An astronaut drops a hammer from 3.0 meters above the surface of the Moon. If the acceleration due to gravity on the Moon is 1.62 meters per second2, how long will it take for the hammer to fall to the Moon’s surface?

By Newton's second law, the net vertical force on the block is

∑ F = N - mg = 0

so that the normal force exerted by the surface has magnitude

N = mg = (2.52 kg) (9.80 m/s²) = 24.7 N

Then as the block slides over the surface, it feels a frictional force of

f = µ (24.7 N)

where µ is the coefficient of kinetic friction.

As the block is pushed by the spring to its equilibrium position, friction performs

µ (-24.7 N) (0.0973 m) = -2.40µ J

of work (which is negative because it opposes the block's motion).

In compressing the spring by 9.73 cm = 0.0973 m, we store

1/2 (116 N/m) (0.0973 m)² = 0.549 J

of energy. This energy is released and partially converted to kinetic energy, while the rest is lost to friction.

By the work-energy theorem, the total work performed on the block as the spring pushes it towards the equilibrium position is equal to the change in its kinetic energy:

W = ∆K

0.549 J - 2.40µ J = 1/2 (2.52 kg) v ² - 0

where v is the speed of the block at the equilibrium position. Solving for v, we get

v = 0.891 √(0.549 - 2.40µ) m/s

After the block is released, the only force acting on it as it slides freely is friction. It comes to a stop after 0.537 m, so that friction performs

µ (-24.7 N) (0.537 m) = -13.3µ J

of work.

Using the work-energy theorem again, we have

W = ∆K

-13.3µ J = 0 - 1/2 (2.52 kg) v ²

Substitute the velocity we found in terms of µ, and solve for µ :

-13.3µ J = -1/2 (2.52 kg) (0.891 √(0.549 - 2.40µ) m/s)²

===>   µ = 0.0350

Answer:

temperatures is directly proportional to kinetic energy

Explanation:

in increasing the temperature,kinetic energy also increases

hope it helps...

Answer:

Mars has a thin atmosphere

Explanation:

Okay, so this is going to sound crazy but bare with me. Mar's atmosphere is thin. There is little to no gravitational pull for the atmosphere to stay. Also, no, humans will not be able to live on Mars because the atmosphere, quite literally, contains 1% oxygen. Hopefully this helps! Earth's is thick because of the gravitational pull and gases in Earth's surface.

Answer:

B

Explanation:

His law describes the orbits of planets around the Sun.

The area of astronomy that Kepler's laws address is the movement of planets within the solar system. The correct option is C.

According to Kepler's first law, "all the planets revolve in elliptical orbits around the sun, with the sun at one of the foci."

Perihelion is the point at which the planet is closest to the sun, and aphelion is the point at which the planet is farthest from the sun.

Kepler's laws of planetary motion, published between 1609 and 1619 by Johannes Kepler, describe the orbits of planets around the Sun.

Kepler's laws of planetary motion represent a watershed moment in the transition from geocentrism to heliocentrism. They establish the first quantitative link between the planets, including Earth.

Thus, the correct option is C.

For more details regarding Kepler's law, visit:

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Answer:

The wavelength

Explanation:

As the frequency decreases, the wavelength gets longer.

The main difference between potential and kinetic energy is that one is the energy of what can be and one is the energy of what is. In other words, potential energy is stationary, with stored energy to be released; kinetic energy is energy in motion, actively using energy for movement.

Answer:

The ocean plays a key role in this vital cycle of water. The ocean holds 97% of the total water on the planet; 78% of global precipitation occurs over the ocean, and it is the source of 86% of global evaporation. ... Water evaporates from the surface of the ocean, mostly in warm, cloud-free subtropical seas.

Explanation:

Hope this helps.

Answer:

biomechanics

Explanation:

Biomechanics is part of the larger field of kinesiology, specifically focusing on the mechanics of the movement. 1 It is both a basic and applied science, encompassing research and practical use of its findings.

Answer:

missing information what is your cross-section and current in Amperes

Answer:

I'd say 2) "Genes are instructions that cells use to create proteins." Because it's more specific, and that's essentially what it's for.

Answer:

2.

Explanation:

because genes don't create proteins. proteins come from what we take as food.

Answer:

The weight of an object is the force it exerts due to gravity. Pressure is force per unit area, or force divided by area over which the pressure is exerted.

Explanation:

1. For Jo:

1. For Jo:force = 500 N

1. For Jo:force = 500 Narea = 0.0001 m^2

1. For Jo:force = 500 Narea = 0.0001 m^2pressure = F/A = 500N/0.0001m^2 = 5,000,000 N/m^2

Answer:

Motivation is the process that initiates, guides, and maintains goal-oriented behaviors.

Answer:

Explanation:

1.) What is the net force in the horizontal (x) direction?

Fnet = 8 - 3 = 5 N left

2.) what is the acceleration in the horizontal (x) direction?​

a = Fnet/m = 5/2 = 2.5 m/s² left

Answer:

None of the suggested solutions.

Explanation:

horizontally, net force is

60cos30 - 20 = 31.96... 32 N right

which might be their desired answer.

