The acceleration due to gravity on the Moon is gM. Suppose an astronaut on the Moon drops an object from a height of H. The time it would take the object to reach the Moon’s surface would be TM. The same object is dropped from the same height on Earth, where the acceleration due to gravity is gE. The time it takes the object to reach the Earth’s surface is TE. Which of the following is a correct mathematical relationship for the two times?
TE=gEgM−−−√TM

TE=gEgMTM
A

TE=gMgE−−−√TM

TE=gMgETM
B

TE=gEgMTM

TE=gEgMTM
C

TE=gMgETM

TE=gMgETM
D

TE=TM

Answers

Answer 1

The relationship between the two times is [tex]TE = TM\sqrt{\frac{gM}{gE} }[/tex]

The given parameters:

the acceleration due to gravity on the Moon = gM

height from which the object was dropped on moon, =  H

time taken for the object to reach the moon surface, = TM

height from which the object was dropped on Earth, =  H

the acceleration due to gravity on the Earth = gE

time taken for the object to reach the Earth's surface = TE

To find:

The relationship between the two times:

Apply the following kinematic equation:

[tex]H = ut + \frac{1}{2} gt^2\\\\we \ know \ nothing \ about \ the \ initial \ velocity \ u , let \ u = 0\\\\H = \frac{1}{2} gt^2\\\\[/tex]

Height equation for the object on the moon:

[tex]H = \frac{(gM) TM^2}{2}[/tex]

Height equation for the object on the Earth:

[tex]H = \frac{(gE) TE^2}{2}[/tex]

Since the two heights are equal, set the two equation to be equal to each other to determine the relationship between the two times:

[tex]\frac{(gE)TE^2}{2} = \frac{(gM)TM^2}{2} \\\\(gE)TE^2 = (gM)TM^2\\\\make \ TE \ the \ subject \ of \ the \ formula;\\\\ TE^2 = \frac{(gM)TM^2}{gE} \\\\TE= \sqrt{\frac{(gM)TM^2}{gE} } \\\\TE = TM\sqrt{\frac{gM}{gE} }[/tex]

Thus, the relationship between the two times is [tex]TE = TM\sqrt{\frac{gM}{gE} }[/tex]

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Related Questions

An object moves along the x-axis. The graph shows its position x as a function of time t. Find the average velocity of the object from points B to C. −8.3 m/s −4.2 m/s 0 m/s −0.12 m/s

Answers

Answer:

-8.3m/s

Explanation:

its correct

Answer: its 0.

Explanation: Gradpoint

A car travels 200 miles in 8 hours calculate the cars speed

Answers

Answer:

25 mi/hr

Explanation:

Distance = 200 miles

Time = 8 hours

[tex]Speed = \frac{Distance}{Time}[/tex]

Substitute values into the given equation and solve.

[tex]Speed = \frac{200}{8} \\\\Speed = 25 \:miles/hour[/tex]

A car travels 200 miles in 8 hours is 25 miles/h (25 mph).

What is Speed?

The speed of an object is defined as the magnitude of change of its position with time or the magnitude of change of its position per unit time. It is a scalar quantity which has only magnitude , no direction.

It can be expressed as:

[tex]s = \frac{d}{t}[/tex]

s = speed

d = distance traveled

t = time elapsed

The SI unit of speed is metre per second. (m/s)

For above given information,

Distance = 200 miles

Time= 8 hours

So, speed will be 200 miles/ 8 hrs

Speed = 25 miles/hr or 25 mph.

Thus , a car travels 200 miles in 8 hours is 25 miles/h (25 mph).

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Distance v. Time
What is the velocity at 1 meters?
4.5
4
3.5
3
2.5
Distance (m)
2.
1.5
1
0.5
0
0
2
6
8
10
Time (s)

Answers

Answer:

4

(m)

2 ( s )

Explanation:

ok...........


Sarah throws a ball directly upward at the edge of a cliff with a starting velocity of 3.0 m/s
It lands on the ground with a final speed of 6.0 m/s
How long is the ball in the air?
Round the answer to two significant digits

Answers

Answer:

The correct answer is t = 0.92s

Explanation:

Initial velocity v​0 = 3.0 m/s

Displacement Δy = ?

