A trebuchet launches a pumpkin at an angle of 27 degrees at an initial velocity of 32 m/ s from the ground. What is the apogee of the pumpkin?​

Answers

Answer 1

Answer:

10.77 m

Explanation:

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

Initial velocity (u) = 32 m/s

Angle of projection (θ) = 27°

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

Apogee i.e maximum height (H) =?

Thus, the apogee i.e the maximum height of the pumpkin can be obtained as follow:

H = u² Sine² θ /2g

H = 32² × (Sine 27)² / 2 × 9.8

H = 1024 × (0.454)² / 19.6

H = (1024 × 0.206116) / 19.6

H = 10.77 m

Thus, the apogee i.e the maximum height of the pumpkin is 10.77 m.


Related Questions

Which atmospheric layer gets warmer as altitude increases and contains the ozone layer?

Answers

Answer:

stratosphere

Explanation:

In the stratosphere, temperature increases with altitude. The stratosphere contains the ozone layer, which protects the planet from the Sun's harmful UV radiation.

Stratosphere is the atmospheric layer which gets warmer as the altitude increases and contains the ozone layer.

What is Stratosphere?

The stratosphere is a layer of the Earth's atmosphere. It is the second layer of the atmosphere as we go upward into the atmosphere height. The troposphere is the lowest layer of the globe, which is present right below the stratosphere. The next higher layer of the atmosphere above the stratosphere is the mesosphere.

In the stratosphere layer, the temperature increases with the increase in the altitude range. The stratosphere layer contains the ozone layer, which works in the protection of the planet from the Sun's harmful ultraviolet radiations which could lead to cancer.

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When an atom gains or loses electrons, it has an electrical charge. It is known as

Answers

Answer:

ion

Explanation:

Atoms can gain or lose making them no longer neutral they become charged and it is called ion.

What statements accurately describe sunspots? Check all that apply.
Sunspots are storms on the Sun's surface.
Sunspots are marked by intense magnetic activity.
Sunspots produce solar flares and hot gassy ejections.
Sunspots can affect Earth's climate.
Sunspots are cool areas where the Sun is covered by clouds.

Answers

Answer:

sunspots are storms on the Suns surface

Sunspots are marked by intense magnetic activity

Sunspots produce solar flares and hot gassy ejections.

Sunspots can affect Earth’s climate.

Explanation:

I just did this lesson

The statement that describe sunspot is Sunspots are storms on the Sun's surface.

What are sunspot?

Sunspot are region of the earth that are more darker than other surfaces. They have temporary spots that are darker because the temperature of that area is cooler than other surfaces. They have a reduced temperature.

Therefore, The statement that describe sunspot is Sunspots are storms on the Sun's surface.

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A rock climber is going up a narrow space between two vertical rocks. The distance between the rocks allows the climber to brace herself using friction, where her feet are flat and in contact with one rock to the left, and her legs are straight horizontal and her back is flat against a rock on the right. The coefficient of static friction between her shoes and the rock on the left is 1.2, and between the rock at right and her back is 0.8. The climber relaxes until she is on the verge of slipping on both sides.
(a) Draw a FBD for the climber
(b) What fraction of her weight is supported by the frictional force on her shoes?

Answers

Answer: b

Explanation:

e. A driver speeds up his vehicle while moving up a hill.
Why?​

Answers

Answer:

For more acceleration

Explanation:

If he is speeding u a hill his car needs more power ecsue its going upward so he will have to speeed to gain more acceleration so his car doesnt fall

Like chargers attract one another

Answers

nope. opposite charges attract. like charges repel.

Does time of flight depend on initial speed?

Answers

I guess yeah sorry couldn’t help much

The path of a projectile fired at an angle above the horizontal is best described as

Answers

I agree it only makes sense

Which best describes a difference between laser light and regular light?
Laser light is less concentrated.
Laser light has a beam that spreads out.
O Laser light is made of one specific color.
O Laser light pumps out light particles one at a time.

Answers

Answer: the correct answer should be B

Explanation:

The statement that, best describes a difference between laser light and regular light is laser light is made of one specific color.

What is laser light?

A laser light is a light produced by a laser

Laser itself,  is a device that emits light through a process of optical amplification based on the stimulated emission of electromagnetic radiation.

Difference between laser light and regular lightRegular light is non-directional and inconsistent, while laser light shows directional and highly consistent distribution.Regular light is a mixture of electromagnetic waves of different wavelengths while Laser light is monochrome (one colour).

Thus, the statement that, best describes a difference between laser light and regular light is laser light is made of one specific color.

