Which most likely indicates a chemical change has occurred?

What is the (magnitude of the) centripetal acceleration (as a multiple of g=9.8~\mathrm{m/s^2}g=9.8 m/s 2 ) towards the Eart

Wittaler [7]

Answer:

The centripetal acceleration as a multiple of $g=9.8 m/s^{2}$ is $1.020x10^{-3}m/s^{2}$

Explanation:

The centripetal acceleration is defined as:

$a = \frac{v^{2}}{r}$ (1)

Where v is the velocity and r is the radius

Since the person is standing in the Earth surfaces, their velocity will be the same of the Earth. That one can be determined by means of the orbital velocity:

$v = \frac{2 \pi r}{T}$ (2)

Where r is the radius and T is the period.

For this case the person is standing at a latitude $71.9^{\circ}$ . Remember that the latitude is given from the equator. The configuration of this system is shown in the image below.

It is necessary to use the radius at the latitude given. That radius can be found by means of trigonometric.

$\cos \theta = \frac{adjacent}{hypotenuse}$

$\cos \theta = \frac{r_{71.9^{\circ}}}{r_{e}}$ (3)

Where $r_{71.9^{\circ}}$ is the radius at the latitude of $71.9^{\circ}$ and $r_{e}$ is the radius at the equator ( $6.37x10^{6}m$ ).

$r_{71.9^{\circ}}$ can be isolated from equation 3:

$r_{71.9^{\circ}} = r_{e} \cos \theta$ (4)

$r_{71.9^{\circ}} = (6.37x10^{6}m) \cos (71.9^{\circ})$

$r_{71.9^{\circ}} = 1.97x10^{6} m$

Then, equation 2 can be used

$v = \frac{2 \pi (1.97x10^{6} m)}{24h}$

Notice that the period is the time that the Earth takes to give a complete revolution (24 hours), this period will be expressed in seconds for a better representation of the velocity.

$T = 24h . \frac{3600s}{1h}$ ⇒ $84600s$

$v = \frac{2 \pi (1.97x10^{6} m)}{84600s}$

$v = 146.31m/s$

Finally, equation 1 can be used:

$a = \frac{(146.31m/s)^{2}}{(1.97x10^{6}m)}$

$a = 0.010m/s^{2}$

Hence, the centripetal acceleration is $0.010m/s^{2}$

To given the centripetal acceleration as a multiple of $g=9.8 m/s^{2}$ it is gotten:

$\frac{0.010m/s^{2}}{9.8 m/s^{2}} = 1.020x10^{-3}m/s^{2}$

6 0

3 years ago

Solar energy _____. is a nonrenewable energy source depends on time of day and time of year uses the energy of moving water rele

mrs_skeptik [129]

Solar power is a renewable energy resource source depends on time of day and time of year. Its source is from the sun and the batteries that needs this power does not run out of energy.

3 0

3 years ago

Analysis of the relationship between the fuel economy (mpg) and engine size (liters) for 35 models of cars produces the regres

kvasek [131]

Answer:

Gas mileage is 17.29

Explanation:

Given data:

The total number of the model is 35

The total size of the engine is 5 ltr

The regression model is given as

$36.44 - 3.829\times engine\ size$

From the information given in question we have

Regression equation is : model- mpg $= 36.44 - 3.829\times engine\ size$

Therefore for engine capacity of 5 liters;

Gas mileage $= 36.44 - 3.829\times 5 = 17.29$

Gas mileage is 17.29

8 0

3 years ago

A train has a mass of 100000 kilograms.if its kinetic energy is 3mj what velocity is it travelling at

Elza [17]

Answer:

V = 7.75 meters per seconds.

Explanation:

Given the following data;

Mass = 100000 Kilograms

Kinetic energy = 3 Megajoules = 3 * 10⁶ Joules

To find the velocity of the train;

Kinetic energy can be defined as an energy possessed by an object or body due to its motion.

Mathematically, kinetic energy is given by the formula;

$K.E = \frac{1}{2}MV^{2}$

Where;

K.E represents kinetic energy measured in Joules.

M represents mass measured in kilograms.

V represents velocity measured in metres per seconds square.

Substituting into the formula, we have;

$3000000 = \frac{1}{2}*100000*V^{2}$

Cross-multiplying, we have;

$6000000 = 100000V^{2}$

$V^{2} = \frac{6000000}{100000}$

$V^{2} = 60$

Taking the square root of both sides, we have;

$V = \sqrt {60}$

V = 7.75 m/s

7 0

3 years ago

The fulcrum is the

olga_2 [115]

Answer:

point of support on which a lever rotates.

Explanation:

The fulcrum is the point of support on which a lever rotates. Fulcrum is a pivotal part of simple machines.

The fulcrum provides the platform for a lever to torque.

The force that opposes motion by the applied force is termed the frictional force.
Friction is a force that opposes motion.
The stored energy of an object is its potential energy.
The potential energy is the energy due to the position of a body.
The distance an object moves when doing work is termed its displacement.

6 0

3 years ago