An object is dropped without initial speed
from a height of 20 m above ground and falls
with a constant acceleration of 10 m.s-2.
a. How long does it take the object to
reach the ground?
b. What is its speed upon reaching
ground?

Answers

Answer 1

Answer:

a. t = 2 s

b. vf = 20 m/s

Explanation:

a.

We can the second equation of motion to find out the time to reach the ground:

[tex]h = v_it + \frac{1}{2}at^2[/tex]

where,

h = height = 20 m

vi = initial velocity = 0 m/s

t = time taken to reach the ground = ?

a = acceleration = 10 m/s²

Therefore,

[tex]20\ m = (0\ m/s)t+\frac{1}{2} (10\ m/s^2)t^2\\\\t^2 = \frac{20\ m}{5\ m/s^2}\\\\t = \sqrt{4\ s^2}[/tex]

t = 2 s

b.

Here, we will use the first equation of motion to find the final speed:

[tex]v_f = v_i + at\\v_f = 0\ m/s + (10\ m/s^2)(2\ s)[/tex]

vf = 20 m/s


Related Questions

What is meant by a colored shadow? If "shadow" means
"absence of light," how can a shadow have a color?

Answers

Explanation:

Red, green, and blue are therefore called additive primaries of light. ... When you block two lights, you see a shadow of the third color—for example, block the red and green lights and you get a blue shadow. If you block only one of the lights, you get a shadow whose color is a mixture of the other two.

First, your definition of a shadow is incorrect. A shadow is an area that receives less light than its surroundings because a specific source of light is blocked by whatever is "casting" the shadow. Your example of being outside reveals this. The sky and everything around you in the environment (unless you are surrounded by pitch black buildings) is sending more than enough light into your shadow, to reveal the pen to your eyes. The sky itself diffuses the sunlight everywhere, and the clouds reflect plenty of light when they are not directly in front of the Sun.

If you are indoors and have two light bulbs, you can throw two shadows at the same time, possibly of different darknesses, depending on the brightness of the light bulbs.

It can take a lot of work to get a room pitch black. One little hole or crack in some heavy window curtains can be enough to illuminate the room. There are very few perfectly dark shadows.

hi i need to pass this test im being timed please help

Answers

Answer:

C

Explanation:

All matter is NOT composed of __________.
A. protons
B. neutrons
C. sodium
D. electrons

(CORRECT ANSWER ONLY)

Answers

Answer:

C.

Explanation:

Answer:C

Explanation:

A book falls from a shelf what would have the greatest effect on the velocity of the book as it falls to the ground

Answers

Here we can use standard formula for motion with an acceleration: V = gt.
All we need is to find the time of falling t. We know that H = (gt^2)/2.
So, t = sqrt(2H/g) = sqrt(2*1.6/9.8) = 0,571 s.
At last, V = gt = 9.8*0.571 = 5,596 m/s.

acentripetal = var
1). A car goes around a curve at 20 m/s. If the radius of the curve is 25 m, what is
the centripetal acceleration of the car?
1. Picture
2. Knowns/Unknowns:
4. Substitution
E
25.0m
W
S
6. Units
3. Formula
5. Solution
anotant speed of 8 m/s in a vertical circle of​

Answers

Answer:

Centripetal acceleration = 16 m/s²

Explanation:

Given the following data;

Velocity = 20 m/s

Radius, r = 25 m

To find the centripetal acceleration;

Mathematically, centripetal acceleration is given by the formula;

Centripetal acceleration = velocity²/radius

Centripetal acceleration = 20²/25

Centripetal acceleration = 400/25

Centripetal acceleration = 16 m/s²

q=mcAt

Calculate the amount of heat gained by 114.32 grams of water at 14.85C raised to 18.0C. The heat capacity of water is 4186J/kgC.

