To practice problem-solving strategy 8.1 conservation of momentum. protecting his nest, a 600-g peregrine falcon rams a marauding 1.5-kg raven in midair. the falcon is moving at 20.0 m/s , and the raven at 9.00 m/s at the moment of impact. the falcon strikes the raven at right angles to the raven's direction of flight and rebounds straight back with a speed of 5.00 m/s . by what angle does the impact change the raven's direction of motion?

The angle as calculated is

Solution:

As per the question:

Mass of falcon,

Mass of raven,

Initial speed of the falcon,

Initial speed of the raven,

Rebounding speed of the falcon,

Now,

To calculate the angle at which the direction of motion of the raven changes:

By using the principle of conservation of momentum:

The angle of the change of the raven's direction is given by:

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