Answer:
The units of the orbital period P is <em>years </em> and the units of the semimajor axis a is <em>astronomical units</em>.
Explanation:
P² = a³ is the simplified version of Kepler's third law which governs the orbital motion of large bodies that orbit around a star. The orbit of each planet is an ellipse with the star at the focal point.
Therefore, if you square the year of each planet and divide it by the distance that it is from the star, you will get the same number for all the other planets.
Thus, the units of the orbital period P is <em>years </em> and the units of the semimajor axis a is <em>astronomical units</em>.
Answer:
10
Explanation:
(r) = <10 cos 6t, 10 Sin 6t>
The distance traveled by the object is the magnitude of vector r.
The magnitude of vector r is given by


r = 10
Answer:
Work done, W = −287500 Joules
Explanation:
It is given that,
Mass of the car, m = 920 kg
The car is travelling at a speed of, u = 90 km/h = 25 m/s
We need to find the amount of work must be done to stop this car. The final velocity of the car, v = 0
Work done is also defined as the change in kinetic energy of an object i.e.


W = −287500 Joules
Negative sign shows the work done is done is opposite direction.
<span>"forefinger in the direction of the lines of force" 100% correct, I took the test.</span>
(a) The magnitude of the force that the magnetic field exerts on the loop is 0.042 N.
(b) The direction of the force that the magnetic field exerts on the loop will be out of the plane.
<h3>
Magnetic force exerted on the loop</h3>
F = BIL
where;
- I is current in the loop
- L is length of the loop
emf = BVb
where;
- b is breadth of the loop
- V is velocity
- B is magnetic field
emf = 2.6 x 3 x 0.018 = 0.1404 V
Current in the loop, I = emf/R = 0.1404/0.8 = 0.18 A
<h3>Magnetic force</h3>
F = BIL
where;
F = 2.6 x 0.18 x 0.09 = 0.042 N
<h3>Direction of the force</h3>
The direction of the force that the magnetic field exerts on the loop will be out of the plane.
Learn more about magnetic force here: brainly.com/question/13277365
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