1. A 2.5 kg led projector is launched as a projectile off a tall building. At one point, as it

is flying through the air it has a velocity of 24 m/s and a height of 14 m.
a) Find the potential energy
b) Find the kinetic energy
c) Find the total mechanical energy
d) Find the potential energy at a height of 8.7 m
e) Find the kinetic energy at that same height. (Hint – the total energy is always the same
as in part c)
f) Find the velocity at that height
g) Find the velocity at a height of 11.6 m
h) At what height would the velocity be 26 m/s?
i) What is the velocity just before it smashes into the ground?
See

Answers

Answer 1

Answer:

Explanation:

I got everything but i. Don't know why but it's eluding me. So let's do everything but that.

a. PE = mgh so

   PE = (2.5)(98)(14) and

   PE = 340 J

b. [tex]KE=\frac{1}{2}mv^2[/tex] so

   [tex]KE=\frac{1}{2}(2.5)(14)^2[/tex] and

   KE = 250 J

c. TE = KE + PE so

   TE = 340 + 250 and

   TE = 590 J

d. PE at 8.7 m:

   PE = (2.5)(9.8)(8.7) and

   PE = 210 J

e. The KE at the same height:

   TE = KE + PE and

   590 = KE + 210 so

   KE = 380 J

f. The velocity at that height:

   [tex]380=\frac{1}{2}(2.5)v^2[/tex] and

   [tex]v=\sqrt{\frac{2(380)}{2.5} }[/tex] so

   v = 17 m/s

g. The velocity at a height of 11.6 m (these get a bit more involed as we move forward!). First we need to find the PE at that height and then use it in the TE equation to solve for KE, then use the value for KE in the KE equation to solve for velocity:

   590 = KE + PE and

   PE = (2.5)(9.8)(11.6) so

   PE = 280 then

   590 = KE + 280 so

   KE = 310 then

   [tex]310=\frac{1}{2}(2.5)v^2[/tex] and

   [tex]v=\sqrt{\frac{2(310)}{2.5} }[/tex] so

   v = 16 m/s

h. This one is a one-dimensional problem not using the TE. This one uses parabolic motion equations. We know that the initial velocity of this object was 0 since it started from the launcher. That allows us to find the time at which the object was at a velocity of 26 m/s. Let's do that first:

   [tex]v=v_0+at[/tex] and

   26 = 0 + 9.8t and

   26 = 9.8t so the time at 26 m/s is

   t = 2.7 seconds. Now we use that in the equation for displacement:

   Δx = [tex]v_0t+\frac{1}{2}at^2[/tex] and filling in the time the object was at 26 m/s:

   Δx = 0t + [tex]\frac{1}{2}(-9.8)2.7)^2[/tex] so

   Δx = 36 m

i. ??? In order to find the velocity at which the object hits the ground we would need to know the initial height so we could find the time it takes to hit the ground, and then from there, sub all that in to find final velocity. In my estimations, we have 2 unknowns and I can't seem to see my way around that connundrum.


Related Questions

is the Matter is made up of motionless particles.

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Answer:

All matter is made up of atoms.

No they are all made up from atoms

An engine has an imput of 100 j and gives out 27 j of useful kenetic energy what is the efficiency of the engine

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Based on what we have learned so far, in what ways have the experiences of Asian-Canadians stayed the same over time? Why do you think these similarities exist? Please give specific examples to support your ideas.

