A ski starts from rest and slides down a 30 ∘ incline 70 m long.

a) If the coefficient of friction is 0.095, what is the ski's speed at the base of the incline?

b) If the snow is level at the foot of the incline and has the same coefficient of friction, how far will the ski travel along the level? Use energy methods.

A proton in a high-energy accelerator moves with a speed of c/2. Use the work–kinetic energy theorem to find the work required to increase its speed to the following speeds.

(a) 0.530c
MeV

(b) 0.940c
GeV

A computer is reading data from a rotating CD-ROM. At a point that is 0.0206 m from the center of the disk, the centripetal acceleration is 174 m/s². What is the centripetal acceleration at a point that is 0.0841 m from the center of the disc?

SCENERIO 1

A solid, homogeneous sphere with a mass of m₀, a radius of r₀ and a density of ρ₀ is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the same. Combination answers like 'f or s' are possible answers in some of the cases.

r, f, s, r or s, f or s  The new sphere has a density of ρ < ρ₀ and a radius of r = r₀.
r, f, s, r or s, f or s  The new sphere has a radius of r = r₀ and a mass of m < m₀.
r ,f ,s ,r or s ,f or s  The new sphere has a radius of r < r₀ and a mass of m = m₀.

SCENERIO 2

A solid, homogeneous sphere with a mass of m₀, a radius of r₀ and a density of ρ₀ is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the same. Combination answers like 'r or f or s' are possible answers in some of the cases.

r, f, s, r or s, f or s, r or f or s  The new sphere has a density of ρ > ρ₀ and a radius of r < r₀.
r, f, s, r or s, f or s, r or f or s  The new sphere has a radius of r < r₀ and a mass of m > m₀.
r, f, s, r or s, f or s, r or f or s  The new sphere has a density of ρ < ρ₀ and a mass of m > m₀.

A uranium-238 nucleus at rest undergoes radioactive decay, splitting into an alpha particle (helium nucleus) with mass 6.64×10-27 kg and a thorium nucleus with mass 3.89×10-25 kg. The measured kinetic energy of the alpha particle is 6.73×10-13 J. If after the decay, the thorium nucleus is observed to move in the negative z direction. After the decay, what direction did the alpha particle move? possible answers: Positive x, Negative x, Positive y, Negative y, Positive z, Negative z. After the decay, what is the kinetic energy of the thorium nucleus?

For each of the scenarios below, determine how the total mass of the described object or system is changing, and say whether the scenario Increases the Mass, Decreases the Mass, or that the Mass Remains Unchanged:

A hot stone cooling down

A closed, thermally isolated box containing a controlled exothermic nuclearreaction

A closed, thermally isolated box containing a controlled exothermic chemicalreaction

A glass full of ice cubes melting

A compressed spring slowly relaxing

A car batter being charged

. Ice at −11.0 °C and steam at 146 °C are brought together at atmospheric pressure in a perfectly insulated container. After thermal equilibrium is reached, the liquid phase at 48.0 °C is present. Ignoring the container and the equilibrium vapor pressure of the liquid, find the ratio of the mass of steam to the mass of ice. The specific heat capacity of steam is 2020 J/(kg.C°).

An ideal transformer has 50 turns in its primary (input) and 450 turns in its secondary (output). 10.0-V ac is connected to the primary (input). a) What is the voltage on the secondary (output)? b) What is the secondary (output) current if a 10.0- resistor is connected to the secondary (output)? c) What is the power supplied to the primary (input)?

A bullet of mass 5.00 g is fired horizontally into a wooden block of mass 1.16 kg resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.240. The bullet remains embedded in the block, which is observed to slide a distance 0.200 m along the surface before stopping.

Part A What was the initial speed of the bullet?

9. How do we know whether or not global warming is caused by humans?

1. A uniform magnetic field ? = 0 ? + 0 ? + 76.0 ? μT occurs in the region ? ≥ 0. There is no magnetic field at ? < 0.
i) If an electron enters the field at the origin with velocity ? = 400 ? + 0 ? + 0 ? km s −1 determine its position, ? = ? ? + ? ? + ? ?, when it exits the field.
ii) If a proton enters the field at the origin with the same velocity as the electron, describe how its motion in the field will differ from that of the electron. No calculation is required.
(?? = 9.11 × 10−31 kg; ? = 1.6 × 10−19 C)

How is the cosmic microwave background a logical conclusion from the idea of the Big Bang?

A uniform film of TiO2, 1036 nm thick and having index of refraction 2.62, is spread uniformly over the surface of crown glass of refractive index 1.52. Light of wavelength 490 nm falls at normal incidence onto the film from air. You want to increase the thickness of this film so that the reflected light cancels.

a) What is the minimum thickness of TiO2 that you must add so the reflected light cancels as desired?

b) After you make the adjustment in part (a), what is the path difference between the light reflected off the top of the film and the light that cancels it after traveling through the film? Express your answer in nanometers.

c) Express your answer in wavelengths of the light in the TiO2 film.

I need from 6 to 8 line

What is interoperability as used in the EHR and what is its importance?