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An airplane is flying at a velocity of 79 m/s eastward relative to the air. Due to a high-pressure region to the north, the velocity of the air relative to the ground is 18 m/s southward. Find the ground speed of the airplane.

Answers

So we are working out it’s final velocity. To do this you need to rearrange and substitute :
Velocity = final velocity (v) - initial vel. (U)
Divided by ______________________
Time taken (t)

Not sure if this helped but I try to start it off

2. An athlete runs up the stairs of a tall building in 10 s. If she has a mass of 55 KG and the total vertical distance she covers is 8.2 m, what is the average power (in W)developed by her legs?

Answers

Answer:

P = 37.0 W (watts)

Explanation:

Using the formula for power :

P = ( kg × m^2/s^2 ) W

given the mass 55kg, the time 10s, and the displacement 8.2m.

55 kg × 8.2^2 / 10^2

55kg × 67.24 / 100

3698.2/100

P = 36.982 ≈ 37.0 W (nearest tenth)

An Astronaut on the Moon drops a rock straight downward from a height of 1.25 meters. If the acceleration of gravity on the Moon is 1.62 meters per second squared, what is the speed of the rock just before it lands?

Answers

Answer:

Since the astronaut drops the rock, the initial velocity of the rock is 0 m/s

We are given:

initial velocity (u) = 0 m/s

final velocity (v) = v m/s

acceleration (a) = 1.62 m/s/s

height (h) = 1.25 m

Solving for v:

From the third equation of motion:

v²-u² = 2ah

replacing the variables

v² - (0)² =2 (1.62)(1.25)

v² = 1.62 * 2.5

v² = 4 (approx)

v = √4

v = 2 m/s

The speed of the rock just before it lands is 2 m/s

The student toses a ball into the air and then watches the ball fall back down to earth. When does the ball have the most potential energy

Answers

Answer:

when the ball is at its highest in the air.

Explanation:

I don't know for sure, but when the ball is in the air it has potential energy to fall(or something like that).

Your car is initially at rest when your hit that gas and the car begins to accelerate at a rate of 2.857 m/s/s. The acceleration lasts for 15.5 s. What is the final speed of the car and how much ground does it cover during this acceleration?

Answers

Answer:

Vf = 44.56 [m/s]

Explanation:

In order to solve this problem we must use the following expression of kinematics.

[tex]v_{f} = v_{i}+(a*t)[/tex]

where:

Vf = final velocity [m/s]

Vi = initial velocity = 0

a = acceleration = 2.857 [m/s^2]

t = time = 15.5 [s]

Note: the initial velocity is equal to zero as the car begins its movement from rest, or with an initial velocity equal to zero.

Vf = 0 + (2.875*15.5)

Vf = 44.56 [m/s]

Suppose that a Ferrari and a Porsche begin a race with a moving start, and each moves with constant speed. One lap of the track is 2 km. The Ferrari laps the Porsche after the Porsche has completed 9 laps. If the speed of the Ferrari had been 10 km/h less, the Porsche would have traveled 18 laps before being overtaken. What were the speeds of the two cars?

Answers

Answer:

Porsche = 180 kmph

Ferrari = 200 kmph

Explanation:

Given that

The distance of one lap = 2 km

The distance the Ferrari laps the Porsche = 9 laps

The distance the Ferrari will lap the Porsche with 10 km/h less speed = 18 laps

So we say let,

the speed of the Ferrari = S(f),

the speed of the Porsche = S(p), and

the time that lapse before two cars lapped = t

From the question, we're told that

(S(f) * t1) - (S(p) * t1) = 2 km, also

S(p) * t1 = 9 * 2 = 18 km

Referring back to the initial equation

(S(f) * t1) = 2 + (S(p) * t1)

