Answer:
If and then for example: If you get at least 6 hours of sleep, you will do better on tests than if you get less sleep.
Explanation:
The time elapsed is 9 seconds
Explanation:
The motion of the ball is a uniformly accelerated motion (a motion with constant acceleration), so we can use the following suvat equation:
where
:
v is the final velocity of the ball
u is the initial velocity
a is the acceleration
t is the time elapsed
For the ball in this problem, we have:
u = 3 m/s is the initial velocity
v = 34.5 m/s is the final velocity
is the acceleration
Solving for t, we find the time taken for this change in velocity:

Learn more about acceleration:
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Answer:
0.0605 Kg m^2
Explanation:
In this case where we have find he moment of inertia of this object about an axis perpendicular to the x-y plane and passing through the origin, we can just add three moment of inertia's .
MOI= 0.25×0.3^2 + 0.35×0.4^2- 0.45×0.2^2
= 0.0605 Kg m^2
Answer:
d. Two soccer balls that are touching each other
Explanation:
Let
be the mass of a tennis ball,
is the mass of a soccer ball.
As the mass of a soccer ball is more than the mass of a tennis ball, so

Let
be the distance between the centers of both the balls near each other and
be the distance between the centers of both the balls touching each other.
So, 
The gravitational force, F, between the two objects having masses M and m and separated by distance d is

Where G is the universal gravitational constant.
As, the gravitational force is directly proportional to the product of both the masses and inversely proportional to the square of the distance between them, so selecting the larger mass (
, soccer ball) separated by a lesser distance (
, touching) to get more gravitational force.
Therefore, there will be a larger gravitational force between them when two soccer balls touching each other.
Hence, option (d) is correct.
To develop this problem, it is necessary to apply the concepts related to Faraday's law and Magnetic Flow, which is defined as the change that the magnetic field has in a given area. In other words

Where
B= Magnetic Field
A = Area
Angle between magnetic field lines and normal to the area
The differentiation of this value allows us to obtain in turn the induced emf or electromotive force.
In this case we have that the flat loop of wire is perpendicular to the magnetic field, therefore the angle is 0 degrees, since its magnetic field acts parallel to the area:
0 then our expression can be written as

From the same value of the electromotive force we have to

Replacing we have

Replacing with our values we have that


Therefore the magnitude of the induced emf in the loop is 0.0237V
On the other hand we have that the current by Ohm's Law can be defined as

For the given value of the resistance and the previously found potential we have to