Answers

Answer:

1.51 × 10⁶ kJ

General Formulas and Concepts:

Stoichiometry

Using Dimensional Analysis

Thermochemistry

Specific Heat Formula: q = mcΔT

q is heat (in J)m is mass (in g)c is specific heat formula (in J/g °C)ΔT is change in temperature (in °C)

Explanation:

Step 1: Define

[Given] m = 114.32 g

[Given] c = 4186 J/kg °C

[Given] ΔT = 18.0 °C - 14.85 °C = 3.15 °C

[Solve] q

Step 2: Convert Pt. 1

1 kg = 1000 g

[tex]\displaystyle 4186 \ J/kg \ ^\circ C(\frac{1000 \ g}{1 \ kg}) = 4186000 \ J/g \ ^\circ C[/tex]

Step 3: Solve

Substitute in variables [Specific Heat Formula]:                                            q = (114.32 g)(418600 J/g °C)(3.15 °C)Multiply:                                                                                                             q = (4.78544 × 10⁸ J/°C)(3.15 °C)Multiply:                                                                                                             q = 1.50741 × 10⁹ J

Step 4: Convert Pt. 2

1000 J = 1 kJ

[tex]\displaystyle 1.50741 \cdot 10^9 \ J(\frac{1 \ kJ}{1000 \ J}) = 1.50741 \cdot 10^6 \ kJ[/tex]

Step 5: Check

Follow sig fig rules and round. We are given 3 sig figs as our lowest.

1.50741 × 10⁶ kJ ≈ 1.51 × 10⁶ kJ

a crane lifts a 450kg concrete to the top of a 50m building in 5s.assuming g=10m/s²,calculate a,the potential energy if the concrete​

Answers

Answer:

The answer is 225,000Joules

(Ecology) Food Chain lab Gizmo:
Before you interact with the simulation, what are your expecations? How will the food chain be effected if one organisim's population is altered? In your response, select one organisim (grass, rabbit, snake, hawk) and give a 3 sentence response on how you think a change in population of this organisim will impact the rest of the food chain.

Answers

Answer:

If the population of rabbits was altered then the food chain would be affected because if the population decreased then the animals that prey on rabbits wouldn't have as much food as they used to so the predators of the rabbits would decrease. If the population increased then the animals that prey on rabbits would increase. Overall, if rabbits had a change in population then the food chain would become effected, because if rabbits decrease then their predators decrease in population as well, the same goes for an increase in population.

(hope this helped!)

1. Which of the following is
a reason you should drink water everyday?
A. Water praites uitamins.
B. Water proldes nutrients for daily functions
c Water praides energy
D. Water helps ashion gons and the spinal
cord
.

Answers

Answer:

B

Explanation:

Water is essential to most bodily functions.

Two vehicles A and B accelerate uniformly from rest.
Vehicle A attains a maximum velocity of 30ms - in los
while B attains a maximum velocil) ol 40ms in the same
time. Both vehicles maintain these velocities for 6s belore
they are decelerated to rest in 6s and 4s respectively
Sketch on the same axes, velocity time graphs
for the motion of the vehicles
Calculate the velocity of each vehicle 18s aftur
the start. (VA
= 20ms -land vs
and vs = 20ms-')
How far will the two vehicles be from one
another during the moment in (ii) above?
(SA = 380m and SB
= 500m: SAB
120m). plz help​

Answers

Answer:

(i) Please find attached the required velocity time graphs plotted with MS Excel

(ii) The velocity of vehicle A at the 18th second = 20 m/s

The velocity of vehicle B at the 18th second = 0 m/s

(iii) The distance between the two vehicles at the moment in (ii) above is 60 meters

Explanation:

The given parameters of the motion of vehicles A and B are;

The acceleration of vehicles A and B = Uniform acceleration starting from rest

The maximum velocity attained by vehicle A = 30 m/s

The time it takes vehicle A to attain maximum velocity = 10 s

The maximum velocity attained by vehicle B = 30 m/s

The time it takes vehicle B to attain maximum velocity = The time it takes vehicle A to attain maximum velocity = 10 s

The time duration vehicle A maintains its maximum velocity = 6 s

The time duration vehicle B maintains its maximum velocity = 4 s

(i) From the question, we get the following table;

[tex]\begin{array}{ccc}Time &V_A&V_B\\0&0&0\\10&30&40\\14&30&40\\16&30&20\\18&20&0\\22&0&\end{array}[/tex]

From the above table the velocity time graphs of vehicles A and B is created with MS Excel and can included here

(ii) The velocity of vehicle A at the start = 0 m/s

After accelerating for 10 seconds, the velocity of vehicle A = The maximum velocity of vehicle A = 30 m/s

The maximum velocity is maintained for 6 seconds which gives;

