8) Consider two vectors A and B where: Ā= -6.00 i +3.00 9 +3.00 Â

B = 6.00 î - 8.00 ġ + 4.00 k

=

If we want to find the angle between these two vectors, we have two possible options: we can

use the magnitude of the dot product, or the magnitude of the cross product.

A B = AB cos(0)

|X XB= AB sin(0)

However, these approaches give conflicting answers for the value of 0.

a) What is the correct value of theta?

b) Why does the other formula give the wrong answer?

You will be galileo perform the experiment to determine if objects with different mass fall at the same, or different, rates in the air and in a vacuum. (refer to the walk-through video to locate the online lab within the online textbook).

In automobile steering wheel is shown what is the ideal mechanical advantage blank? if the ama is eight what is the efficiency of the steering wheel?

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)