Acceleration a = -9.8m/s2

Final velocity v = -6.0m/s

Time t=? Target unknown

We can use the kinematic formula missing Δy to solve for the target unknown t:

V=v0+at

We can rearrange the equation to solve to t:

V-v0=at

t= v-v0/a

Substituting the known value into the kinematic formula gives:

t= (-6.0m/s)-(3.0m/s)

————————————

-9.8m/s2

= -9m/s

—————-

-9.8m/s2

=0.92s

Sarah throws a ball directly upward at the edge of a cliff with a starting velocity of 3.0 m/s.  It lands on the ground with a final speed of 6.0 m/s.

How long is the ball in the air?

Answer: 0.92

3. The value of frictional force on block in the given
diagram is (Take g = 10 m/s2)
5N
m = 3 kg
8.
u = 0.3
(1) 4N
(2) 5 N
(3) 6 N.
(4) 9 N​

Answers

I need help with my homework it’s due tomorrow and I feel like I failed can u help me bro

Which ball has the greater acceleration at the instant of release?
Ball thrown upward or downward

Answers

They're equal.

Ignoring air resistance, any object you're not holding onto has the same, constant acceleration ... 9.8 m/s^2 down ... from the moment it leaves your hand until the moment it hits the ground.

It doesn't matter how heavy the object is, and it doesn't matter whether you throw it up, down, or sideways, or just let go and let it drop.

hey can anyone help me out in dis pls

Answers

Answer:

All of the above

Explanation:

Solids have a fixed shape and volume.

Even though the molecules in a solid are vibrating, they can't travel from one part of the solid to the other.

I hope this helps! :)

When the mass of an object decreases, the force of gravity - Remains Unchanged - Decreases - increases - Becomes irregular

Answers

Answer:

Decreases

Explanation More mass=More gravitational pull

Less mass=Less gravitational pull

Hope this helps

Answer:

decreses

Explanation:

What is the phase of water when its temperature is 150 °C?
A. Solid
B. Liquid
C. Gas
D. None of the above.

Answers

Answer:gas

Explanation:

The phase of water when its temperature is 150 °C is gas. Hence, option (C) is correct.

What are the phases of substance?

Phase is a term used in thermodynamics to describe an amount of matter that is chemically and physically uniform or homogeneous, can be mechanically separated from a nonhomogeneous mixture, and may consist of a single material or a combination of substances.

Although crystalline, colloid, glassy, amorphous, and plasma phases are thought to exist, the three basic phases of matter are solid, liquid, and gas (vapor). A phase change is defined as the transformation of a phase from one form to another.

As the boiling point of water is 100° C, the phase of water when its temperature is 150 °C is gas. Hence, option (C) is correct.

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Determine the vector sum of the displacements Δd1 = 2.4 m [32° S of W]; Δd2 = 1.6 m [S]; and Δd3 = 4.9 m [27° S of E].

Answers

Answer:

3.44 metres

Explanation:

To determine the vector sum of the displacements Δd1 = 2.4 m [32° S of W]; Δd2 = 1.6 m [S]; and Δd3 = 4.9 m [27° S of E], resolve the given parameters into x - component and y - component.

Resolving into x - component

- 2.4cos32 + 4.9cos27 = 2.3306

Resolving into y - component

- 2.4sin32 - 4.9sin27 - 1.6 = - 2.553

The vector sum of the displacement will be

Sqrt( 2.3^2 + 2.6^2) =

Sqrt ( 11.81)

3.44 m

Therefore, the vector sum of the displacements is 3.44 metres

if a object falls from 5 meters how long did it take for it to reach the ground explain(gravity= -10)

Answers

Idkgfjfjfjriurugucufududu

Explanation:

[tex]time \: period = \sqrt{ \frac{2h}{g} } = \sqrt{ \frac{10}{10} } = 1sec[/tex]

Explain what you know about the current structure of the atom. Be sure to include the following:
1. What parts of the atom are located INSIDE the nucleus?
2. What parts of the atom are located OUTSIDE the nucleus?
3. What is the charge (positive/negative/neutral) inside the nucleus?
4. What is the overall charge (positive/negative/neutral) of an atom?

Answers

I think 3:))))) have a goood daaay

Convert 2,000 m ______ km

Answers

2,000 Meters is 2 Kilometers

Answer:

[tex]2km[/tex]

Explanation:

[tex]1,000 m=1 km[/tex]

So if you have [tex]2,000m[/tex], there will be [tex]1km[/tex] per [tex]1,000m[/tex].

