Extra
A stone is dropped from a balloon that is descending at a uniform rate of
12 m/s when it is 1000 m from ground.
a. Calculate the velocity and position of the stone after 10 s and the time
it takes the stone to hit the ground.
b. Solve the same problem as for the case of a balloon rising at the given
velocity​

Answers

Answer 1

Answer:

Assume that [tex]g =9.81\; \rm m\cdot s^{-1}[/tex], and that the air resistance on the stone is negligible.

a.

Height of the stone: [tex]389.5\; \rm m[/tex] (above the ground.)

Velocity of the stone: [tex]\left(-110.5\; \rm m \cdot s^{-1}\right)[/tex] (the stone is travelling downwards.)

b.

Height of the stone: [tex]629.5\; \rm m[/tex] (above the ground.)

Velocity of the stone: [tex]\left(-86.5\; \rm m \cdot s^{-1}\right)[/tex] (the stone is travelling downwards.)

Explanation:

If air resistance on the stone is negligible, the stone would be accelerating downwards at a constant [tex]a = -g = -9.81\; \rm m \cdot s^{-2}[/tex].

Let [tex]h_0[/tex] denote the initial height of the stone (height of the stone at [tex]t = 0[/tex].)

Similarly, let [tex]v_0[/tex] denote the initial velocity of the stone.

Before the stone reaches the ground, the height [tex]h[/tex] (in meters) of the stone at time [tex]t[/tex] (in seconds) would be:

[tex]\displaystyle h(t) = -\frac{1}{2}\, g \cdot t^{2} + v_0 \cdot t + h_0[/tex].

Similarly, before the stone reaches the ground, the velocity [tex]v[/tex] (in meters-per-second) of the stone at time [tex]t[/tex] (in seconds) would be:

[tex]v(t) = -g\cdot t + v_0[/tex].

In section a., [tex]h_0 = 1000\; \rm m[/tex] while [tex]v_0 = -12\; \rm m\cdot s^{-1}[/tex] (the stone is initially travelling downwards.) Evaluate both [tex]h(t)[/tex] and [tex]v(t)[/tex] for [tex]t = 10\; \rm m \cdot s^{-1}[/tex]:

[tex]\begin{aligned} h(t) &= -\frac{1}{2}\, g \cdot t^{2} + v_0 \cdot t + h_0 \\ &= -\frac{1}{2}\ \times 9.81\; \rm m\cdot s^{-2}\times (10\; \rm s)^{2} \\&\quad\quad + \left(-12\; \rm m \cdot s^{-1}\right) \times 10\; \rm s + 1000\; \rm m \\[0.5em] &= 389.5\; \rm m \end{aligned}[/tex].

Indeed, the value of [tex]h(t)[/tex] at [tex]t = 10\; \rm m \cdot s^{-1}[/tex] is greater than zero. The stone hasn't yet hit the ground, and both the representation for the height of the stone and that for the velocity of the stone are valid.

[tex]\begin{aligned} v(t) &= -g\cdot t + v_0 \\ &= -9.81\; \rm m\cdot s^{-2}\times 10\; \rm s - 12\; \rm m\cdot s^{-1} \\ &= -110.5\; \rm m \cdot s^{-1} \end{aligned}[/tex].

The value of [tex]v(t)[/tex] at [tex]t = 10\; \rm m \cdot s^{-1}[/tex] is negative, meaning that the stone would be travelling downwards at that time.

In section b., [tex]h_0 = 1000\; \rm m[/tex] while [tex]v_0 = 12\; \rm m\cdot s^{-1}[/tex] (the stone is initially travelling upwards.) Evaluate both [tex]h(t)[/tex] and [tex]v(t)[/tex] for [tex]t = 10\; \rm m \cdot s^{-1}[/tex]:

[tex]\begin{aligned} h(t) &= -\frac{1}{2}\, g \cdot t^{2} + v_0 \cdot t + h_0 \\ &= -\frac{1}{2}\ \times 9.81\; \rm m\cdot s^{-2}\times (10\; \rm s)^{2} \\&\quad\quad + 12\; \rm m \cdot s^{-1} \times 10\; \rm s + 1000\; \rm m \\[0.5em] &= 629.5\; \rm m \end{aligned}[/tex].

Verify that the value of [tex]h(t)[/tex] at [tex]t = 10\; \rm m \cdot s^{-1}[/tex] is indeed greater than zero.

[tex]\begin{aligned} v(t) &= -g\cdot t + v_0 \\ &= -9.81\; \rm m\cdot s^{-2}\times 10\; \rm s + 12\; \rm m\cdot s^{-1} \\ &= -86.5\; \rm m \cdot s^{-1} \end{aligned}[/tex].

