Answer:
E = 0.1472 J
Explanation:
Given that,
The number of turns in the solenoid, N = 2100
Area of the solenoid, A = 10 cm² = 0.001 m²
The length of the solenoid, l = 30 cm = 0.3 m
Current in the solenoid, I = 4 A
We need to find the magnetic energy stored in the solenoid. The expression for the stored energy is :
Where
L is self inductance of the solenoid,
So,
So, 0.1472 J of energy is stored in the solenoid.
Answer:
With an initial speed of 10m/s at an angle 30° below the horizontal, and a height of 8m, the projectile travels 7.49m horizontally before it lands.
Explanation:
Since the horizontal motion is independent from the vertical motion, we can consider them separated. The horizonal motion has a constant speed, because there is no external forces in the horizontal axis. On the other hand, the vertical motion actually is affected by the gravitational force, so the projectile will be accelerated down with a magnitude .
If we have the initial velocity and its angle
, we can obtain the vertical component of the velocity
using trigonometry:
Therefore, if we know the height at which the projectile was launched, we can obtain the final velocity using the formula:
Next, we compute the time the projectile lasts to reach the ground using the definition of acceleration:
Finally, from the equation of horizontal motion with constant speed, we have that:
For example, if the projectile is launched at an angle 30° below the horizontal with an initial speed of 10m/s and a height 8m, we compute:
In words, the projectile travels 7.49m horizontally before it lands.
Answer: 2 hr 45 min
Explanation:
Given
The average speed between San Diego and Los Angeles is
time taken for this trip is
Distance between San Diego and Los Angeles is
For Friday afternoon, the average speed is
time taken to complete the trip is