Starting at the origin of coordinates, the following displacement are made in xy-plane (that is, the displacement is coplanar): 60 mm in the +y-direction, 30 mm in the -x-direction 40 mm at 150 degree, and 50 mm at 240 degree. Find the resultant displacement both graphically and Algebraically​


The mean distance is 44.81 AU


Keppler's 3rd Law formula

T^2 = r^3


T     is the orbital period, unit is in Earthly years

r      is the mean distance of a planet from the Sun, unit is in AU

Astronomical units (AU) is a unit for length which is the distance of the Earth to the Sun.

Given information

T = 300 revolutions

Take note:  that 1 revolution around the sun is equivalent to one (1 ) year, 1rev=1year, therefore 300 revolutions = 300 years

Solving the problem

Using Keppler's 3rd Law formula

T^2 = r^3

Substitute the given information




r = 44.814 AU

Therefore, the mean distance of the planet from the sun is 44.814 AU.

To learn more, just click on the following links:

Distance of the Earth to the Sun


Additional example


Why do planets orbit the sun



Good Day


you would have the largest mass of gold if your chunk of gold weighed 1 N on the

Note: Your question is incomplete: I will answer the question hope it satisfy your expectation.

You need more mass of gold in place with lesser acceleration due to gravity.


Force Is measure by mass × acceleration (gravity)  (F = ma)

Since force is constant the relationship between mass and acceleration is inversely proportional, the lesser the acceleration the higher the mass.

Example in finding the mass (mass = Force ÷ acceleration)

Force is constant 1 N or 1 kg.m/s².

                            Earth            Moon        Jupiter

Force                1 kg.m/s²      1 kg.m/s²    1 kg.m/s²

Acceleration     9.8 m/s²       1.62 m/s²   24.79 m/s²

mass                0.102 kg        0.617 kg      0.040 kg

Moon has lesser acceleration, thus needs more mass to have force of 1N

The data above shows you need more mass in areas with lesser acceleration if force is constant 1 N.

Hope it helps=)

If we check A. , Americium 242, it has low penetration of alpha radiation and it was obvious that it was radioactive as the sign says. I said it was radioactive because it was made from bombarding uranium-238 with alpha particles (helium nuclei). An alpha particle was made from two protons and two neutrons. Proton and neutrons are both have strong interactions.

If we check B. , Mg-24 or Magnesium 24, it was only use to study heart disease. Magnesium helps us to maintain normal nerves and muscle functions, supports a healthy immune system, keeps the heartbeat steady, help bones remain same, regulate blood glucose levels, and aid in the production of energy and air. So it was not RADIOACTIVE, since it was useful.

If we check C. and D. , Plutonium-241 captures a neutron and Uranium-238 can be converted into plutonium-239. To produce plutonium-239, atoms of uranium-238 are exploded to neutrons. So I say, these two are RADIOACTIVE.

FINAL ANSWER: B. MG-24 OR Magnesium-24

This is due to Newtons first law of motion.

While she drives to work, the whole system of vehicle is in the state of motion(including book and driver). When she applies brake vehicle stops, but driver and book continues the state of motion cauz braking force is only applied to vehicle. As a result, book falls down.

Do you know the answer?

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