The cubit is an ancient unit of length based on the distance between the elbow and the tip of the middle finger of the measurer. Assume that the distance ranged from 43 to 53 cm, and suppose that ancient drawings indicate that a cylindrical pillar was to have a length of 5.0 cubits and a diameter of 1.0 cubits. For the stated range, what are the lower values for (a) the cylinder's length in meters, (b) the cylinder's length in millimeters, and (c) the cylinder's volume in cubic meters? What are the upper values for (d) the cylinder's length in meters, (e) the cylinder's length in millimeters, and (f) the cylinder's volume in cubic meters?

I am having a real hard time with this. My answers are always wrong. If you can explain it to me then I will thank you.

During hand-pumped rail car races, a speed of 27.9 km/h has been achieved by teams of four people. A car that has a mass equal to 379 kg is moving at that speed toward a river when Carlos, the chief pumper, notices that the bridge ahead is out. All four people (each with a mass of 75.0 kg) simultaneously jump backward off the car with a velocity that has a horizontal component of 4.00 m/s relative to the car. The car proceeds off the bank and falls into the water a horizontal distance of 22.1 m from the bank.

a) How long is the time of fall of the rail car?

b) What is the horizontal component of the velocity of the pumpers when they hit the ground?

A 5.87-g bullet is moving horizontally with a velocity of +348 m/s, where the sign + indicates that it is moving to the right (see part a of the drawing). The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible. The bullet passes completely through the first block (an inelastic collision) and embeds itself in the second one, as indicated in part b. Note that both blocks are moving after the collision with the bullet. The mass of the first block is 1238 g, and its velocity is +0.631 m/s after the bullet passes through it. The mass of the second block is 1623 g. (a) What is the velocity of the second block after the bullet imbeds itself? (b) Find the ratio of the total kinetic energy after the collision to that before the collision.

The second largest moon in the Solar System is Titan. It orbits Saturn at a distance of 1221.85 x 103 km from the planet. Titan’s radius is 2575 km. Titan’s mass is 1.35x1023 kg, and Saturn’s mass is 5.69x1026 kg. The gravitational constant, G=6.67x10-11 Nm2/kg2. Each problem is worth 3 points. 1. Find the force of gravity between Titan and Saturn. 2. Find the velocity with which Titan orbits Saturn. 3. What would be the acceleration due to gravity at the surface of Titan? 4. What would be the acceleration due to gravity at the surface of Saturn? 5. Find the period of Titan’s orbit – how long it takes to go around Saturn once.

Two metal disks, one with radius ?1 = 2.50 cm and mass ?1 = 0.800 kg and the other with radius ?2 = 5.00 cm and mass ?2 = 1.60 kg are welded together and mounted on a frictionless axis through their common center as shown to the right. a) A light string is wrapped around the edge of the smaller disk and a 1.50 kg block is suspended from the free end of the string. How far will the mass have to descend to give the system of disks 21.0 J of rotational kinetic energy? b) How many revolutions has the system of disks made after the mass has descended a distance of 4.00 m?

An 8.0 m, 240 N uniform ladder rests against a smooth wall. The coefficient of static friction between the ladder and the ground is 0.55, and the ladder makes a 50.0° angle with the ground. How far up the ladder can an 700 N person climb before the ladder begins to slip?
______ m

A rubber ball with a radius of 10.0 cm is uniformly charged with a charge density of p . The electric field at position “X”, 5.00 cm from the center of the ball, is pointing toward the center of the sphere with a magnitude of 2 5.00 10^2 N/ C . What is the magnitude of the electric field 12.00 cm from the center of the sphere? Neglect any dielectric effect of the rubber

An equilateral triangle 7.0 m on a side has a m1 = 25.00 kg mass at one corner, a m2 = 85.00 kg mass at another corner, and a m3 = 115.00 kg mass at the third corner. Find the magnitude and direction of the net force acting on the 25.00 kg mass.

Hooke's Law

Objective: To verify Hooke’s law that the extension of a spring is proportional to the stretching force applied once the elastic limit is not exceeded.

1. a) Mention at least three important precautions that you take while performing the experiment? b)Give one example where Hooke’s law can be applied. c) Draw the forces experienced by the mass spring system. d) Name the forces and state the law applicable here. e)  If a mass of 250 grams is suspended, then find the values of these forces that you have mentioned. (Clear and Legible writing please and thank you)

Three children are riding on the edge of a merry-go-round that is 122 kg, has a 1.60 m radius, and is spinning at 15.3 rpm. The children have masses of 19.9, 29.0, and 38.8 kg. If the child who has a mass of 29.0 kg moves to the center of the merry-go-round, what is the new angular velocity in rpm?

Use the following data to determine the maximum rate at which a standard man can climb a mountain: Blood contains 16.0 wt% hemoglobin (with molecular weight 65,000 g/mol). Each hemoglobin molecule can carry four oxygen molecules. The heart pumps 101 cm³/s blood of density 1.06 g/cm³. Each oxygen molecule can oxidize one sugar unit (the chemical formula per sugar unit is CH₂O, which is an organic alcohol group) to CO₂ and H₂O; the oxidation of 1 g sugar yields about 17 kJ of energy, of which 25% can be used to do muscle work. (Assume the climber has a mass of 66 kg.)

A “friend” borrows your favorite compass and paints the entire needle red. You discover this when you are lost in a cave and have with you two flashlights, a few meters of wire, and (of course) your physics textbook. How might you discover which end of your compass needle is the north-seeking end?

A 100 g ball moving to the right at 4.0 m/s collides head-on with a 200 g ball that is moving to the left at 3.0 m/s.

If the collision is perfectly elastic, what are the speeds of each ball after the collision?

(Vfx)1 and (Vfx)2

What is the direction of 100-g ball after the collision? upward, downard, to the right, to the left?

What is the direction of 200-g ball after the collision? upward, downward, to the right, to the left?

If the collision is perfectly inelastic, what is the speed of the combined balls after the collision?

What is the direction of the combined balls after the collision? upward, downward, to the right, to the left?

A ball is held at rest at some height above a hard, horizontal surface. Once the ball is released it falls, hits the surface, and starts bouncing vertically up and down. Suppose that with each bounce the ball loses a fixed fraction p (with 1>p>0) of its energy. This loss could be due to a number of reasons (inelasticity, drag, etc) that are left unspecified.

1. How many times will the ball bounce before coming to rest (if at all)? Provide a detailed explanation of your reasoning, not simply a one-line answer.
2. How long will it take for the ball to come to rest (if at all)? Give your answer as a formula that contains as variables only p and the time T₁ from the moment that the ball was released to the first contact with the horizontal surface.

Answer should contain careful and detailed reasoning