Therefore:

[tex]2000m=2km[/tex]

1. How many energy levels do the electrons in an atom of iron occupy?​

Answers

Electrons in atoms occupy energy levels, also called electron shells, outside the nucleus. Different shells can hold different maximum numbers of electrons. The electrons in an atom occupy the lowest available energy level first.on:

Answer:

26. Brainliest?

Explanation:

Iron atoms have 26 electrons and the shell structure is 2.8.

How to keep your community clean

Answers

Answer:

Work with the local civic groups to identify and eliminate eyesores, and beautify the local environment

Pick up a piece of litter every day

Keep a litter bag in your car or your recreational vehicle so you dispose of litter properly

Create a trash fishing contest in your waterway to increase awareness about illegal dumping and littering

Write a letter to the editor of your local newspaper asking others to respect public lands and keep them clean

Help your local schools conduct recycling drives and clean-up projects

Create a beautiful green space by planting trees and shrubs in an area in need of improvement.

Ask local businesses to adopt-a-spot and take care of it

Paint and fix up playground equipment

Organize a paint-out with family and friends and create a community paintbrush mural over a wall of illegal graffiti

Recycle your old tires

Report graffiti to your local authorities

Donate your old computer equipment or dispose of it properly

Conduct a recycling drive in your neighborhood or your business

Volunteer to help your employer conduct paper recycling drives at work

Donate gently used clothes to needy organizations and shelters and identify other items that you can reuse

Compost yard and food waste and seek advice if you don’t know how

Find out how pollution in storm drain runoff can impact our aquifers and ecosystems and be passionate about doing your part to reduce litter and solid waste

Ask your local government officials to establish regular community improvement activities and to support and promote volunteer efforts

Help your library establish an environmental corner that offers books and other educational materials about taking care of the Earth

A kettle of water is heated on a stove. What will happen to the molecules of the water in the kettle as the kettle continues to be heated by the flame?

Answers

Answer:

The molecules will take the heat energy and convert it to mechanical energy and they get "excited" and eventually their bonds will break and they will turn into water vapor.

How much is the unit price for an order of 80 t-shirts that cost $300?



help me plisssssssss!!!!!!!! ​

Answers

Unit price = (total cost) / (number of units) . . . The unit is 'dollars per shirt'.

Unit price = ($ 300) / (80 shirts)

Unit price = $3.75 / shirt

differenciate between emf and potential difference ​

Answers

Answer: 1.Emf is the total voltage in the battery while the potential difference is the work done in moving a charge against the electric field between two specific points in the circuit. 2.Emf is always greater than the potential difference.

Explanation:

To me (electrical engineer since 1973), there is no difference. They are two different names for the same thing.

WHY DONT TWO OBJECTS MOVE TOWARDS EACH OTHER DUE TO GRAVITATIONAL PULL BETWEEN THEM

Answers

Answer:

Although the gravitational force the Earth exerts on the objects is different, their masses are just as different, so the effect we observe (acceleration) is the same for each. The Earth's gravitational force accelerates objects when they fall. It constantly pulls, and the objects constantly speed up.

what's the meaning of phisikos​

Answers

A word-forming element meaning "physical, physically; natural," from Latinized form of Greek physikos "natural, physical, pertaining to nature."

Init. A
almatien
Quiz 1
As shown in the figure below, Justin walks from the house to his truck on a windy day. He walks 20 m
toward the truck, 15 m back to retrieve his wind-blown hat, and another 20 m to reach the truck. He
walked a total time of 75 s.
20 m
15 m
20 m
What is Justin's average velocity over the 75 s period?

Answers

Answer:

v = 1/3 m / s = 0.333 m / s

in the direction of the truck

Explanation:

The average speed is defined by the variation of the position between the time spent

           v = Δx / Δt

since the position is a vector we must add using vectors, we will assume that the displacement to the right is positive, the total displacement is

           Δx = 20 - 15 +20

           Δx = 25 m

therefore we calculate

         v = 25/75

         v = 1/3 m / s = 0.333 m / s

in the direction of the truck

As shown in the figure below, Justin walks from the house to his truck on a windy day. He walks 20 m toward the truck, 15 m back to retrieve his wind-blown hat, and another 20 m to reach the truck. He walked a total time of 75 s.

Answer:

What is Justin’s average velocity over the 75 s period?

Answer: 0.33  m/s

What is Justin’s average speed over the 75 s period?

Answer: 0.73  m/s

A 0,34-kg volleyball is flying west at 1,98 m/s when it strikes a stationary 0,60-kg basketball dead centre. The volleyball rebounds east at 0,79 m/s. What will be the velocity of the basketball immediately after impact? Choose the east direction as positive.

