Answer:
691 m
Explanation:
In these problems the time a ball is in the air is determined by the gravitational acceleration (y-coordinate) and the distance it travels is related to the velocity in the x-coordinate.
First get the x and y components of the initial speed.
Initial speed has a magnitude of 125 and a direction of 30°
speed in x = 125 cos 30° = 108.3 m/s
speed in y = 125 sin 30° = 62.5 m/s
The time it takes to the ball to reach the highest height (when the speed in the y-coordinate is 0) is:
0 = 62.5 - 9.8*t
t = 6.38 s
With the time you can calculate the distance travelled in the x-coordinate at a constant speed of 108.3.
d = vt
d = 108.3 * 6.38
d = 691 m
Answer:
Explanation:
First of all, we need to calculate the magnetic field magnitude at 25 cm from the wire, which is given by
where
μ0 = 4π × 10-7 t · m/a is the vacuum permeability
I = 12 A is the current in the wire
r = 25 cm = 0.25 m is the distance from the wire
Substituting,
Now we can calculate the energy density of the magnetic field, which is given by
And substituting, we find
Answer:
Explanation:
The distance from Dallas to Houston is 362,000 meters:
Tom drives with an average speed of:
Then, knowing these values, you can use the following formula in order to find the time "t":
Therefore, substituting values into the formula, you get:
Rounded to the the hundredths place:
Answer:
Explanation:
The mechanical advantage with a shorter lever will always be greater than 1.
It is so because with a longer effort arm we need to apply lesser force to lift a unit mass which is at a shorter distance from the fulcrum. This is in accordance with the conservation of moments.
where:
force on the effort arm
force on the load arm
are the lengths of load effort arm and load arm respectively.
So, one factor balances the other keeping the product of the two constant.
And we know that mechanical advantage is :
Answer:
b. aligned according to magnetic fields
Explanation:
just took a quiz and i got it right .