At 10 s + 6 s = 16 s, the velocity of vehicle A = 30 m/s

The time it takes vehicle A to decelerate to rest = 6 s

The deceleration of vehicle A, [tex]a_A[/tex] = (30 m/s - 0 m/s)/(6 s) = 5 m/s²

Therefore, we get;

v = u - [tex]a_A[/tex]·t

At the 18th second, the deceleration time, t = 18 s - 16 s = 2 s

u = 30 m/s

∴ v₁₈ = 30 - 5 × 2 = 20

The velocity of vehicle A at the 18th second, [tex]V_{18A}[/tex] = 20 m/s

For vehicle B, we have;

At the 14th second, the velocity of vehicle B = 40 m/s

Vehicle B decelerates to rest in, t = 4 s

The deceleration of vehicle B, [tex]a_B[/tex] = (40 m/s - 0 m/s)/(4 s) = 10 m/s²

For vehicle B, at the 18th second, t = 18 s - 14 s = 4 s

∴ [tex]v_{18B}[/tex] = 40 m/s - 10 m/s² × 4 s = 0 m/s

The velocity of the vehicle B at 18th second, [tex]v_{18B}[/tex] = 0 m/s

(iii) The distance covered by vehicle A up to the 18th second is given by the area under the velocity-time graph as follows;

The area triangle A₁ = (1/2) × 10 × 30 = 150

Area of rectangle, A₂ = 6 × 30 = 180

Area of trapezoid, A₃ = (1/2) × (30 + 20) × 2 = 50

The distance covered in the 18th second by vehicle [tex]S_A[/tex] = A₁ + A₂ + A₃

∴ [tex]S_A[/tex] = 150 + 180 + 50 = 380

The distance covered in the 18th second by vehicle [tex]S_A[/tex] = 380 m

The distance covered by the vehicle B in the 18th second is given by the area under the velocity time graph of vehicle B as follows;

Area of trapezoid, A₅ = (1/2) × (18 + 4) × 40 = 440

The distance covered by the trapezoid, [tex]S_B[/tex] = 440 m

The distance of the two vehicles apart at the 18t second, [tex]S_{AB}[/tex] = [tex]S_B[/tex] - [tex]S_A[/tex]

∴ [tex]S_{AB}[/tex] = 440 m - 380 m = 60 m

The distance of the two vehicles from one another at the 18th second, [tex]S_{AB}[/tex] = 60 m.

An orange might roll of your cafeteria try when you stop suddenly because of

Answers

Answer:

Explanation:

Newton's first law of motion states that an object in motion stays in motion. The orange is moving and then the tray stops making the orange move forward because of inertia.

Answer:

The off the tray due to the inertia of motion

Explanation:

As we suddenly stop, the tray and our body comes to rest instantly they are in contact. The placed on tray and keeps moving due to the inertia of motion and hence roll of your tray

A car has a mass of 2,000 kg and is traveling at 28m/s. What is the car’s kinetic energy?

984,000 J
784,000 J
484,000 J

Answers

Answer: i am not sure

Explanation: i am not sure

According to the law of reflection, what is the angle of incidence?

It is the angle the incident ray makes with a line drawn perpendicular to the viewer.

It is the angle the incident ray makes with a line drawn perpendicular to the reflecting surface.

It is the angle the incident ray makes with a line drawn parallel to the reflecting surface.

Answers

Answer:

It is the angle the incident ray makes with a line drawn perpendicular to the reflecting surface

What was the initial velocity of a rock throw upwards if the velocity after 8 s is 90m/s?

Answers

Answer:

Initial velocity of rock = 11.6 m/s

Explanation:

Given:

Final velocity of rock = 90 m/s

Time taken by rock = 8 seconds

Find:

Initial velocity of rock

Computation:

Using first equation of motion;

v = u + at

For rock

v = u + gt

Acceleration due to gravity = 9.8 m/s²

90 = u + (9.8)(8)

90 = u + 78.4

u = 90 - 78.4

u = 11.6

Initial velocity of rock = 11.6 m/s

Two resistors, one with 7.00 Ω of resistance and the other with 11.00 Ω of resistance, are connected in series to a 9.00 V battery. How much power is dissipated by these two resistors?

Answers

Answer:

4.5 W

Explanation:

Applying,

P = V²/(R₁+R₂).................. Equation 1

Where P = Power, V = Voltage, R₁ and R₂ = values of the two resistor.

From the question,

Given: V = 9.00 V, R₁ = 7.00 Ω, R₂ = 11.00  Ω

Substitute these values into equation 1

P = 9²/(7+11)

P = 81/(18)

P = 4.5 Watt.

