A hollow sphere of radius 0.230 m, with rotational inertia I = 0.0323 kg·m2 about a line through its center of mass, rolls without slipping up a surface inclined at 10.2° to the horizontal. At a certain initial position, the sphere's total kinetic energy is 13.0 J. (a) How much of this initial kinetic energy is rotational? (b) What is the speed of the center of mass of the sphere at the initial position? When the sphere has moved 1.40 m up the incline from its initial position, what are (c) its total kinetic energy and (d) the speed of its center of mass?

Describe house wiring and specify how parallel or series connections of bulbs and resistors affect the functions.Write in own words and at least one paragraph.

Why do resistors placed in parallel allow a total current that is the sum of the currents that would occur for the individual resistors placed one by one in the same circuit? Explain in terms of Ohm's Law

Show step by step solution please.

A sled weighing 100 N is pulled horizontally across a frozen lake such that the coefficient of kinetic friction between the sled and the snow is 0.1. Penny is riding the sled and she weighs 195 N. If the coefficient of static friction between Penny and sled is 0.7, find the maximum horizontal force which can be applied to the sled before she begins to slide off.

A 900-kg car traveling east at 20.0 m/s collides with a 750-kg car traveling north at 15.0 m/s. The cars stick together. Assume that any other unbalanced forces are negligible. (Draw Diagrams)

(a) What is the speed of the wreckage just after the collision?

(b) In what direction does the wreckage move just after the collision?

(c) What is the total Kinetic Energy before the collision?

(d) What is the total Kinetic Energy after?

In the manufacture of steel engine components radioactive iron (59Fe) is included in a total mass of 0.20 Kg. The component is placed in a test engine with surrounding oil lubricant when the activity due to the isotope is 20.0

A 4.3- cm-radius ball rolls down an inclined plane from rest at the top. The angular acceleration of the rolling ball about its center is 245 rad/s², and its angular speed at the bottom is 44.4 rad/s. How long is the plane?

It is sometimes said that the universe is homogeneous and isotropic. What is meant by each of these descriptions? Are they mutually exclusive, or does one require the other? And what implications rise because of this?

A 400.0-m-wide river flows from west to east at 30.0 m/min. Your boat moves at 100.0 m/min relative to the water no matter which direction you point it. To cross this river, you start from a dock at point A on the south bank. There is a boat landing directly opposite at point B on the north bank, and also one at point C , 75.0 m downstream from B (the figure (Figure 1)).

(a) Where on the north shore will you land if you point your boat perpendicular to the water current?

(b) What distance will you have traveled, if you point your boat perpendicular to the water current?

(c) If you initially aim your boat directly toward point C and do not change that bearing relative to the shore, where on the north shore will you land?

(d) To reach point C at what bearing must you aim your boat?

(e) How long will it take to cross the river?

(f) What distance do you travel?

(g) What is the speed of your boat as measured by an observer standing on the river bank?

Please answer both questions

1) A chimney (length 24.2 m, mass 401 kg) cracks at the base and topples. Assume: the chimney behaves like a thin rod, and does not break apart as it falls, only gravity (no friction) acts on the chimney as it falls, the bottom of the chimney pivots, but does not move.
Find the linear speed of the center of mass of the chimney, in m/s, just as it hits the ground

2)A chimney (length 13 m, mass 922 kg) cracks at the base and topples. Assume: the chimney behaves like a thin rod, and does not break apart as it falls, only gravity (no friction) acts on the chimney as it falls, the bottom of the chimney pivots, but does not move.
Find the linear speed of the very top of the chimney, in m/s, just as it hits the ground.  

During the last shot in a curling match, you attempt a take-out to win the game. The two curling rocks are of equal mass, one red and the other blue, and collide in a glancing collision. The blue rock is initially at rest and is struck by the red rock moving initially East at 4.60 m/s. After the collision, the red rock moves in a direction that makes an angle of 38.0° North of East, while the blue rock makes an angle of 52.0° South of East. Determine the speed of each rock after the collision.

Question 1: Bob is driving his car at 20 m/s down a hill with a slope of 5 degrees. When a deer suddenly jumps out of the woods onto the road, he slams on the brakes, and the car skids to a stop. The mass of the car is 1500 kg, and the coefficient of kinetic friction between the tires and the road is μk = 0.816.

a) (3 points) Draw a free-body diagram for the car.

b) (3 points) Determine the friction force that the road applies to the tires.

c) (6 points) Calculate the distance that the car skids before coming to a stop.

d) (3 points) Calculate the work that is done by friction.

Two blocks with different mass are attached to either end of a light rope that passes over a light, frictionless pulley that is suspended from the ceiling. The masses are released from rest, and the more massive one starts to descend. After this block has descended a distance 1.20m , its speed is 1.50m/s .

a. If the total mass of the two blocks is 16.0kg , what is the mass of the more massive block?

Take free fall acceleration to be 9.80m/s2 .

b. What is the mass of the lighter block?

Take free fall acceleration to be 9.80m/s2 .

Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial speed of 19 m/s at an angle 49 degrees; with respect to the horizontal. Sarah catches the ball 1.5 meters above the ground.

1. What is the maximum height the ball goes above the ground?

2. What is the distance between the two girls?

3. After catching the ball, Sarah throws it back to Julie. The ball leaves Sarah's hand a distance 1.5 meters above the ground, and is moving with a speed of 14 m/s when it reaches a maximum height of 14 m above the ground.

What is the speed of the ball when it leaves Sarah's hand?

4. How high above the ground will the ball be when it gets to Julie? (note, the ball may go over Julie's head.)