Ajet airliner moving initially at 406 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 568 mph in a direction 15◦ north of east. what is the new speed of the aircraft with respect to the ground?

966 mph

Explanation:

Using as convention:

- East --> positive x-direction

- North --> Positive y-direction

The x- and y- components of the initial velocity of the jet can be written as

While the components of the velocity of the wind are

So the components of the resultant velocity of the jet are

And the new speed is the magnitude of the resultant velocity:

the average speed is 24.57 km/hr

weight of the box is given as

here this is placed on the inclined of angle 42 degree

now this weight will have two components one is along the incline other is perpendicular to it

so here we need to apply a force parallel to incline opposite to its component of weight

so here the component of weight is given as

here we have

so it requires 75 n force to move it upwards