**Answer:**

**11.48 degree N of W**

**Explanation:**

We are given that

Wind velocity=km/h

Because wind is blowing towards south

Air speed=

Because the captain want to move with air speed in west direction.

x component of relative velocity=-212 km/h

y-Component of relative velocity=-43km/h

**Direction=**

N of W

Hence, the direction in which the pilot should set her course to travel due west=**11.48 degree N of W**

**Answer:**

Approximately .

**Explanation:**

Make use of the fact that total **momentum** is conserved in collisions.

The momentum of an object of mass and velocity is .

The momentum of the two trolleys before the collision would be:

- .
- .

Thus, the total momentum of the two trolleys right before the collision would be .

Since the two trolleys are stuck to one another after the collision, they could modelled as one big trolley of mass .

The momentum of the two trolleys, combined, is conserved during the collision. Thus, the total momentum of the new trolley of mass would continue to be shortly after the collision.

Rearrange the equation to find the velocity of the two trolleys combined:

.

People will always have something easy to to there handy work

**Answer:**

The potential difference across the source is 30.45 V.

**Explanation:**

In this setup we have a voltage divider, we were given the voltage difference on one of the resistors, we know that the difference pottential from the source in this case is the sum of the voltage in each individual resistor, so we can use the following equation to solve this problem:

V_resistor5.4 = (V_source)*(R_5.4)/(R_5.4+R_8.3)

V_source = (V_resistor5.4)*(R_5.4+R_8.3)/(R_5.4)

V_source = (12)*(5.4+8.3)/5.4

V_source = (12)*(13.7)/5.4 = 30.45 V

he potential difference across the source is 30.45 V.

**Answer:**

kinetic friction may be greater than 400 N or smaller than 400 N

**Explanation:**

As we know that maximum value of static friction on the rough surface is known as limiting friction and the formula of this limiting friction is known as

now when object is sliding on the rough surface then the friction force on that surface is known as kinetic friction and the formula of kinetic friction is known as

now we know that

so here value of limiting static friction force is always more than kinetic friction

also we know that

initially when body is at rest then static friction value will lie from 0 N to maximum limiting friction

and hence kinetic friction may be greater than static friction or if the static friction is maximum limiting friction then kinetic friction is smaller than static friction

so kinetic friction may be greater than 400 N or smaller than 400 N