Explanation:

What is the capacitance of a capacitor that has 7.9 x 107 C of charge and a potential
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Answers

Answer:

6.58×10⁶ F

Explanation:

Applying,

Q = CV..................... Equation 1

Where Q = charge of the capacitor, C = Capacitance of the capacitor, V = Volatage

Make C the subject of the equation

C = Q/V................. Equation 2

From the question,

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Susbtitute these values into equation 2

C = 7.9×10⁷/12

C = 6.58×10⁶ F

38. Joey set a school record for running the 200 m race. He completed the distance in
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Answers

Answer:

9.7 miles per second

Explanation:

divide 200 by 20.6

A spring extends by 10cm when a mass of 100g is attached to it. What is the spring constant?​

Answers

Answer:

10N/m

Explanation:

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10N/m


Jeremy is pushing his two children on a set of swings. He gives his daughter a push and she swings
Jeremy gives his son the same push, but he only swings about two feet high. What could account f
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Jeremy's daughter has more mass, so it takes less force to get her into the air.
Jeremy's son has more mass, so it would take more force to reach the same height as his da
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Jeremy's son has less mass, so it would take more force to reach the same height as his da
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Jeremy’s son has more mass, so it would take more forever to reach the same height as his daughter

Round off the following numbers to three significant digits:
43.659

Answers

Answer: 43.7

Explanation: Simply round the number so that there are only three digits in the number.

We have that 43.659 rounded to three significant digits is

[tex]43.659=43.7[/tex]

From the Question we are Given

Integer=43.659

To round off to three significant digits means to represent only three digits

Therefore

43.659 in  three digits is

[tex]43.659=43.7[/tex]

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If 175 kJ of heat caused a chunk of ice at 0°C to melt to liquid water at 0°C, how many moles were in the ice? How many grams of ice? (Note: molar mass of ice/water is 18.02 g/mol)

Answers

Answer is 29.1 mol or 525 g

Explanation:

Pls explain the nature of the image formed by the pin-hole camera

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Answer:

→Inverted image ( upside down )

→Real image ( because it is formed on the screen )

→Magified image ( image size is greater than object size)

. What is the mass of an object if it is pulled by a 5 Newton force and it accelerates at a rate of 20 m/s/s?
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Answers

F = ma

so, we can write it as;

= 5 = m × 20

= 5/20 = m

= 1/4 = m

= 0.25 kg = m


[tex]what \: is \: light \: {?} [/tex]

Answers

Light is a form of electromagnetic radiation with a wavelength which can be detected by the human eye. It is a small part of the electromagnetic spectrum and radiation given off by stars like the sun. Animals can also see light. The study of light, known as optics, is an important research area in modern physics.

Answer:

Light is a form of energy which produces the sensation of sight .

hope it is helpful to you

what happens to the piece of plastic?

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Answer:

it reheated and use form another

The Jalapeño pepper is verry spicey almost as spicey as McDonald’s sprite

Block A of 5 kg with a speed of 3 m/s collides with block B of 10 kg that is stationary. After the collision, block B travels with a speed of 2 m/s

Answers

Answer:

-1m/s

Explanation:

We can calculate the speed of block A after collision

According to collision theory:

MaVa+MbVb = MaVa+MbVb (after collision)

Substitute the given values

5(3)+10(0) = 5Va+10(2)

15+0 = 5Va + 20

5Va = 15-20

5Va = -5

Va = -5/5

Va = -1m/s

Hence the velocity of ball A after collision is -1m/s

Note that the velocity of block B is zero before collision since it is stationary

why colour of sky appear blue ¯\_(ツ)_/¯​

Answers

The Short Answer: Gases and particles in Earth's atmosphere scatter sunlight in all directions. Blue light is scattered more than other colors because it travels as shorter, smaller waves. This is why we see a blue sky most of the time

Explanation:

During the day the sky looks blue because it's the blue light that gets scattered the most. It's redirected into many different directions all over the sky, whereas the other wavelengths aren't scattered as much. Sunlight reaches Earth's atmosphere and is scattered in all directions by all the gases and particles in the air. Blue light is scattered more than the other colors because it travels as shorter, smaller waves. This is why we see a blue sky most of the time. White light is composed of seven light and among them, blue light scatters the most as the wavelength of the blue light is comparable to the size of particles in the atmosphere. So, the sky appears blue. Hence, the sky appears blue because the fine particles in the atmosphere scatter light of shorter wavelengths! :D

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Answers

Answer:

Explanation:

I'm assuming your charge is in Coulombs so I will proceed that way. The formula for this electric field problem is

[tex]E=\frac{kQ}{r^2}[/tex] where k = 9.0 × 10⁹. Filling in:

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What is the force weight of a jaguar who jumps 3 meters to a tree branch with 2670 J of work?