Similarly, the value of [tex]v(t)[/tex] at [tex]t = 10\; \rm m \cdot s^{-1}[/tex] is negative because the stone would be travelling downwards at that time.


Related Questions

a wall is painted yellow with yellow paint. explain why the paint makes the wall look yellow

Answers

The paint makes the wall look yellow because of the pigment in it.
Because the paint has pigment in it


If there was no pigment in the paint the wall would be a dull white colour

HELPPP!!!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!


Which uses direct current?
A) A toaster oven thingy (look at pic)

B) A flashlight (look at pic)

C) A microwave (look at pic)

D) A vacuum (look at pic)

Answers

Answer:

Which uses direct current - A flash light.

Explanation:

Hope you have a great day.

A 1500 kg car accelerates at 3 m/s^2. What is the net force acting on the car?

Answers

Answer:

4500N

Explanation:

Force =mass into acceleration

So 1500 into 3 you will get 4500

A boat trip travels are 15 miles in the direction of 45° east of north for an hour the boat then turn and travels at 18 m/s in a direction 5° north of East for an hour

Answers

Answer:

Hello your question is incomplete below is the missing piece

What is the magnitude of the boat’s resultant velocity? Round your answer to the nearest whole number.

answer :  25.73 m/s

Explanation:

Given

V1 = 15 miles/hour =  6.71 m/s [ 45° EN ]

V2 = 18 m/s [ 5° NE ]

Calculate  the resultant velocity

Vr = 6.71 m/s[45°] + 18m/s[5°].

Vr = ( 6.71 *Cos45° + 6.71 *sin45°) + ( 18 *Cos5° + 18*sin5° )

Vr = ( 4.74  + 4.74 i  )+  ( 17.93 + 1.57i) = 22.67 + 12.18i.

Therefore the magnitude

= [tex]\sqrt{22.67^2 + 12.18^2}[/tex] = 25.73 m/s

Answer all of those questions and you will get the brainiest

Answers

Answers:

1) A process that occurs when an object or a particle moves, referred to as kinetic energy

2) A potential energy is a stored amount of energy that changes depending on the relative positions.

3) Potential Energy is the energy stored in an object due to its position. Kinetic Energy is the energy of motion in a moving object.

4)

  a) C and B

  b) A

  c) From B to A or from C to A

  d) From A to B or from A to C

[tex]\huge\mathfrak\green{answer}[/tex]

1) Kinetic energy of an object is the measure of the work an object can do by the virtue of its motion.

For Example : A river flowing at a certain speed comprises kinetic energy as water has certain velocity and mass.

2) Potential energy is the energy held by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.

For Example : A child at the top of the slide

3) KINETIC ENERGY

Kinetic energy is the kind of energy present in a body due to the property of its motionIt can be easily transferred from one body to anotherIt is relative with respect to natureFlowing water is one of the examples of kinetic energy

POTENTIAL ENERGY

Potential Energy is the type of energy present in a body due to the property of its stateIt is not transferableIt is non-relative with respect to natureWater present at the top of a hill is an example of potential energy

(make sure to draw a table and write them separately)

4)

a) C and B

b) A

c) B to A then C to A

d) A to B then A to C

(mark me brainliest please I need 1 more :))

[tex]\large\sf\green{thank \: you}[/tex]

Which of the following is an uncontrollable risk factor for myocardial infarction?

weight gain
age
poor diet
cigarette smoking

Answers

Age (the risk increases with age)
Age as you can control all the rest but can’t stop yourself from aging

True or false question scientists can predict when an earthquake will occur

Answers

Answer:

False

Explanation:

Neither the USGS nor any other scientists have ever predicted a major earthquake. USGS scientists can only calculate the probability that a significant earthquake will occur in a specific area within a certain number of years.

What are the energy transformations that occur during a roller coaster ride? 1 paragraph

Answers

Answer:

The movement of a roller coaster is accomplished by the conversion of potential energy to kinetic energy. The roller coaster cars gain potential energy as they are pulled to the top of the first hill. As the cars descend the potential energy is converted to kinetic energy. Roller coasters rely on gravity to take them to the end of the track. This involves two types of energy, potential energy and kinetic energy.

Explanation: my mom told me lol ..

Answer:

The movement of a roller coaster is accomplished by the conversion of potential energy to kinetic energy. The roller coaster cars gain potential energy as they are pulled to the top of the first hill. As the cars descend the potential energy is converted to kinetic energy.

Explanation:

That's gonna help right?

He likes to eat (into passive voice)​

Answers

Answer:

yes he does

Explanation:

3.The space heater in a room does not have a fan, but after a few minutes you feel warm air moving by you. What type of energy transfer?

