A satellite circles the Earth in an orbit whose radius is twice the Earth’s radius. The Earth’s mass is 5.98 x 1024 kg, and its radius is 6.38 x 106 m. What is the period of the satellite?

a. The value of H is 11.51 m

b. The total kinetic energy as she reaches the ground is 6.21 kJ.

The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.

M.E = KE +PE

Given is a skier (m=55.0 kg) starts sliding down from the top of a ski jump with negligible friction and takes off horizontally. Value of h = 6.50 m and D = 11.4 m.

Time taken to reach the ground after take off is

t = √2h/g

t = √(2x6.50) /9.81

t =1.15 s

The speed at that time is

speed = distance /time

v = 11.4 /1.15

v = 9.913 m/s

a. From energy conservation principle,

v = √2g(H-h)

Plug the values, we get

9.913 = √(2 x 9.81 (H - 6.5)

Squaring both sides and solving, we have

H = 11.51 m

Thus, the value of H is 11.51 m.

b. The energy at the ground will be only potential energy

Total kinetic energy at the ground = mgH

T.K.E = 55 x 9.81 x 11.51

T.K.E =6.21 kJ

Thus, the total kinetic energy is 6.21 kJ.

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Answer:

the anser is b

Explanation:

If the force applied on the object is in the direction of its motion, the speed of the object increases. If the force is applied in the direction opposite to the direction of motion, then it results in a decrease in the speed of the object.

Answer:

a community event

Explanation:

Answer:

i don't know sorry

i know a good website that may help you

it's called https://skyandtelescope.org/observing/telescope-calculator/

Explanation:

If Ross takes two months off from training, his fitness level will reduce in comparison to what it was two months ago.

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The Brundtland Commission spotted as a matter of urgency, the interconnection between natural resource use and the economy.

The Brundtland Commission was set up with the intention to achieve sustainable development. The tenure of the commission lasted from 1984 to 1987.

The commission identified the pillars of sustainable growth as economic growth, environmental protection, and social equality. The committee opined that environmental problem emanates from poverty in the southern region and reckless consumption of resources in the northern region.

The Brundtland Commission spotted as a matter of urgency, the interconnection between natural resource use and the economy.

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Answer:

inertia of motion

Explanation:

it's because when a passenger is jumping from a bus his/her body is in motion after falling in a road he/she remains or tends to remain in the state of motion that is the reason

The friction force is 1.5N

Now, using the third equation of motion-

[tex]v^{2}= u^{2} +2as[/tex]

v=final velocity

u=initial velocity

a=acceleration

s=distance

substitute the values in the above equation

1.2=0+ 2a×20

a=1.2/40

a=0.03

friction force=mass ×acceleration

                    =50×0.03

                    =1.5N

hence, The friction force is 1.5N

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The coefficient of friction between the block and the surface is determines as 0.1.

Apply the principle of conservation of linear momentum;

0.05(400) = v(0.05 + 25)

20 = 25.05v

v = 0.8 m/s

Apply the principle of conservation of energy

P.E  - K.E = Ux

μmgx - ¹/₂mv²  = ¹/₂kx²

μ(25.05)(9.8)(0.12) - 0.5(25.05)(0.8)² = 0.5(180)(0.12)

29.459μ - 8.016   = 10.8

29.459μ = 2.784

μ = 0.1

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The height of stairs a 60 kg student would have to run in order to burn off 1 Calorie of food energy will be 7.1 meters.

The potential energy is due to the virtue of the position and the height. The unit for the potential energy is the joule.

Given data;

Mass of student,m = 60 kg

Energy,E = 4190 J

Height of stairs,h=?

The potential energy is mainly dependent upon the height of the object. The potential energy is found as;

Potential energy = mgh

E=mgh

h=E/mg

h= 4190 J / (60 kg× 9.81  m/s²)

h = 7.1 metre

Hence the height of the stairs will be 7.1 meters.

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a. Ball P

Density is define as mass per unit volume or the quantity per unit volume, unit area, or unit length.

