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miss Akunina [59]

3 years ago

8

The 65,000 kgkg space shuttle used to fly in a 250-km-high circular orbit. It needed to reach a 610-km-high circular orbit to se

rvice the Hubble Space Telescope.
How much energy was required to boost it to the new orbit?

1 answer:

Olin [163]3 years ago

7 0

To solve this problem we will apply the concepts related to gravitational potential energy. The existing difference between the two heights will allow us to find the net energy to perform the action determined in the statement. The energy required to boost the shuttle to the new orbit is

$\Delta E = E_2-E_1$

$\Delta E = GMm(\frac{1}{2r_1}-\frac{1}{2r_2})$

Our values are

$M = 5.972*10^{24}kg \rightarrow$ Mass of Earth

$R = 6.371*10^6m \rightarrow$ Radius of Earth

$G = 6.674*10^{-11}m^3/kgs^2 \rightarrow$ Gravitational Universal Constant

$m = 65000kg$

The initial radius of the orbit of the shuttle is

$r_1 = R+h_1$

$r_1 = 6.371*10^6+2.5*10^5$

$r_1 = 6.621*10^6m$

Final Orbit radius of the shuttle is

$r_2 = R+h_2$

$r_2 = 6.371*10^6+6.1*10^5$

$r_2 = 6.98*10^6m$

Replacing we have that

$\Delta E = (6.674*10^{-11})(5.972*10^{24})(65000)(\frac{1}{2(6.621*10^6)}-\frac{1}{2(6.98*10^6)})$

$\Delta E = 1.04*10^{11}J$

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Sliva [168]

The stopwatch will be the most useful in determining the kinetic energy of a 50 g battery- powered car traveling a distance of 10 m.

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Kinetic energy is the energy of a body possessed due to motion.

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The kinetic energy is measured in Joules, which is a product of the mass of the substance and the time taken to travel a distance.

A stopwatch is an instrument used to measure time as one of the components of kinetic energy.

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2 years ago

If the person drops box from 3.8 m how much energy is transferred from potential energy to kinetic energy

kotykmax [81]

Answer:

Kinetic energy

When work is done the energy is transferred from one type to another. This transferred energy may appear as kinetic energy.

For example, when you pedal your bicycle so that its speed increases, you are doing work to transfer chemical energy from your muscles to the kinetic energy of the bicycle.

Kinetic energy is the energy an object possesses by virtue of its movement. The amount of kinetic energy possessed by a moving object depends on the mass of the object and its speed. The greater the mass and the speed of the object the greater its kinetic energy.

The kinetic energy Ek of an object of mass m at a speed v is given by the relationship

{E_k} = \frac{1}{2}m{v^2}

m is the mass of the object in kilograms ( kg) and v is the speed of the object in metres per second ( m\,s^{-1}).

Explanation:

When work is done on an object it may also lead to energy being transferred to the object in the form of gravitational potential energy of the object.

Gravitational potential energy is the energy an object has by virtue of its position above the surface of the Earth. When an object is lifted, work is done. When work is done in raising the height of an object, energy is transferred as a gain in the gravitational potential energy of the object.

For example, suppose you lift a suitcase of mass m through a height h. The weight W of the suit case is a downward force of size mg. In lifting the suitcase, you would have to pull upwards on it with a force equal in size to its weight, mg.

Two suitcases. One has a green force arrow pointing up labelled F and a purple force arrow pointing down labelled 'Weight = mg'. The other case is raised by a height labelled h.

Suitcases with forces and height labelled

When this force (equal to the weight mg, but upwards) is applied to the suitcase over the distance h:

Work\,done=force\,\times\,distance\,upwards=mg\,\times\,h

This energy is transferred to potential energy when raising the object through a known height.

Energy = mass \times gravitational\,field\,strength \times height

E = m \times g \times h

This is the relationship used to calculate gravitational potential energy.

{E_p} = mgh

where m is the mass of the object in kilograms (kg), g is the gravitational field strength, (for positions near the surface of the Earth g = 9∙8 newtons per kilogram ( N kg ^{-1} and h is the height above the surface of the Earth in metres ( m).

8 0

3 years ago

The electrons lost from chlorophyll photooxidation are replaced by the oxidation of water. how many electrons are generated from

White raven [17]

There are 2 electrons generated from the oxidation of one water molecule.

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1 year ago

A small balloon is released at a point 150 feet away from an observer, who is on level ground. If the balloon goes straight up a

Elza [17]

Answer:

$\dfrac{dz}{dt}=0.65\ ft/s$

Explanation:

Given that

x= 150 ft

$\dfrac{dy}{dt}= 7\ ft/s$

y= 14 ft

From the diagram

$z^2=x^2+y^2$

When ,x= 150 ft and y= 14 ft

$z^2=150^2+14^2$

$z=\sqrt{150^2+15^2}$

z=150.74 ft

$z^2=x^2+y^2$

By differentiating with respect to time t

$2z\dfrac{dz}{dt}= 2x\dfrac{dx}{dt}+2y\dfrac{dy}{dt}$

$z\dfrac{dz}{dt}= x\dfrac{dx}{dt}+y\dfrac{dy}{dt}$

Here x is constant that is why

$\dfrac{dx}{dt}=0$

$z\dfrac{dz}{dt}= y\dfrac{dy}{dt}$

Now by putting the values in the above equation we get

$150.74\times \dfrac{dz}{dt}=14\times 7$

$\dfrac{dz}{dt}=\dfrac{14\times 7}{150.74}\ ft/s$

$\dfrac{dz}{dt}=0.65\ ft/s$

Therefore the distance between balloon and observer increasing with 0.65 ft/s.

5 0

3 years ago

Suppose a constant net force of 345 N is applied to slide a heavy stationary couch across the

ira [324]

Answer:

517.5Ns

Explanation:

F=(MV - MU)/t

where MV - MU is the change in momentum,

therefore, MV - MU = Ft

= 345 X 1.

= 517.5Ns

4 0

3 years ago