Answers

Heat transfer

Have a good day

How much electricity is used to boil 600 g of water if the kettle has a power of 1500 W? The water boiled for 3 minutes and 9 seconds. Water density is 1000 kg/m3, specific heat of water is 4200 J/(kg· oC).

Answers

Answer:

The electrical energy consumed in boiling the water is 0.0788 kWh

Explanation:

Given;

mass of the water, m = 600 g = 0.6 kg

power rating of the kettle, P = 1500 W = 1.5 kW

specific heat capacity of water, c = 4,200 J/kg⁰C

density of water, = 1000 kg/m³

time taken to boil the water, t = 3 mins + 9 s = (3 x 60s) + 9 s = 180 s + 9 s = 189 s = [tex]189 \ s \times \frac{1 hr}{3.600 \ s} = 0.0525 \ hr[/tex]

The electrical energy consumed in boiling the water is calculated as;

E = P x t

E = 1.5 kW  x 0.0525 hr

E = 0.0788 kWh

Therefore, the electrical energy consumed in boiling the water is 0.0788 kWh

Motion is
displacement
an object you look at to determine if something is moving
a change of position in relation to another object
speed

Answers

Answer:

a change of position in relation to another object.

Explanation:

Motion can be defined as a change in the location (position) of a physical object or body with respect to a reference point.

This ultimately implies that, motion would occur as a result of a change in location (position) of an object with respect to a reference point or frame of reference i.e where it was standing before the effect of an external force.

A reference point refers to a location or physical object from which the motion (movement) of another physical object or body can be determined.

Mathematically, the motion of an object is described in terms of acceleration, time, distance, speed, velocity, displacement, position, etc.

Hence, motion is a change of position in relation to another object.

what is the average speed of an athlete who runs 1500m in 4minuites​

Answers

Answer:

375m per minute

Explanation:

Just divide 1,500 by 4 and you will get your answer!

Answer:

375 meters per minute

Explanation:

it is that much

When a warm air mass collides with a cold air mass, the warm air mass rises above the cold air mass leading too:
A) Sunny skies
B) Global warming
C) The formation of clouds and rain
D) Volcanic eruptions​

Answers

Answer: It leads to a front. A front is.., I don't know how to explain it, so I'll add a picture. Fronts are made out of clouds and usually bring rain. So the answer is C: The formation of clouds and rain.

Explanation:

Alondra applies 24 N of force to the end of a stick (a type of lever) to open a can of paint.
The lid resists with 6 N of force. What is the mechanical advantage?

Answers

Answer:

1/4

Explanation:

Mechanical Advantage = Load/Effort

Given

Effort applied = 24N

Load = 6N

Substitute

MA = 6/24

MA = 1/4

Hence the mechanical advantage is 1/4

Answer:

4

Explanation:

24n/6n=4

Answer the question?

Answers

I don’t know the answer to your question BUT DONT CLICK THE LINK THE BOT GAVE YOU THEY CAN HACK YOU JUST REPORT

Question 5
Joan wants to decrease her BMI number. How can she achieve her goal?

A. Joan can lose some weight
B. Joan can stretch and get taller
C. Joan can have her blood pressure checked.
D. Joan can take medication


Answers

A. Is the most reasonable answer consider that BMI means Body Mass Index your weight divided by your height in meters and so on B. Doesn’t work. C. B just makes more sense and D. Best to try something on your own then switching to medication

What is a soundwave please quick

Answers

In physics, sound is a vibration that propagates as an acoustic wave, through a transmission medium such as a gas, liquid or solid. In human physiology and psychology, sound is the reception of such waves and their perception by the brain.

Suppose you stand on the rim of a space station. If the radius of the station is 12,000
meters, at what tangential speed must the rim of the station move in order for you to have the same weight as on the Earth?

[HINT: F=mv2/r = mg]

Answers

Answer:

circle

Explanation:

because Earth is not oblong

Tonks changes her hair color for a party with a red color rinse. The next day, she washes the color out of her hair and it returns to its original brown color. Has a chemical change occurred? Explain your answer.

Answers

Answer: No , a chemical change has not occured as it was easily reversed.

Explanation:

Chemical change is defined as a change in which rearrangement of atoms take place and leads to formation of new substances. It can only be reversed with the help of a chemical reaction.

Physical change is defined as a change which leads to change in shape, size or state of the substance changes. No new substance is formed.It can be easily reversed.

As the hair colour was washed out and returned to its original brown colour, it was a physical change.

name one property you know about LIGHT. Explain.

Answers

Answer:

The primary properties of visible light are intensity, propagation-direction, frequency or wavelength spectrum and polarization, while its speed in a vacuum, 299 792 458 m/s, is one of the fundamental constants of nature.

