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

An 80 kg man stands in a very strong wind moving at 15 m/s at torso height. As you know, he will need to lean in to the wind, and we can model the situation to see why. Assume that the man has a mass of 80 kg, with a center of gravity 1.0 m above the ground. The action of the wind on his torso, which we approximate as a cylinder 50 cm wide and 90 cm long centered 1.2 m above the ground, produces a force that tries to tip him over backward. To keep from falling over, he must lean forward.

Part A

What is the magnitude of the torque provided by the wind force? Take the pivot point at his feet. Assume that he is standing vertically. Assume that the air is at standard temperature and pressure.

Express your answer with the appropriate units.

For Part A. I tried 72.9 degrees, 85.02 degrees and 234.44 (I'm desperate)

Part B

At what angle to the vertical must the man lean to provide a gravitational torque that is equal to this torque due to the wind force?

Express your answer in degrees.

For part B. I already tried 5.25 degrees, 5.5 degrees and 6.5 degrees

I need help please!!!!

A 144-g baseball moving 29 m/s strikes a stationary 5.25-kg brick resting on small rollers so it moves without significant friction. After hitting the brick, the baseball bounces straight back, and the brick moves forward at 1.21 m/s .

A)Determine the baseball's speed after the collision.

B)Determine the total kinetic energy before the collision.

C)Determine the total kinetic energy after the collision.

True or false: The quantity represented by ω0 is a function of time (i.e., is not constant).

True or false: The quantity represented by ω is a function of time (i.e., is not constant

Which of the following equations is not an explicit function of time t, that is, does not involve t as a variable, and is therefore useful when you do not know or do not need the time? θ=θ₀+ω₀t+(1/2)αt²

ω=ω₀+αt

ω²=ω₀²+2α(θ−θ₀)

In the equation ω=ω0+αt, what does the time variable t represent? Choose the answer that is always true. Several of the statements may be true in a particular problem, but only one is always true. Choose the answer that is always true. Several of the statements may be true in a particular problem, but only one is always true.

the moment in time at which the angular velocity equals ω0

the moment in time at which the angular velocity equals ω

the time elapsed from when the angular velocity equals ω0 until the angular velocity equals ω

Suppose you are asked to find the amount of time t, in seconds, it takes for the turntable to reach its final rotational speed. Which of the following equations could you use to directly solve for the numerical value of t? Suppose you are asked to find the amount of time , in seconds, it takes for the turntable to reach its final rotational speed. Which of the following equations could you use to directly solve for the numerical value of ?

θ=θ₀+ω₀t+(1/2)αt²

ω=ω₀+αt

ω²=ω₀²+2α(θ−θ₀)

More information is needed before t can be found.

You drop a steel ball bearing, with a radius of 3.40 mm, into a beaker of honey. Note that honey has a viscosity of 6.00 Pa/s and a density of 1360 kg/m3, and steel has a density of 7800 kg/m3. Assume that g = 9.8 m/s2. (a) What is the terminal speed of the ball bearing? m/s (b) Aluminum has a density of 2700 kg/m3. What radius should an aluminum ball have to have the same terminal speed in honey that the steel ball has?. mm