near the earth surface the amount of mass an object has does not affect its acceleration due to gravity

Answers

Answer 1
Answer:

Answer:

True

Explanation:

As per the gravitational law, the gravitational force (F) can be expressed as

F = (GMm)/(r^(2) ) -------------  (1)

where,

F= Gravitational force

G= Gravitational constant

M= Mass of the Earth

m= Mass of the object

r= Distance between Earth and object

Also, the force due to gravity,

F=mg -------------  (2)

where,

F= Gravitational force

g= Acceleration due to gravity

m= Mass of the object

Deducing both the equations

mg = (GMm)/(r^(2) )\n g = (GM)/(r^(2) )\n

From the above equation it is clear that the acceleration due to gravity is independent of the mass of the object.


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The displacement vector from your house to the library is 520 m long, pointing 40 ∘ north of east.What are the x-component (x-axis is directed from west to east) of this displacement vector?What are the y-component (y-axis is directed from south to north) of this displacement vector?

Answers

Answer:

398.3 m, 334.2 m

Explanation:

The magnitude of the displacement vector is

v = 520 m

And its direction is

\theta=40^(\circ)

measured as north of east.

The x-component of this vector is given by:

v_x = v_0 cos \theta = (520)cos 40^(\circ)=398.3 m

While the y-component is given by

v_y = v_0 sin \theta =(520)sin 40^(\circ)=334.2 m

Final answer:

The x-component of the displacement vector (east-west direction) is approximately 398 m and the y-component (north-south direction) is approximately 334 m.

Explanation:

Displacement vectors contain both magnitude and direction information. In the case of a displacement vector 520 m long, pointing 40 degrees North of East, we can break it down into x and y components using trigonometric functions, specifically cosine and sine.

For the x-component (east-west direction), we can use the cosine function because it gives us the adjacent side in a right triangle, which is the east-west direction in our case. Therefore, the x-component will be:
520 m * cos(40) = 398m (rounded to nearest unit).

For the y-component (north-south direction), we can use the sine function because it gives us the opposite side in a right triangle, which is the north-south direction in our case. Hence the y-component will be:
520 m * sin(40) = 334 m (rounded to nearest unit).

Learn more about Displacement Vector Components here:

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Do heavier objects fall slower than lighter things?

Answers

no, hevier things only seem to go faster because of air resistance

if you dropped two identical bottles in a vacum, with one empty and the other full, then both bottles would hit the ground at the same time
No. The gravitational pull on all objects -9.8m/s/s.
Because there is no mass variable in order to find the rate at which objects fall, this means that mass does not have an affect on the rate at which objects fall.
You also must consider wind resistance but that's a more in depth concept.

You can watch a video on youtube called "Hammer vs. Feather - Physics on moon". It shows how on the moon (Where there is no wind resistance) how a hammer and a feather fall at the same rate

What is a combination of two or more simple machines?

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Answer:

B) A Compound machine

Explanation: I just took this quiz

Is stained glass window a transparent?

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A stained glass window usually has several sections to it,
and they handle light differently.

-- The sections that are completely clear, and if you look
through one of them you can see the cars outside in the
parking lot, are transparent.

-- The sections that are milky, and light comes through them
but if you look through them you can't see the shapes of cars
or people, are translucent.

-- The sections that are so heavily stained or tinted that they
look completely dark are opaque.

a stained glass window is not a transparent because it doesn't show anything outside because it is stained so the answer is not transparent.

If a substance conducts heat easily, it is considered to be agood insulator.bad substance.good conductor.poor conductor.

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If a Substance conducts heat easily then it is considered a good conductor, since the electrons can move freely within the substance.
I think the answer is good conductor!

How is acceleration of the cart related to the amount of force acting on it? the strips of it?

Answers

We know that Newton's Second Law of Motion states that -

                                        F = ma

It is clear that acceleration is directly proportional to the Force acting on a body. So, the amount of Force acting on a body is directly proportional to the acceleration, when the mass is constant.
Force on the cart is directly proportional to the acceleration.

This relationship was given be Sir Isaac Newton.

Mathematically ;

F = ma

Where F is force, a is acceleration and m is constant of proportionality , also known as mass.