There is also a vertical net force component.

vertically, net force is 40 + 60sin30 - 40 = 30 N up

total net force is

√(32² + 30²) = 43.834... 44 N

θ = arctan(30/32) = 43° above horizontal right.

This study was aimed at testing the construct validity of the basketball basic motion skills test instrument (ITK GDBB). The research used descriptive method of 3 basketball experts in the city of Cimahi; 3 experts are the expert in basketball. The instrument used was the ITB GDBB developed by Silvy (2019) consisting of top passing, bottom passing, top service, bottom service, chest passing, bounding passing, overhead passing, and leading ball (dribbling). This instrument consists of 76 items that cover 4 domains in basketball, namely chest pass, overhead pass, bound pass, and dribbling. The validity method used the construct validity of different power types. For the reliability method, it used the Kuder Ricardson (KR) and Objectivity analysis. The results of the construct validity analysis of a total of 76 items show that the score is ranged from 0.67 to 1.00. The construct validity value of 71 items in the basketball game is in the high category (= 1.00), 5 items are in the sufficient category, the relativity score is ranged from 0.75 to 0.98, and the objectivity score is ranged from 0.89 to 0.95. The conclusion is that this test instrument can be used as a standardized basic motion skill test for standardized large ball games for validity in basic motion skills in basketball games for grade VII junior high school students.

Following are the solution to the given points:

Given:

[tex]\to mass(m)= 65\ kg\\\\\to h=10.0 \ m\\\\\to g=9.8 \ \frac{m}{s^2}[/tex]

To find:

gravitational potential energy(GPE)=?

kinetic energy(KE)=?

concept=?

v=?

Solution:

For point a:

[tex]\to GPE= mgh[/tex]

             [tex]= 65 \times 10 \times 9.8\\\\ = 6370 \ J\\\\[/tex]

For point b:  

[tex]\to KE=\frac{1}{2} m v^2\\\\[/tex]

           [tex]=\frac{1}{2} \times 65 \times 14^2 \\\\=\frac{1}{2} \times 65 \times 14 \times 14 \\\\= 65 \times 14 \times 7 \\\\=6370\ J\\[/tex]

For point c:

As we've seen, there really is no force acting, and the mechanic KE: GPE is used. Because legitimate is conserved. Home energy loss means GPE must be equal to KE gain.

For point d:

A diver has risen 5 feet above the surface. As a result, according to the energy conservation law:

[tex]\to U_i + K_i= U_f + K_f\\\\ \to mg \times h + 0 = mg \times \frac{h}{2} + \frac{1}{2} m v^2\\\\ \to 9.8 \times 10 = 9.8 \times 5 + \frac{v^2}{2}\\\\\to 9.8 \times 10 - 9.8 \times 5 = \frac{v^2}{2}\\\\\to \frac{v^2}{2} =9.8( 10 - 5) \\\\\to v^2 =9.8( 10 - 5) \times 2 \\\\\to v^2 =9.8\times 5 \times 2 \\\\\to v^2 =98 \\\\\to v =98\ \frac{m}{s^2} \\\\[/tex]

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Answer:

53466kg.

Explanatiokn:

it tells you that it has a lot of force

Answer:

Since I couldn't find the other answers to the same question, I wrote the wrong answer to help ya'll get the sample response. So here's from Edge

Explanation:

Sample Response: If KE = 0, the pendulum is not moving. At the top of the swing, the pendulum must stop for a brief moment.

Answer:

b

the def of convection is : process by which heat is transferred by movement of a heated fluid such as air or water

therefore c and d are wrong.

Explanation:

The characteristics of thermal expansion allow finding that the response for a material without thermal expansion is

Thermal expansion is the macroscopic sum of the changes in the length of the bonds when the energy (temperature) changes, it can be written

              ΔL = α L₀ ΔT

Where ΔL is the change in length, α the coefficient of linear expansion, L₀ the initial length and ΔT the change in body temperature

In this case, a material is being designed that the thermal expansion is very small, for this the material must be made up of several compounds where some of them present a contraction with temperature, some examples: water at low temperature, liquefied gases , ceramic tile, quartz, etc.

The thermal expansion measurement processes control the body temperature and measure the change in length, in this case the change in length must be zero, in the attachment we can see a graph of a composite material with these characteristics, an example of this type of material is Invar an alloy of nickel and iron α = 3.7 10⁻⁶ ºC⁻¹

In conclusion, using the characteristics of thermal expansion we can find that the response of material without thermal expansion is

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Answer:

600 N upward

Explanation:

According to Newton's third law, for every action their is an equal and opposite reaction. The equal and opposite reaction to a downward force of magnitude 600 N is an upward force of magnitude 600 N

Answer:

C. 640

Explanation:

The minimum force would occur in a frictionless environment and act parallel to any abutting surface.

F = ma = 160(4) = 640 N

Answer:

What kind of bow Is he using

Answer:

Explanation:

F = mg

F = 75(9.8)

F = 735 N

Answer:

c. 7 m/s

Explanation:

3500 m / 500 s = 7 m/s

Answer:

I believe it would be C ? my apologies if I'm wrong.

Answer:

The Correct answer is B on Edge

Explanation:

I did the quiz! :)