Answer:
<em>The total time is: t=451.22 sec</em>
<em>The average speed is: V=34.57 m/s</em>
Explanation:
<u>Average speed</u>
The average speed is calculated by dividing the total distance traveled by an object (x) by the total time it took it to travel that distance (t).

Since the student makes the trip in two parts, we have to calculate the total distance and the total time.
We know the distance to school is 7.8 Km = 7,800 m. The student makes his way home over the same distance, thus the total distance is
x=2*7,800 m=15,600 m
The first trip to school was done at an average speed of v1=32.6 m/s. Knowing the distance and speed, we can calculate the time:

The second trip back home was done at an average speed of v2=36.8 m/s. Let's calculate the second time:

The total time is:


The average speed is:


Answer:
54 N
Explanation:
We have two positive charges 12uC and 5 uC ,they are kept at a distance of 10cm.
We have a relation for force between two charges q1,q2 as

Value of k is 
On substituting the values into the equation we get,

Hence the force between them is 54 N.
Answer:
15.76°
Explanation:
Hi!
Let C~ = A~ + B~
Then
C~ dot A~ = |C| |A| cos Ф
C~ dot A~ = (A~ + B~) dot A~ = |A|^2 + |B| |A| cos(120)
Therefore
cos Ф = (|A| + |B| cos(120)) / |C| = 15.65/|C|
and
|C|^2 = |A|^2 + |B|^2 + 2 |B| |A| cos(120)
|C| = 16.261
cos Ф = 15.65/16.261
Ф = 15.76°