Answers

Explanation:

use the law of conservation of momentum

M1U1+M2U2=M1V1+M2V2

m-mass

u-initial velocity

v-final velocity

1-volleyball

2-basket ball dead center

so using the above formula

0.34×1.98+0.64×0=0.34×0.79+0.64×V2

to get

0.6732+0 = 0.2686+0.64V2

0.4046=0.64V2

divide both sides by 0.64 to get V2 which is the final velocity of basketball

0.6322m/s=V2

The final velocity of the basketball after the impact is 1.643 m/s west.

The given parameters;

mass of the volleyball, m = 0.34 kginitial velocity of the volleyball, u₁ = 1.98 m/smass of the stationary basketball, m₂ = 0.6 kgfinal velocity of the volleyball, v₁ = 0.79 m/s

The final velocity of the basketball after the impact is calculated by applying the principle of conservation of linear momentum;

m₁u₁  +  m₂u₂  =  m₁v₁   +  m₂v₂

0.34(-1.98) + 0.6(0) = 0.79(0.34) + 0.6(v₂)

-0.673 = 0.316 + 0.6v₂

-0.989 = 0.6v₂

[tex]v_2 = \frac{- 0.989}{0.6} \\\\v_2 = -1.643 \ m/s\\\\v_2 = 1.643 \ m/s \ west[/tex]

Thus, the final velocity of the basketball after the impact is 1.643 m/s west.

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A plane takes off at an angle of 30 degrees at a speed of 150 km/h. Determine the horizontal
and vertical components of this velocity vector.

Answers

Answer:

Horizontal Component = 129.9 km/h

Vertical Component = 75 km/h

Explanation:

When a vector is resolved on the x-axis and the y-axis, the components so formed are called its rectangular components. The component along y-axis is called the vertical component and the component along x-axis is called horizontal component. These components can be given by following formulae:

Horizontal Component = v Cos θ

Vertical Component = v Sin θ

where,

v = velocity = 150 km/h

θ =  angle = 30°

Therefore,

Horizontal Component = (150 km/h)(Cos 30°)

Horizontal Component = 129.9 km/h

Vertical Component = (150 km/h)(Sin 30°)

Vertical Component = 75 km/h

an ice cube is placed in the sun later there is a puddle of water later still the.puddle is gone what kind of change has occured​

Answers

Clear question is;

An ice cube is placed in the sun. Later there is a puddle of water. Later still the puddle is gone. What kind of change has occurred?

Answer:

Physical change.

Explanation:

There are two type of changes called physical change and chemical change.

In Physical changes, there is only change in the appearance of the substance and not its chemical composition. Whereas, in Chemical changes the substance changes entirely into another substance with a new chemical formula.

Now, for the ice cube, it has melted from a solid state to a liquid state. Thus, there is only a change in appearance and not its chemical composition. Thus, it's a physical change that has occurred.

Evidence of a chemical change includes
A) change in size.
B) change in color.
C) change in shape.
Eliminate
D) change in weight.

Answers

Evidence of a chemical change includes

change in color

A 2 kg ball is dropped from the roof of a building 27.5 m tall. How long
does it take to hit the ground?

Answers

Answer:

wow I need time to solve dis

which sI units are combined to describe force?

Answers

Answer:

Symbol N

Explanation:

The SI unit of force is the newton, symbol N

The units of mass, length, and time are.

The combination is the unit of force, called the "Newton".

1 Newton is the force that accelerates 1 kilogram of mass at the rate of 1 meter per second every second.

A student clicks the mouse at time intervals of 1.60, 2.10, 2.40, 1.90 what is the standard deviation of this dataset.
A. 0.22
B. 0.25
C. 0.29
D. 0.58

Answers

i hope this helps you
and stay safe

a car is driving at 57 mi/hr, how long will it take for the car to go 80 mile

Answers

Answer:

1 hour 6 minutes and about 6 seconds

Erica forgot to put gas in her car (again) for two weeks. The graph below shows the last few seconds of her car being stalled along Elkins Drive st 7:23 am Friday. During the time shown, what was the acceleration of her car?
a 54 m
b 108 m/s
c 3 m/s^2
D -3 m/s^2

Answers

Answer:

Option (D) : - 3 m/s^2

Explanation:

Acceleration = Slope of v-t graph

= 18/6

= - 3 m/s^2 (-ive since the car is decelerating )

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