(S(f) * t1) = 2 + 18 = 20 km

Going back to the question again, we're told that

(S(f) - 10) * t₂ - S(p) * t₂ = 2 km

S(p) * t₂ = 18 * 2 = 36 km

So that,

(S(f) - 10) * t₂ = 2 km + S(p) * t₂

(S(f) - 10) * t₂ = 2 + 36 km = 38 km

(S(f) - 10) * t₂ = 38 km

S(p) * t₂ (36 km) = 2 * S(p) * t₁ (18 km),

S(p) * t₂ = 2 * S(p) * t₁, collect like terms

t₂ = 2t₁

(S(f) - 10) * 2t₁ - S(p) * 2t₁ = 2 km

(S(f) - 10) * 2t₁ = 38 km

(S(f) - 10) * 2t₁ = 38 km

2t₁ * S(f) - 2t₁ * 10 = 38 km

S(f) * t₁ = 20 km,

2 * 20 km - 2t₁ * 10 = 38 km

2t₁ * 10 = 2 * 20 km - 38 km

2t₁ * 10 = 2 km

20t₁ = 2 km

t₁ = 2/20 = 0.1 hour = 6 minutes

This means that

S(p) * t₁ = 18 km

S(p) * 0.1 h = 18 km

S(p) = 18 km/0.1 h = 180 km/h

The speed of the Porsche = S = 180 km/h

S(f) * t₁ = 20 km

S(f) × 0.1 h = 20 km

S(f) = 20 km/0.1 h = 200 km/h

The speed of the Ferrari = S = 200 km/h

An airplane flying at 119 m/s is accelerated uniformly at the rate of 0.5 m/s2 for 10
seconds. What is its final speed?

Answers

Answer:

124m/s

Explanation:

v=u+at

v=119+(0.5×10)

v=119+5

v=124m/s

What is the frequency (n, in Hz) of the photons emitted by a He-Ne laser with a wavelength (l) of 632.8 nm

Answers

Answer:

4.741 × 10¹⁴ Hz

Explanation:

Step 1: Given data

Wavelength of the He-Ne laser (l): 632.8 nmFrequency of the He-Ne laser (n): ?Speed of light (c): 3.000 × 10⁸ m/s

Step 2: Convert "l" to meters

We will use the conversion factor 1 m = 10⁹ nm.

632.8 nm × (1 m / 10⁹ nm) = 6.328 × 10⁻⁷ m

Step 3: Calculate the frequency of the He-Ne laser

We will use the following expression.

c = l × n

n = c / l

n = (3.000 × 10⁸ m/s) / (6.328 × 10⁻⁷ m)

n = 4.741 × 10¹⁴ s⁻¹ = 4.741 × 10¹⁴ Hz

Homogeneous materials look the same throughout even though they contain
different materials.
A. True
B. False
SUBMIT

Answers

Answer:

true ig..

Explanation:

Which pair of factors affects the force of gravity between objects?

direction and distance

mass and distance

mass and shape

shape and time

Answers

Answer:

mass and distance

Explanation:

dont need to summary this

Answer:

B. mass and distance

Explanation:

Which statement describes earthquakes?
They release energy
They are caused by reduced stress in rocks
They begin at the epicenter
The result for movement on earth’s surface

Answers

Answer:

they release energy  

Explanation:

An earthquake is the abrupt release of energy from the earth's crust that causes the earth's surface to shake . Thus , seismic waves are produced. The kind and severity of an earthquake are based on the local seismic activity . therefore the correct answer is option A.

What is the equator?

The Equator is an imaginary line passing through the middle of a globe. It is equidistant from the North Pole and the South Pole, Its is a horizontal line residing at 0 degrees latitude .

An earthquake is the abrupt release of energy from the earth's crust that causes the earth's surface to shake . Thus, seismic waves are produced. The kind and severity of an earthquake are based on the local seismic activity .

Thus, the correct answer is option A .  

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2. True or false?
Forensic entomology uses the study of insects to help criminal investigations.

Answers

I’m pretty sure it’s true lol
True
Look up the definition, it tells you.

A car start from rest accelerate uniformly at rate of 2 m/sec2. Its velocity after 5 seconds will be:

Answers

Answer:

nononononononononononononnn

Explanation:

Answer:

Read below to understand

Explanation:

acceleration = change in velocity / change in time

(a = v/t)

You have acceleration and time given so you need to rearrange the equation to solve for velocity

V = a * t

V = 2 * 5

Velocity is 10 m/s

Which could describe the properties of sedimentary rock?
PLASE HELP
DUE TODAY

Answers

Answer:

☝ Some of the properties of sedimentary rocks

can you describe your own perspective whats Physical Science all about? PLS GUYS HELP​

Answers

Answer:

Physical science is the study of the inorganic world. That is, it does not study living things.  The four main branches of physical science are astronomy, physics, chemistry, and the Earth sciences, which include meteorology and geology.

QUESTION
The strongest Stars used to be called
what?

Answers

Answer:

Absolute magnitude

Explanation:

The brightness a star would have if it were at 10 pc from Earth is called Absolute magnitude.

