A cylindrical rod 25.0 cm long with a mass of 1.20 kg and a radius of 1.50 cm has a ball of diameter of 7.90 cm and a mass of 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top. The apparatus is free to pivot about the bottom end of the rod.

(a) After it falls through 90°, what is its rotational kinetic energy?
J
(b) What is the angular speed of the rod and ball?
rad/s
(c) What is the linear speed of the ball?
m/s
(d) How does this compare with the speed if the ball had fallen freely through the same distance of 29.0 cm?
v_swing is  ---Select--- greater than less than v_fall by  %

what care must the person administering the treatment take

The current through a 83 m long wire connected to a battery is 2.7 A. A section of the wire is cut off and used to build a circuit. When the remaining wire is connected to the same battery as before the current in the wire is 3.9 A. How much wire is left?

describe the process of fractional distillation of petroleum and explain the purpose of this process ? (type here please in simple language)

A rocket with mass 4.00×10³ kg is in a circular orbit of radius 7.40×10⁶ m around the earth. The rocket's engines fire for a period of time to increase that radius to 8.90×10⁶ m, with the orbit again circular.

a) What is the change in the rocket's kinetic energy? Does the kinetic energy increase or decrease?

b) What is the change in the rocket's gravitational potential energy? Does the potential energy increase or decrease?

c) How much work is done by the rocket engines in changing the orbital radius

Compute the volume of each spring and it's uncertainty using error propagation.

What is the formula for finding Volume of a spring? Not sure if any of these help but these are my data from my lab. I just don't know what the formula is, to put it to use. And if anyone can help with error propagation with the volume, that would help alot too.

The length is .1310m
spring diameter is .01425m
wire diameter is .00075m
coil # 165
mass is .02780kg

(a) You took two 50-g ice cubes from your −15 C kitchen freezer and placed them in 200 g of water in a thermally insulated container. If the water is initially at 25 C, what is the final temperature at thermal equilibrium? (b) What is the final temperature if only one ice cube is used? Hint: Watch out for the different possibilities!

A stone is thrown from the top of a building at an angle of -20.0 degrees relative to the horizontal with an initial velocity of 30.0 m/s. The building is 65.0 m tall. 1. Determine how long the stone is in the air 2. Determine the speed of the stone right before it hits the ground. 3. determine the angle of velocity with respect to the x-axis at impact. 4. Determine where the stone strikes the ground.

A stuntman whose mass is 76 kg swings from the end of a 3.5-m-long rope along the arc of a vertical circle. Assuming that he starts from rest when the rope is horizontal, find the magnitudes of the tensions in the rope that are required to make him follow his circular path at each of the following points.

(a) at the beginning of his motion

(b) at a height of 1.5 m above the bottom of the circular arc

(c) at the bottom of the arc

A circular coil with a diameter of 25.0 cm and 158 turns rotates about a vertical axis with an angular speed of 1230 rpm . The only magnetic field in this system is that of the Earth. At the location of the coil, the horizontal component of the magnetic field is 3.81×10−5T, and the vertical component is 2.85×10−5T.
Find the maximum emf induced in the coil.
Answer in mV

Sunlight, reflected from the still surface of a lake (n = 1.33), is totally polarized when the incident light is at what angle with respect to the horizontal? Give your answer to 2 s.f.  

Raise a problematic situation in real life, where mechanical physics is needed to solve it.

The problem raised should contain the following topics, without being limited to this list.

1. Conservation of mechanical energy

2. Conservation of the line or bi-dimensional moment

3. Rotational dynamics

The route followed by a hiker consists of three displacement vectors , , and . Vector is along a measured trail and is 1360 m in a direction 16.0 ° north of east. Vector is not along a measured trail, but the hiker uses a compass and knows that the direction is 27.0 ° east of south. Similarly, the direction of vector is 15.0 ° north of west. The hiker ends up back where she started, so the resultant displacement is zero, or + + = 0. Find the magnitudes of (a) vector b and (b) vector c

You launch a projectile horizontally from a building 29.5 m above the ground at another building 40.6 m away from the first building. The projectile strikes the second building 14.0 m above the ground. What was the projectile s launch speed?