A woman is riding a Jet Ski at a speed of 30 m/s and notices a seawall straight ahead. The farthest she can lean the craft in order to make a turn is 23

Tarzan has foolishly gotten himself into another scrape with the animals and must be rescued once again by Jane. The 60.0 kg Jane starts from rest at a height of 5.50 m in the trees and swings down to the ground using a thin, but very rigid, 32.0 kg vine 8.50 m long. She arrives just in time to snatch the 72.0 kg Tarzan from the jaws of an angry hippopotamus. What is Jane's (and the vine's) angular speedHow high will Tarzan and Jane go on their first swing after this daring rescue?

A 25 g glass tumbler contains 200 mL of water at 24°C. If two 15 g ice cubes each at a temperature of -3°C are dropped into the tumbler, what is the final temperature of the drink? Neglect thermal conduction between the tumbler and the room. 1°C

A resistor with 830? is connected to the plates of a charged capacitor with capacitance 4.60?F . Just before the connection is made, the charge on the capacitor is 7.00mC

Part A

What is the energy initially stored in the capacitor?

Part B

What is the electrical power dissipated in the resistor just after the connection is made?

Part C

What is the electrical power dissipated in the resistor at the instant when the energy stored in the capacitor has decreased to half the value calculated in part A?

The temperature of 2.00 mol of an ideal monatomic gas is raised 15.0 K at constant volume. What are (a) the work W done by the gas, (b) the energy transferred as heat Q , (c) the change ?E_int in the internal energy of the gas, and (d) the change ?K in the average kinetic energy per atom

A crate is given a push such that it has an initial speed of 5.2 m/s headed up a 15 degree incline. If the crate travels 3.5m up the incline before reversing direction, what is the coefficient of kinetic friction between the crate and the incline?

A motor cycle stuntman drives off a cliff at 80 mi/hr and hits the safety net 2.9 s later. How high was the cliff and how far is the net from the base of the cliff?

A rock is thrown horizontally from the 2nd floor building and it lands 7.5 m from the base of the building. Assume the initial height of the rock is 5.5 m. What is the initial speed of the rock?

A 35.0-g object connected to a spring with a force constant of 40.0 N/m oscillates with an amplitude of 6.00 cm on a frictionless, horizontal surface.

(a) Find the total energy of the system.
mJ

(b) Find the speed of the object when its position is 1.15 cm. (Let 0 cm be the position of equilibrium.)
m/s

(c) Find the kinetic energy when its position is 2.50 cm.
mJ

(d) Find the potential energy when its position is 2.50 cm.
mJ

12. A simple pendulum is made of a hollow spherical bob full of mercury and suspended by a thin string. If the mercury begins to leak from the small hole at its bottom, then its time period:

(a) Increases.                         (b) Decreases.

(c)First increases and then decreases till it is the same again

(d) First decreases and then increase still it is the same again

The pre-2000’s-style television sets were based on cathode ray tube (CRT) technology. A CRT is a vacuum tube that operates by heating an internal metal filament (the cathode) to a high temperature so that electrons are ejected from its surface. These electrons are then accelerated through a large voltage towards the positively charged anode before striking a phosphor-coated screen to produce visible light. Assume that the electrons start from rest and are accelerated across a voltage difference of 1000~V1000 V. Calculate the speed of the electron when it strikes the phosphor-coated screen.

A block of mass 0.5 kg is pushed against a horizontal spring of negligible mass, compressing the spring a distance of Δx as shown in Figure 5. The spring constant is 450 N/m. When released the block travels along a frictionless horizontal surface to point B, the bottom of a vertical circular track of radius R = 1 m and continues to move up the track. The circular track is not smooth. The speed of the block at the bottom of the vertical circular track is vB = 12 m/s, and the block experiences an average frictional force of 7.0 N while sliding up the curved track.

What was the initial compression of the spring?

What is the speed of the block at the top of the circular track?

Does the block reach the top of the track, or does it fall off before reaching the top?

Suppose two highly precise, identical clocks are synchronized and one clock is placed at the North Pole and one clock is placed at the equator. After 100 years, how much will the clocks differ in time? You can assume Earth is a perfect sphere of radius 6.37 x 10⁶ m and makes one revolution in exactly 24 hours.

(You will have to use a spreadsheet program that holds a lot of decimal places rather than your calculator to find your answer.)

a 2.34-kg cart on a long, level, low friction track is heading for a small electric fan at 0.21 m/s. The fan which was initially off, is turned on. As the fan speeds up, the magnitude of the force it exerts on the cart is given by at^2, where a=0.0200 N/s^2

A. What is the speed of the cart 3.5 s after the fan is turned on? (first i got 0.4958 m/s but was wrong)

B. After how many seconds is the cart's velocity zero

You want to use the idea of electromagnetic induction to make the bulb in your small flashlight glow; it glows when the potential difference across it is 1.5 V. You have a small bar magnet and a coil with 100 turns, each with area 3.0

A solid wood door 1.00 m wide and 2.00 m high is hinged along one side and has a total mass of 45.0kg . Initially open and at rest, the door is struck at its center by a handful of sticky mud with mass 0.400 kg , traveling perpendicular to the door at 12.0 m/s just before impact.

A) Find the final angular speed of the door

B) Does the mud make a significant contribution to the moment of inertia? Yes or no?