9.8*t²

4 = 0 + 4.9*t²

4 = 4.9t²

t² = 4/4.9

t² = 0.82

Taking the square root of both sides, we have;

t = 0.91 secs

To find the speed;

Speed = horizontal distance/time

Speed = 8/0.91

Speed = 8.79m/s

Therefore, the pelican's speed is 8.79 meters per seconds.

What does the number of protons tell us about an element?

Answers

Answer:

All atoms of an element have the same number of protons, and every element has a different number of protons in its atoms. ... Therefore, the atomic number of an atom also tells you how many electrons the atom has. This, in turn, determines many of the atom's chemical properties.

A baseball is thrown straight upward with a speed of 30 m/s. (a) How long will it rise? (6) How high will it
rise? (c) How long after it leaves the band will it return to the starting point? (ch) When will its speed be
16 m/s?

Answers

Answer:

(a) 3.06 s

(b) 45.92 m

(c) 6.12 s

(ch) 1.43 s

Explanation:

Vertical Launch Upwards

In a vertical launch upwards, an object is launched vertically up without taking into consideration any kind of friction with the air.

If vo is the initial speed and g is the acceleration of gravity, the maximum height reached by the object is given by:

[tex]\displaystyle h_m=\frac{v_o^2}{2g}[/tex]

Similarly, the time it needs to reach the maximum height is:

[tex]\displaystyle t_m=\frac{v_o}{g}[/tex]

The object's speed (vf) after time t is:

[tex]v_f=v_o-g.t[/tex]

The baseball is thrown up at vo=30 m/s.

(a) It's required to calculate the time it needs to reach the maximum height:

[tex]\displaystyle t_m=\frac{30}{9.8}=3.06[/tex]

[tex]t_m=3.06~s[/tex]

(b) The maximum height is:

[tex]\displaystyle h_m=\frac{30^2}{2(9.8)}=45.92[/tex]

[tex]h_m=45.92~m[/tex]

(c) The time needed to travel up is the same time required to return to the starting point:

[tex]t_f=2*t_m=2*3.06[/tex]

[tex]t_f=6.12~s[/tex]

(ch) The speed will be vf=16 m/s at a certain time. Using the equation

[tex]v_f=v_o-g.t[/tex]

We solve for t:

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

[tex]\displaystyle t=\frac{30-16}{9.8}[/tex]

t = 1.43 s

fnet = fa + ff or fnet = fa - ff

Answers

Answer:first of all what is your question and i can give and example which is Use them when you have 2 forces named Fa & FF or Fg & Ff acting in opposite directions on an object and you need to know the resultant of your 2 forces.

Explanation:

i searched it up

what does it mean when we say "the acceleration due to gravity "

Answers

Answer: The acceleration due to gravity is the constant pull towards the core of the earth due to gravity on earth. It is abbreviated by the letter g and is equal to -9.81 m/s².

Explanation:

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