Hence the power dessipated by the two resistors is 4.5 watt

what are the four eaemts

Answers

Answer:

The Four Elements in Everyday Life.

First Element: Earth. The earth is full of a wide variety of rocks and minerals which provides the soil to grow vegetation and support life. The two ...

Second Element: Water.

Third Element: Air.

Fourth Element: Fire.

Hope this help you!:)

The liquid pressure exerted in one direction only​

Answers

the pressure exerted by a liquid on an object increases as we go more deep into the liquid and this pressure is called as hydro static pressure . if we consider a part of the static fluid then all the horizontal forces will cancel out while the vertical forces will add vectorilly and due to which a pressure difference is created . so as we go more deep the pressure increase .

Now pressure is a scalar so it does not depend on direction but when two objects are on the same level with respect to a reference level then the pressure exerted on them by fluid is always the same . hope this helps

it is possible for an excited hydrogen atom to return to the ground state by the emission of a single photon. regardless of the initial excited state, this electron transition produces a spectral line in which region of the electromagnetic spectrum?
1. ultraviolet
2. infrared
3. visible light
4. radio waves

Answers

Answer:

1. Ultraviolet

Explanation:

This is called the Balmer series. Transitions ending in the ground state (n = 1) are called the Lyman series, but the energies released are so large that the spectral lines are all in the ultraviolet region of the spectrum.

It is possible for an excited hydrogen atom to return to the ground state by the emission of a single photon. Regardless of the initial excited state, this electron transition produces a spectral line in ultraviolet region of the electromagnetic spectrum. The correct option is 1.

What is electromagnetic spectrum?

An electromagnetic spectrum is the spectrum consisting of the colors of radiation of a white light with different wavelengths.

It is possible for an excited hydrogen atom to return to the ground state by the emission of a single photon.

The transitions which ends in the ground state (n = 1) are termed as Lyman series. Energy released is large in amount so that the spectral lines fall in the ultraviolet region of the spectrum.

Thus, regardless of the initial excited state, this electron transition produces a spectral line in ultraviolet region of the electromagnetic spectrum. The correct option is 1.

Learn more about electromagnetic spectrum.

https://brainly.com/question/23727978

#SPJ2

16= ? x4

What Makes The Equation True? Comment pls

Answers

Answer:

4

4x4=16

Explanation:

answer:
4
explanation:
16 = ? • 4
4 • 4 = 16

The______is the particle in the nucleus with a positive charge.
Answer here

Answers

Answer:

proton proton proton proton

Which of the following situations would have the fastest speed?

Sound in a vacuum
Light in a vacuum
Sound in a solid
Light in a solid

Answers

sound in vacuum

Explanation:

because as u turn a vacuum on it make noise instant when u make sound from a solid object it takes a while to do thing starting slow then going fast in different objects

Can work ever be negative?
A)Yes, when force is negative
B)Yes, when displacement is negative
C)Yes, when cos(e) is negative
D)No, work can never be negative

Answers

Answer:

B yes when displacement is negative

Much of the pollution in out oceans comes from:
a.) car exhaust
b.) organic pesticides
c.) sewage and industrial waste
d.) fumes and smog ​

Answers

Answer:

c.) sewage and industrial waste

help asap!
three resistors of 20. ohms, 30. ohms, and 60. ohms, respectively, are connected in series with a battery. a current of 2.0 amperes will flow through this circuit when the potential difference of the battery is a. 20.V b. 220 V c. 110 V d. 10.V.

Answers

Answer:

b. 220 V

Explanation:

Let resistors be R1, R2, and R3 respectively.

Given the following data;

R1 = 20 ohms

R2 = 30 ohms

R3 = 60 ohms

Current = 2 Amperes

To find the voltage;

First of all, we would determine the total effective resistance (RT).

For series circuit;

RT = R1 + R2 + R3

RT = 20 + 30 + 60

RT = 110 Ohms

Next, we find the voltage using the formula;

Voltage = current * resistance

Voltage = 2 * 110

Voltage = 220 Volts


Which is true according to the law of conservation of energy?
ОА.
In a closed system, the total amount of energy in the universe keeps on changing
The supply of energy is limited, so it is essential to conserve it.
OB.
OC.
In a closed system, energy can be created and destroyed.
0In a closed system, energy cannot be used faster than it is created

O E.
In a closed system, the total energy always remains constant OD

Answers

Answer: Last option (total energy always remains constant)

Explanation:

The Law of Conservation basically states that energy cannot be created or destroyed. Only changed from one form to another (potential, kinetic, chemical, etc.) so it makes sense that the net energy is unchanging.

