PLEASE HELP ME
1.65 m long broom is being used to sweep away some dirt. The brush is moving the dirt with 4.30 N of force. The person’s hand is 0.55 m from the top of the broom (which is the fulcrum).

a. What force does a person have to apply to sweep the dirt?
b. What is the broom’s ideal mechanical advantage?

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)

Ahanging spring stretches by 35.0 cm when an object of mass 450 g is hung on it at rest. in this situation, we define its position as x = 0. the object is pulled down an additional 18.0 cm and released from rest to oscillate without friction. what is its position x at a moment 84.4 s later? express your answer in cm.

What is the name of the perceived change in a sound wave’s frequency due to motion between the observer and the sound source?