Answers

Answer:

[tex]we \: know \: energy \: = \: force \: \times distance \\ e = f \times d \\ so \: f \: = \frac{e}{d} \\ so \: th \: force \: here \: = (\frac{2670}{3}) newton \\ = 890newton[/tex]

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PLEASE HELP!!! I have an electromagnet. If I detach the two wires from the battery and reattach them to the opposite terminals, how would that change the current and magnetic field?

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Explanation:

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Answer:

In the first one circle : luster

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Answers

Answer:

Truss bridge, bridge with its load-bearing structures composed of a series of wooden or metal triangles, known as trusses. Given that a triangle cannot be distorted by stress, a truss gives a stable form capable of supporting considerable external loads over a large span.

Explanation:

Load-bearing capacity of truss bridges is huge due to the structure of interconnecting triangles. The structure effectively manages both compression and tension by spreading the load from the roadway throughout its intricate structure

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Substance A

Substance B

Substance C

Answers

Answer:

a

Explanation:

because it has  compact  molecules  

The apparent depth of an object at the bottom of a tank filled with a liquid of refractive index 1.3 is 7.7 cm. What is the actual depth of the liquid in the tank?​

Answers

[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}}[/tex]

The apparent depth of an object at the bottom of a tank filled with a liquid of refractive index 1.3 is 7.7 cm. What is the actual depth of the liquid in the tank?

[tex]{\bold{\blue{GIVEN}}}[/tex]

REFRACTIVE INDEX = 1.3

APPARENT DEPTH = 7.7 cm

[tex]{ \bold{\green{To \: Find}}}[/tex]

REAL DEPTH OF THE OBJECT.

[tex]{\red{FORMULA \: \: USED }}[/tex]

[tex]Reflective \: Index = \frac{Real \: Depth}{Apparent \: Depth } [/tex]

[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]

Refractive Index = 1.3

Apparent Depth = 7.7 cm

Putting the values in the formula:-

[tex]Reflective \: Index = \frac{Real \: Depth}{Apparent \: Depth } \\ \\ 1.3 = \frac{Real \: Depth}{7.7 \: cm} \\ \\ 1.3 \times 7.7 = Real \: Depth \\ \\ 10.01 \: \: cm = Real \: Depth[/tex]

The energy stored by any pair of positive charges is inversely proportional to the distance between them, and directly proportional to their charges. Three identical point charges start at the vertices of an equilateral triangle, and this configuration stores 15 Joules of energy. How much more energy, in Joules, would be stored if one of these charges was moved to the midpoint of the opposite side

Answers

Answer:

 U = 25 J

Explanation:

The energy in a set of charges is given by

          U = [tex]k \sum \frac{q_i}{r_i}[/tex]

in this case we have three charges of equal magnitude

          q = q₁ = q₂ = q₃

with the configuration of an equilateral triangle all distances are worth

          d = a

          U = k ( [tex]\frac{q_1q_2}{ r_1_2 } + \frac{q_1q_3}{r_1_3} + \frac{q_2q_3}{r_2_3}[/tex] )

we substitute

           15 = k q² (3 / a)

            k q² /a = 5

For the second configuration a load is moved to the measured point of the other two

          d₁₃ = a

The distance to charge 2 that is at the midpoint of the other two is

          d₁₂ = d₂₃ = a / 2

           U = k (\frac{q_1q_2}{ r_1_2 } + \frac{q_1q_3}{r_1_3} + \frac{q_2q_3}{r_2_3})

            U = k q² (  [tex]\frac{2}{a} + \frac{1}{a} + \frac{2}{a}[/tex] )

            U = (kq² /a) 5

substituting

            U = 5 5

            U = 25 J

Explain why a smart meter monitors the amount of electrical energy being used as well as the time at which it is being used.