A power cycle operating between hot and cold reservoirs at 500 K and 300 K, respectively, receives 1000 kJ by heat transfer from the hot reservoir. The magnitude of the energy discharged by heat transfer to the cold reservoir must satisfy

Answers

Answer:

The value is [tex]Q_l \ge 600\ k J[/tex]

Explanation:

From the question we are told that  

   The temperature of  hot is  [tex]T_h = 500 \ K[/tex]

   The temperature of cold is  [tex]T_c = 300 \ K[/tex]

   The energy received is  [tex]E = 1000 \ kJ = 1000 *10^{3 } \ J[/tex]

Generally the maximum thermal  efficiency of the engine is mathematically represented as

     [tex]\eta = \frac{T_h - T_c}{T_h}[/tex]

=> [tex]\eta = \frac{500 - 300}{500}[/tex]

=> [tex]\eta = 0.4[/tex]

Generally the thermal  efficiency of the engine is  

   [tex]\eta_t = \frac{Q - Q_l}{Q}[/tex]

Here  [tex]Q_l[/tex] is the heat energy rejected

Generally the thermal efficiency must be less than or equal to the maximum thermal  efficiency

So

       [tex]\frac{Q - Q_l}{Q} \le 0.4[/tex]

=>    [tex]\frac{1000 *10^{3} - Q_l}{1000 *10^{3} } \le 0.4[/tex]

the change in inequality sign is because [tex]1000*10^{3}[/tex]  which was dividing started multiplying

=>    [tex]Q_l \ge 1000*10^{3} - 400*10^{-3}[/tex]

=>  [tex]Q_l \ge 600*10^{3} \ J[/tex]

=>  [tex]Q_l \ge 600\ k J[/tex]

Tell which is the answer
help please

Answers

Answer: a constant? im not sure that just sounds like itd be right.

Explanation:

Answer:

b

Explanation:

because he isn't moving

A block is attached to one end of a spring with the other end of the spring fixed to a wall. The block is vibrating horizontally on a frictionless surface. If the mass of the block is 4.0 kg, the spring constant is k

Answers

Complete Question

A block is attached to one end of a spring with the other end of the spring fixed to a wall. The block is vibrating horizontally on a frictionless surface. If the mass of the block is 4.0 kg, the spring constant is k = 100 N/m, and the maximum distance of the block from the equilibrium position is 20 cm, what is the speed of the block at an instant when it is a distance of 16 cm from the equilibrium position?

Answer:

The velocity is [tex]v = 0.6 \ m/s[/tex]

Explanation:

From the question we are told that

  The mass of the block is  m =  4.0 kg

  The spring constant is k =  100 N/m

  The maximum distance of the block from equilibrium position is  d = 20 cm =0.20 m

   The distance considered is  [tex]d_k = 16 \ cm = 0.16 \ m[/tex]

Generally the maximum energy stored in the spring is mathematically represented as

      [tex]E = \frac{1}{2} * k * d^2[/tex]

=>  [tex]E = \frac{1}{2} *100 * 0.2^2[/tex]

=>  [tex]E = 2.0 \ J[/tex]

Gnerally according to the law of energy conservation

   The energy maximum energy of  the spring = energy of  the spring at [tex]d_k[/tex] + energy of the block at [tex]d_k[/tex]

Here energy of the block at [tex]d_k[/tex] is mathematically represented as

        [tex]K_1 = \frac{1}{2} mv^2[/tex]

=>    [tex]K_1 = \frac{1}{2} * 4* v^2[/tex]

=>    [tex]K_1 = 2v^2[/tex]

Generally the energy of the spring at [tex]d_k[/tex] is mathematically represented as

      [tex]E_2 =\frac{1}{2} * k * d_k^2[/tex]

=>    [tex]E_2 =\frac{1}{2} * 100 * (0.16)^2[/tex]

=>    [tex]E_2 =1.28 \ J[/tex]

So

       [tex]2.0 = 1.28 + 2v^2[/tex]

=>    [tex]v = 0.6 \ m/s[/tex]

     

   

What causes tides to occur in the ocean?

Waves
Wind
Gravitational pull
Coriolis effect

Answers

Answer:

Gravitational pull

Explanation:

The moon pulls the tides

Answer: gravitational pull

Tides are caused by a gravitational pull from the Moon. Ocean/bay tides rise because of this pull for the gravity under the water. This can happen every day up to 6 times.

Explain which planets have seasons and why some planets have none at all.

Discuss which planet has seasons most similar to earth and why.

Discuss additional factors that some planets have that affect their seasons.

What fact about other planet’s seasons most surprised you and what did you find the most interesting? Why?

Answers

Answer:

Some planets have seasons some don't bc of the distance from the sun some of them are too cold or too hot to have seasons

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