An eagle descends steeply onto its prey. Its weight (the grave- national force on the eagle), of magnitude 60.0 N, points downward in
the -y-direction. The lift force exerted on the eagle's wings by the air,
also of magnitude 60.0 N, is at an angle of 20.0° from the vertical (the
+y-direction) and 70.0° from the +x-direction. The drag force (air re-
distance) exerted on the eagle by the air has magnitude 15.0 N and is
at an angle of 20.0° from the-x-direction
and 70.0° from the +y-di-
rection. Find the x- and y-components of the net external force on the
eagle, and find the force's magnitude and direction.

What is the length x of the side of the triangle below? (hint: use the cosine function)

The ultracentrifuge is an important tool for separating and analyzing proteins. because of the enormous centripetal accelerations, the centrifuge must be carefully balanced, with each sample matched by a sample of identical mass on the opposite side. any difference in the masses of opposing samples creates a net force on the shaft of the rotor, potentially leading to a catastrophic failure of the apparatus. suppose a scientist makes a slight error in sample preparation and one sample has a mass 10 mg larger than the opposing sample. if the samples are 12 cm from the axis of the rotor and the ultracentrifuge spins at 70,000 rpm, what is the magnitude of the net force on the rotor due to the unbalanced samples? ( be thorough on your answer)

While you are driving in the lane next to the curb on a multi-lane road the car on your left suddenly moves toward you lane. they are about toy crash into your front fender. you