Answers

Answer:

Smart Meters measure both the amount of electrical energy used and the time at which it is being used because they are used to monitor the energy consumption at real time, such that the time of use of energy can be monitored, thereby enabling several utility functions for load sharing and maintenance, including;

i) Time of use  tariffs, where energy is billed based on peak and off peak periods, which increases profits to the producer, reduces cost for some consumers, encourages more even hourly and daily usage of electricity, lower maintenance cost, lower capital expenditure for peak stations, and reduces carbon emission

ii) Guarantees more accurate energy consumption measurement and billing

iii) Accurate crew dispatch to fault locations

iv) Prevent fraud due to tampering with meter

v) Increase customer confidence in billing

Explanation:

Tenemos un Cable de cobre de 1 km de longitud cuya sección es de 2 milímetros al cuadrado y queremos saber la resistencia que señalara el ohmetro , su temperatura es de 20°

Answers

Answer:

8.5 Ω

Explanation:

La resistencia de un material es directamente proporcional a su longitud e inversamente proporcional al área de la sección transversal.

La fórmula de la resistencia (R) viene dada por:

R = ρL/A

Donde ρ es la resistividad del material, L es la longitud del material y A es el área de la sección transversal del material.

Dado que:

L = 1 km = 1000 m, A = 2 mm² = 2 * 10⁻⁶ m², ρ (cobre) = 1.7 * 10⁻⁸ Ωm

Sustituyendo da:

R = 1,7 * 10⁻⁸ * 1000/2 * 10⁻⁶

R = 8.5 Ω

What the effect positively charged objects and negatively charged objects have on each other

Answers

Answer:

often Positive and negative charges balance each other which gives an overall neutral charge. if they are unbalanced then it will result in static electricity.

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Answers

10. True

11. True

12. True

13. False

14. False

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Answer:

The factors affecting climate are latitude, altitude, land and water distribution, distance from the sea, distance from the sun, prevailing winds and ocean currents, surface covering the land, volcanism, solar constant sunspots, wind direction and nature of mountain chains, mountain barriers.

There are six major climatic controls. They are:

Latitude: As the earth is round, sunlight does not reach everywhere equally. The temperature decreases as we move from the equator to the poles.

Altitude: As we move from the surface of the earth to the higher altitudes, the temperature decreases.

Pressure and wind system: The pressure and wind system of any area depend on the latitude and altitude of that place. Thus, it influences the temperature accordingly.

Distance from the sea: Coastal regions are cooler as compared to interior regions. As the distance from the sea increases, its influence decreases and the people experience extreme weather conditions.

Ocean currents: Cold ocean currents flowing over a region will decrease the temperature of that area whereas warm currents will increase the temperature.

Relief features: Relief features are the barriers that block currents from entering the country. High mountains act as barriers for cold or hot winds.

A scientist recorded the number of geese found in a park on various days of the week. The data are shown below. 22, 25, 29, 21, 33, 28, 28 What is the range of these data? O A. 33 O B. 7 O C. 21 O D. 12

Answers

Answer: it's 12

Explanation:

Range is the difference between the highest and lowest numbers.

33-21=12

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Answers

First of all, what a weight is? weight is m × g.. and when a person is in space then the force of gravity isn't acting on him or her, so yeah it will not have weight, but remember gravity is a very very low, now if a body has more mass, more gravity will act on it right? just imagine the mass of a person and that of earth.. now yes, earth will do exert a force on the astronaut but is negiligable.

kinds of solar power stations

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There are Three main types of concentrating solar thermal power systems: linear concentrating systems, which include public Troughs and linear fresnel reflectors. solar power towers.
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