Answer:
The x and y components of the 500 N-force are 321.394 newtons and 383.023 newtons, respectively.
Explanation:
At first we present a figure describing the situation explained on statement, the x and y components of the force are determined by the following trigonometric expressions:
(1)
(2)
Where:
- Magnitude of the force, measured in newtons.
- Direction of the force above the horizontal surface, measured in sexagesimal degrees.
If we know that 
and 
, then the components of the force is:
The x and y components of the 500 N-force are 321.394 newtons and 383.023 newtons, respectively.
Answer:
B. You would weigh the same on both planets because their masses and the distance to their centers of gravity are the same.
Explanation:
Given that Planets A and B have the same size, mass.
Let the masses of the planets A and B are 
and 
respectively.
As masses are equal, so 
.
Similarly, let the radii of the planets A and B are 
and 
respectively.
As radii are equal, so 
.
Let my mass is m.
As the weight of any object on the planet is equal to the gravitational force exerted by the planet on the object.
So, my weight on planet A, 
my weight of planet B, 
By using equations (i) and (ii),
.
So, the weight on both planets is the same because their masses and the distance to their centers of gravity are the same.
Hence, option (B) is correct.
Answer:
this is due to difference in speeds of sound and light
Explanation:
light has a speed of 3×10^8 m/s and it is seen at once because it takes negligible time due to very high speed and short distance that is why as soon as lightning occurs we can see it . since thundering sound travels with speed of sound which is about 330 to 340 m/s in air hence it takes some time as described in question as 6 seconds