If [tex]m_{1}[/tex] is mass ,  [tex]V_{1}[/tex] is volume and [tex]D_{1}[/tex]  is density of ball P

[tex]m_{2}[/tex]  is mass ,  [tex]V_{2}[/tex] is volume and [tex]D_{2}[/tex] is density  of ball Q

It is given that  ,

[tex]V_{1}[/tex] = [tex]V_{2}[/tex];

But  [tex]m_{1}[/tex]= [tex]2m_{2}[/tex]

Based on above equation we have:

[tex]\frac{D_{1} }{D_{2} } = (\frac{m_{1} }{V_{1} } )* (\frac{m_{2} }{V_{2} } )\\ \\= (\frac{2m_{2} }{V_{2} })*(\frac{V_{2} }{m_{2} }) \\\\= 2[/tex]

Thus, density of ball P is twice that of Q.

Therefore ,

Ball  P will have a greater density than Q

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Answer:horse

Explanation:

The distance x equal to 0.87 cm when the intensity of the light decreases by 9 times.

The intensity of light is given as power emitted by the light by unit area.

I = P/A

I = P/L²

I₁L₁² = I₂L₂²

L₂² = I₁L₁²/I₂

L₂² = (3 x 1.5²)/(9)

L₂² = 0.75

L₂ = 0.87 cm

Thus, the distance x equal to 0.87 cm when the intensity of the light decreases by 9 times.

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Answer:

1.1299 x 10^-8   second    

Explanation:

Period = 1 / f = 1 / (8.85 * 10^7) = 1.1299 x 01^-8  sec

The high salt concentration make sea water significantly less resistive than pure water due to presence of charged ions in the sea water.

The resistivity of a substance is the opposition to the flow of charges offered by the substance.

The greater the resistivity of a substance, the lesser its conductivity.

A high salt concentration make sea water highly conductive due to presence of charged ions in the water. The greater conductivity reduces the resistivity of the sea water.

A pure water has no charged ions in the water, thereby decreasing its conductivity and increasing its resistivity.

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Physical science explains the physical world and not supernatural events and an idea is considered true by science if it can be observed, explained and reproduced by others.

Physical science is a systematic study of the of the physical world and phenomena based on observation and experiments.

The scientific method involves:

Science explains the physical world and not supernatural events.

Science studies physical phenomena such as the stars, the planets, living things, etc.

Science do not study about angels or demons or supernatural events.

An idea is considered true by science if it can be observed, explained and reproduced by others.

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Explanation:

Answer:

20 Newtons

Explanation:

10× 2

Answer: A.

2.5 newtons

Explanation: edmentum

(a) The time taken the block to reach the ground once it flies off the edge of the table is 0.47 s.

(b) The initial horizontal velocity of the block as it flies off the table is 3.91 m/s.

(c) The initial speed of the bullet is 237.5 m/s.

The time of motion of the block is calculated as follows;

h = ¹/₂gt²

where;

t = √(2h/g)

t = √( (2 x 1.08) / 9.8)

t = 0.47 s

x = vt

v = x/t

v = (1.84)/(0.47)

v = 3.91 m/s

m1u1 + m2u2 = v(m1 + m2)

where;

0.00611(u1) + 0.365(0) = 3.91(0.00611 + 0.365)

0.00611u1 = 1.451

u1 = 1.451/0.00611

u1 = 237.5 m/s

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The cutoff frequency for magnesium is 8.93 x 10¹⁴ Hz.

The work function is related to the frequency as

W0 = h x fo

where, fo = cutoff frequency and h is the Planck's constant

Given is the work function for magnesium is  3.70 eV.

fo = 3.7 x 1.6 x 10⁻¹⁹ / 6.626 x 10⁻³⁴

fo = 8.93 x 10¹⁴ Hz.

Thus, the cut off frequency is 8.93 x 10¹⁴ Hz.

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Hi there!

The maximum deformation of the bumper will occur when the car is temporarily at rest after the collision. We can use the work-energy theorem to solve.