1. When energy is transformed from one form to another it is called
A. transformation of energy
B. conservation of energy
C. consumed energy
D. wasted enenergy​

Answers

Answer:

A)

Explanation:

Energy transformation is when energy changes from one form to another.

What is the wave length of the instruments playing at this frequency if the speed of sound is 342m/s

Answers

Answer:

6.84m

Explanation:

The question you asked didn't specify the frequency of the instrument, so I'm going to assume for the question sake.

For the question, we will use the formula

λ = V/F, where

λ = the wavelength we're looking for

V = Velocity of the sound

F = frequency of sound.

Assuming that the frequency of the instrument is 50Hz.

λ = 342/50

λ = 6.84 m

Find the height of a cylinder with a volume of 220inand a radius of 3 inches. Round
your answer to the nearest hundredth.
07.78 inches
6.93 inches
5.00 inches
9.84 inches

Answers

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Given :

volume = 220 in³radius = 3 in

Solution :

[tex] \large\boxed{ \mathrm{volume = \pi {r}^{2}h }}[/tex]

[tex]220 = \dfrac{22}{7} \times 3 \times 3 \times h[/tex]

[tex] \dfrac{220 \times 7}{22 \times 3 \times 3} = h[/tex]

[tex] \dfrac{10 \times 7}{3 \times 3} = h[/tex]

[tex]h = \dfrac{70}{9} [/tex]

[tex] \boxed{h \: = 7.78 \: \: in}[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

0.078 inches

Explanation:

The volume of a cylinder is [tex]V=\pi r^{2} h[/tex]. [tex]r[/tex] is the radius of the cylinder, [tex]h[/tex] is the height of the cylinder, and [tex]V[/tex] is the total volume.We can divide both sides by [tex]9\pi[/tex] to isolate the height. We now have [tex]\frac{220}{9\pi }=h[/tex].We can plug in [tex]220[/tex] for the value of [tex]V[/tex], and insert 3 as [tex]r[/tex]. Now, we have [tex]220 = \pi (3^2)(h)[/tex].We can simplify the right side by finding the value of [tex]3^2[/tex], which is [tex]3*3[/tex], or [tex]9[/tex]. We now have [tex]220 = 9\pi h[/tex].Divide both sides by [tex]9\pi[/tex] so we can isolate the height! We now have [tex]\frac{220}{9\pi }=h[/tex].It would be best to use a calculator at this point. Plug the above equation into a calculator; otherwise, replace [tex]\pi[/tex] with [tex]3.14[/tex] and simplify the fraction. You should get about [tex]07.7809...[/tex] which we can round to the nearest hundredths (since this is Geometry, I am assuming you know how to round).Our final answer is [tex]07.78[/tex] inches.

Hopefully this was of use!

Volcanoes often form belts along plate boundaries. How does the piece of art illustrate that this statement holds true for North America? explain.

Answers

Answer:

The formation of volcanic arcs, trenches and subsidence leads to the production of volcanic eruptions.

Explanation:

North America plate makes a convergent boundary along with the pacific oceans. The is man reason for the development of the volcanoes and the origin of the earthquakes. The collusion of both these pales leads to the formation of a volcanic ring of fire that can be seen in the pacific ocean.

What is the function of Soda Line​

Answers

Soda-Lime is a mixture of chemicals, used in granular form in closed breathing environments, such as general anesthesia, submarines, rebreathers, recompression chambers, respiratory therapy departments and xenon delivery systems, to remove carbon dioxide from breathing gases to prevent CO2 retention and carbon dioxide

Can I have brainliest please?
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Jason's area of business has recently become extremely profitable, and Ellen and Frank are so happy with the new financials that they have not closely questioned Jason about the details especially since the partners continue to receive an equal share of the business profits each of them brings in. Ellen and Frank are shocked when the FBI comes to the office one Friday afternoon and arrest Jason. The FBI also informs Ellen and Frank that the office equipment is being seized and the partnership bank accounts have been frozen. Which of the following is a correct statement of the law?a. Both Ellen and Frank can face criminal prosecution because the business was operated as a partnership.b. Ellen and Frank will not be liable for Frank's conduct because Frank independently operated his area of the business.c. Ellen and Frank should immediately file a Notice of Dissociation so that they will not be liable for Jason's conduct.d. 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