The slope of the line on any speed vs time graph is equal to the objects ?

A ball is attached to a string of length 3 m to make a pendulum. The pendulum is placed at a location that is away from the Eart

Musya8 [376]

1) $0.61 m/s^2$

2) 13.9 s

Explanation:

1)

The acceleration due to gravity is the acceleration that an object in free fall (acted upon the force of gravity only) would have.

It can be calculated using the equation:

$g=\frac{GM}{r^2}$ (1)

where

G is the gravitational constant

$M=5.98\cdot 10^{24} kg$ is the Earth's mass

r is the distance of the object from the Earth's center

The pendulum in the problem is at an altitude of 3 times the radius of the Earth (R), so its distance from the Earth's center is

$r=4R$

where

$R=6.37\cdot 10^6 m$ is the Earth's radius

Therefore, we can calculate the acceleration due to gravity at that height using eq.(1):

$g=\frac{GM}{(4R)^2}=\frac{(6.67\cdot 10^{-11})(5.98\cdot 10^{24})0.}{(4\cdot 6.37\cdot 10^6)^2}=0.61 m/s^2$

2)

The period of a simple pendulum is the time the pendulum takes to complete one oscillation. It is given by the formula

$T=2\pi \sqrt{\frac{L}{g}}$

where

L is the length of the pendulum

g is the acceleration due to gravity at the location of the pendulum

Note that the period of a pendulum does not depend on its mass.

For the pendulum in this problem, we have:

L = 3 m is its length

$g=0.61 m/s^2$ is the acceleration due to gravity (calculated in part 1)

Therefore, the period of the pendulum is:

$T=2\pi \sqrt{\frac{3}{0.61}}=13.9 s$

4 0

3 years ago

When two license plates are issued they need to be attached to the _________ of the vehicle they were issued for.

Sergio039 [100]

Answer:

Front and the rear bumpers.

Explanation:

When two license plates are issued they need to be attached to the Front and the rear bumpers of the vehicle they were issued for.

7 0

3 years ago

The molecular mass of sodium oxide (Na2O) is

tresset_1 [31]

<span>The answer is 62 u. The molecular mass of a molecule (Mr) is the sum of atomic masses (Ar) of its elements. Ar(Na) = 23 u. Ar(O) = 16 u. Therefore, the molecular mass of sodium oxide is 62 u: Mr(Na2O) = 2 * Ar(Na) + Ar(O) = 2 * 23 u + 16 u = 46 + 16 = 62 u.</span>

7 0

3 years ago

A planet's density can be measured by combining

Lena [83]

Answer:

a. Doppler and transit observations.

Explanation:

By means of the dopler effect, the radial velocity of an extrasolar planet can be measured, this is achieved by observing Doppler shifts in the spectrum of the star around which the planet orbits. This measure, combined with the transit observations, makes possible determine the density of the planet.

5 0

3 years ago

These diagrams represent two types of tectonic plate boundaries

trapecia [35]

Convergent boundaries are caused by the collision of two plates and can originate volcanoes. Transforming boundaries produce fractures by displacement. <em>The correct option is D. Type A boundaries have fewer volcanoes. </em>

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The crust -the outermost layer of the earth- is divided into many plates that move over the mantle.

These plates are limited by three types of ridges or borders that differ in the movement they produce.

Boundaries types:

I. Divergent:

This boundary occurs when two plates separate and molten material rises from the mantle creating a new crust.

The hot material creates a new seabed between the separating plates, expanding the sea bottom.

II. Convergent.

Collision area between two plates.

Two oceanic plates might collide, or one oceanic plate with a continental one.

In this last case, the oceanic crust sinks under the continental plate, and magma rises to the surface by crevices.

The thicker and older plate subduces under the other plate.

Collisions create volcanic arches and continental arches.

III. Transforming.

The plates slide laterally with each other, and they are usually called faults.

It is associated, in general, with the oceanic ridge, although it might also occur in the continental plate.

No rocky material is either destroyed or formed.

When the plates move and produce a displacement of one transforming limits from side to side, earthquakes occur.

The movement breaks the crust and originates pronounced fractures.

In the attached images, we can see

image A representing transforming boundaries,

image B representing Convergent boundaries.

Image B is the one that can originate volcanoes because transforming boundaries only produce fractures.

So the correct option would be D.

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5 0

2 years ago