Explanation:

Light is made of particles called photons, bundles of the electromagnetic field that carry a specific amount of energy. With sufficiently sensitive experiments, you can count photons or even perform measurements on a single one. Researchers have even frozen light temporarily.

Hope this Helps     :)

The diagram does not represent a real electric field because the field lines__
NEED ANSWERS NOW

Answers

Answer:

cross at many points

Explanation:

According to the diagram it does not shows the real electric field as the electric field does not intersect with each other but according to the given diagram many lines are intersected with each other

So the correct option is C as it would be crossed at many points

Hence, the same would be relevant

14. Which of the following ideas is NOT a part of cell theory?
A. There are only plant and animal cells
B. All living things contain at least one cell
C. Cells come from other cells of the same kind
D. Cells are the basic unit of structure and function of living things

Answers

Cell theory states that all living things contain at least one cell, and there are certainly more types of living things than simply plants and animals. For example bacteria and fungi.

So your answer would be A.

Answer: C

Explanation:

all the other ones are part of the cell theory

A wire has compasses placed around it and a current is passed through the wire. What happens to the compasses

Answers

Answer:

If you hold a compass near a wire through which current is flowing, the needle on the compass will be deflected. Since compasses work by pointing along magnetic field lines, this means that there must be a magnetic field near the wire through which the current is flowing

Explanation:

good luck

Temperature and kinetic energy have a________
relationship.

Answers

The average kinetic energy of gas molecules is directly proportional to absolute temperature only.

You wake up in the morning and get out of bed. Does the floor feel cold or warm on your bare feet? On the lines below, write a sentence that compares how it feels to step on a bare floor and on a rug on a cold morning

Answers

When you get out of bed in a morning it's most likely too be cold so your bare feet on a floor not carpet a bare floor will feel cold since the temperature and molecules had changed and if you step on a warm fuzzy rug it will feel warm since your feet are cold and the rugs fuzziness or material keeps you warn

We feel more cold on feet on morning because heat from our feet will flow to the cold floor. We feel more cold on the bare floor than the rug since it conducts heat away from our feet.

What is heat transfer?

Heat will be transfer on a temperature gradient from one substance to the other.  Heat is transferring from the hot body to the colder body. There are three types of heat transfer are there namely, conduction, convection and radiation.

Conduction is the heat transfer in solids , convection in liquids and radiation is the heat or energy transfer mode in gases and vacuum.  At the morning, the floor will be more cool whereas our body will be hotter, thus heat will flow our body to floor make our feet cool.

A bare floor will conduct thermally more than a rug do. Thus the bare floor conducts heat away from our feet and make our feet more cool.

To find more on heat transfer, refer here:

https://brainly.com/question/13433948

#SPJ2

Hi people; there's a question that has been so confusing for me and a friend of mine.
0°C + 0°C = 64°F
Is this correct or wrong?

Answers

Answer:

The correct answer is: 0°C + 0°C = 32°F

Explanation:

We need to remember the conversion equation from Celsius to Fahrenheit:

[tex]y^{\circ}F=(x^{\circ}C * \frac{9}{5})+32[/tex]

In our case x = 0, then y will be:

[tex](0^{\circ}C * \frac{9}{5})+32=32[/tex]

[tex]y=32^{\circ}F[/tex]

Now 0°C + 0°C is just 0°C because if we add a body at a certain temperature to another body with the same temperature the total temperature will the same.

Then, knowing that 0°C = 32°F we can conclude that:

[tex]0^{\circ}C+0^{\circ}C=32^{\circ}F[/tex]

I hope it helps you!              

Motion is
displacement
an object you look at to determine if something is moving
a change of position in relation to another object
speed

Answers

Answer:

a change of position in relation to another object.

Explanation:

Motion can be defined as a change in the location (position) of a physical object or body with respect to a reference point.

This ultimately implies that, motion would occur as a result of a change in location (position) of an object with respect to a reference point or frame of reference i.e where it was standing before the effect of an external force.

A reference point refers to a location or physical object from which the motion (movement) of another physical object or body can be determined.

Mathematically, the motion of an object is described in terms of acceleration, time, distance, speed, velocity, displacement, position, etc.

Hence, motion is a change of position in relation to another object.

brick falls from a height of 10 m. Calculate the time taken for the brick to reach the ground.​

Answers

Use physics kinematic equations to solve for t. Lookup physics kinematic problems on Kahn for more understanding.



2. A ball is dropped from rest. The acceleration due to gravity is 10m/s? and the time it
takes for the ball to reach the ground is 5 seconds. What was the velocity of the ball just
before it hits the ground

Answers

Answer:

STEP BY STEP

V = S/T

V= 10/5

V = 2 m/s

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