can you please help me with this physics problem?

1. (10 p) A uniform thin rod of mass M and length L is rotating around an axis that is perpendicular to the rod and passes through the midpoint, as shown in the figure below, (a). The moment of inertia about this axis is lo. When the axis of rotation is moved by a distance D, as shown in the figure below, (b), the moment of inertia is four times larger. Determine the distance D. SHOW YOUR WORK. The value for lo is: 1금 == 12 ML2 Axis of Rotation (a) Axis of Rotation (b) L 12 27 2 L D 12 L

12.5 ⚫. A uniform lead sphere and a uniform aluminum sphere have the same mass. What is the ratio of the radius of the aluminum sphere to the radius of the lead sphere?

12.7 ⚫ Oceans on Mars. Scientists have found evidence that Mars may once have had an ocean 0.500 km deep. The acceleration due to gravity on Mars is 3.71 m/s2. (a) What would be the gauge pressure at the bottom of such an ocean, assuming it was freshwater? (b) To what depth would you need to go in the earth's ocean to experience the same gauge pressure?

12.3 ⚫ You purchase a rectangular piece of metal that has dimensions 5.0 ×ばつ 15.0 x 30.0 mm and mass 0.0158 kg. The seller tells you that the metal is gold. To check this, you compute the average density of the piece. What value do you get? Were you cheated?

problem 2.5 in Modern Physics, 2nd ed, by Taylor et all

a Air B Water A+ Oil Mercury d = 66 cm. The pressure of Air (labelled) inside the tube is kPa.

R N Va R = 37 cm. Then vg is __ m/s.

This equipment part, m= 4 kg

he left ventricle of a patient pumps blood. The power of the heart to increase blood pressure is 1.2 W. Its flow rate is 336 cc/s. It increases blood pressure by _____ kPa.

Its angular speed is 1.3x106 rad/s. The circular path has a radius of _____ cm.

Hospitals use hydraulic stretchers The output piston cylinder has a 5cm radius . The foot pedal force is 300 N. It gives a hydraulic life force of 810 N. The input piston cylinder has _____ cm radius.