Initially, we only have kinetic energy:

[tex]KE = \frac{1}{2}mv^2[/tex]

KE = Kinetic Energy (J)
m = mass (1060 kg)
v = velocity (14.6 m/s)

Once the car is at rest and the bumper is deformed to the maximum, we only have spring-potential energy:

[tex]U_s = \frac{1}{2}kx^2[/tex]

k = Spring Constant (1.14 × 10⁷ N/m)

x = compressed distance of bumper (? m)

Since energy is conserved:

[tex]E_I = E_f\\\\KE = U_s\\\\\frac{1}{2}mv^2 = \frac{1}{2}kx^2[/tex]

We can simplify and solve for 'x'.

[tex]mv^2 = kx^2\\\\x = \sqrt{\frac{mv^2}{k}}[/tex]

Plug in the givens and solve.

[tex]x = \sqrt{\frac{(1060)(14.6^2)}{(1.14*10^7)}} = \boxed{0.0198 m}[/tex]

Answer:

E = 5.52 x 10⁻¹⁹  J

Explanation:

The formula for energy of a photon, E, is:

[tex]E = hf[/tex]

where h is Plank's constant = 6.62 x 10 ⁻³⁴ .

Using the formula:

E = 6.62 x 10⁻³⁴   x   8.34 x 10¹⁴

  = 5.52 x 10⁻¹⁹  J

The two factors that affect current carrying capacity of an accumulator will be accumulator size and ambient temperature

Utilizing the compressible and decompressible properties of nitrogen gas, an accumulation vessel is used to store hydraulic pressure.

These key deciding elements are:

1. Accumulator Size: The current capacity increases as the circumference of the conductor increases.

2. Ambient Temperature: The greater the ambient temperature, the less heat is needed to raise the insulation's maximum operating temperature.

3. Accumulator identification:

4. Conditions for Installation:

Hence, the two factors that affect current carrying capacity of an accumulator will be accumulator size and ambient temperature

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This planet's mass must be four times that of Earth in order for the gravitational pull at its surface to be comparable to Earth's.

Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.

The gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.

The planet's mass is directly related to its mass at the surface and inversely proportional to the square of its radius;

When mass increases and distance reduces, gravity rises. Gravity also lowers when the distance between two points grows and the mass decreases.

The astronomers discovered a planet twice the size of Earth that resembles Earth.

This planet's mass must be four times that of Earth in order for the gravitational pull at its surface to be comparable to Earth's.

Hence the masses of this planet will be 4 times that of Earth.

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The distance covered by an accelerating object starting from rest is

D = (1/2 of acceleration) x (time²).

In this question,

D = 100 m

time = 3.8 s

100 = (1/2 acceleration) x (3.8s²)

100 = (1/2 a) x (14.44)

100/14.44  =  1/2 a

200/14.44  =  a

a = 13.85 m/s²

The approximate volume of table tennis ball is  80 cm³

Volume is defined as the amount of space occupied by the three dimensional object. S I unit of volume is m³ or cm³.

To find the volume of tennis ball using graduated cylinder.

Step 1 - Fill the graduated cylinder half or full.

Step 2 - Mark the initial volume of the water i.e. 100 cm³ (Vi)

Step 3  - Put the tennis ball in the graduated cylinder. Some of the water was displaced by the table tennis ball.

Step 4 - Mark the Final volume of the water (Vf) i.e. 180 cm³

Step 5 = Calculate the volume by using Formula

Vb = Vf – Vi = 180 cm³ - 100 cm³ = 80 cm³

Hence the volume of tennis ball (Vb) is 80 cm³

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Answer:

40

Explanation:

Answer:

As electrical power is measured in Watts (W), therefore it must be also be measured in Joules per Second. So we can correctly say that: 1 watt = 1 joule per second (J/s).

Explanation:

Answer:

88.761

Explanation:

The number of significant digits to the answer of the following problem is four.

The number of digits rounded to the approximate integer values are called the significant digits.

The following problem is

(2.49303 g) * (2.59 g) / (7.492 g) =

On solving we get

= 0.86184566204

The answer is approximated to  0.86185

Thus, the significant digits must be four.

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