A mass m = 16 kg is pulled along a horizontal floor with NO friction for a distance d =8.4 m. Then the mass is pulled up an incline that makes an angle ? = 25

1. When a glass rod is rubbed with silk, it
(a) gains electrons from silk.
(b) gives electrons to silk.
(c) gains protons from silk.
(d) gives protons to silk.

2. In general, metallic ropes are suspended on the carriers taking inflammable materials. The reason is
(a) to control the speed of the carrier.
(b) to keep the centre of gravity of the carrier nearer to the earth.
(c) to keep the body of the carrier in contact with the earth.
(d) none of these.

3. Two similar spheres having +Q and -Q charges are kept at a certain distance. F force acts between the two. If at the middle of two spheres, another similar sphere having +Q charge is kept, then it experiences a force in magnitude and direction as
(a) zero having no direction.
(b) 8F towards +Q charge.
(c) 8F towards -Q charge.
(d) 4F towards +Q charge.

4. A charge Q is divided into two parts of q and Q – q. If the coulomb repulsion between them when they are separated is to be maximum, the ratio of Q/q should be
(a) 2:1
(b) 1/2
(c) 4:1
(d) 1/4

5. Two charges of equal magnitudes kept at a distance r exert a force F on each other. If the charges are halved and distance between them is doubled, then the new force acting on each charge is

a)f/8

b)f/4

c)4f

d)f/16

6. The electric field inside a spherical shell of uniform surface charge density is
(a) zero.
(b) constant, less than zero.
(c) directly proportional to the distance from the centre.
(d) none of the these

7. A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by

8. Electric field at a point varies as r° for
(a) an electric dipole
(b) a point charge
(c) a plane infinite sheet of charge
(d) a line charge of infinite length

9. The electric field intensity due to an infinite cylinder of radius R and having charge q per unit length at a distance rir r(r > R) from its axis is
(a) directly proportional to r².
(b) directly proportional to r³.
(c) inversely proportional to r.
(d) inversely proportional to r².

10. The magnitude of electric field intensity E is such that, an electron placed in it would experience an electrical force equal to its weight is given by
(a) mge
(b) mg/e
(c) e/mg
(d) e²g/m²

PLEASE TYPE THE ANSWER

As simply as you can but with complete and comprehensive detail, state and explain each of Newtons Three Fundamental Laws of Motion. After you have explained all Three Laws look through the example problems given in the book and come up with and explain an example problem of your own. It must include an explanation of how at least one of Newton's laws is used if not more than one.

A blue ball is thrown upward with an initial speed of 22.2 m/s, from a height of 0.5 meters above the ground. 2.7 seconds after the blue ball is thrown, a red ball is thrown down with an initial speed of 10.7 m/s from a height of 26.9 meters above the ground. The force of gravity due to the earth results in the balls each having a constant downward acceleration of 9.81 m/s²

^a. What is the height of the red ball 3.51 seconds after the blue ball is thrown?

b. How long after the blue ball is thrown are the two balls in the air at the same height?

c. Which plot correctly shows the velocity of the two balls as a function of time?

d. Which statement is true about the blue ball after it has reached its maximum height and is falling back down?

The acceleration is positive and it is speeding up

The acceleration is negative and it is speeding up

The acceleration is positive and it is slowing down

The acceleration is negative and it is slowing down

1. What happens when a spinning ice skater draws in her outstretched arms? (a) her angular momentum decreases (b) her angular momentum increases (c) her rotational speed decreases (d) her rotational speed increases

A high-speed lifting mechanism supports a 710 kg object with a steel cable 20.0 m long and 4.00 cm² in cross-sectional area.

(a) Determine the elongation of the cable.
_____ mm
(b) By what additional amount does the cable increase in length if the object is accelerated upward at a rate of 2.6 m/s²?
_____ mm
(c) What is the greatest mass that can be accelerated upward at 2.6 m/s² if the stress in the cable is not to exceed the elastic limit of the cable, 2.2 ✕ 10⁸ Pa?
______ kg

Plaque builds up on the walls of an artery decreasing its diameter from 1.16 cm to 0.66 cm. If the flow speed is 12.5 cm/s before reaching the region of plaque buildup, determine the following.

(a) speed at which blood is traveling through the plaque-constricted region
  cm/s

(b) pressure change within the plaque-constricted region. (Assume the density of blood is 1050 kg/m³. Be sure to include the appropriate sign with your answer.)

Using only the spring gun with the catcher removed, fire the steel ball, making sure the launch velocity is horizontal. Using carbon paper (and something to catch the ball after impact with the floor), determine the ball’s horizontal range and its total vertical displacement (i.e., height at point of firing). Repeat several times in order to obtain statistical data.

Derive a formula in symbolic form for the initial velocity of the projectile in terms of the following three quantities only: the horizontal range (x), the vertical height at launch (y) and the acceleration due to gravity (g). Finally, determine the initial velocity of the steel ball and refer to this velocity as v1 .

Need help deriving the equation (italics). Please show all intermediate derivations too (i.e. how to come to horizontal range (x) = v1*t). Thank you!

Problem 2 – The plates of a parallel-plate capacitor are separated by a distance d = 0.2 m. There is vacuum between the plates. The voltage difference between the plates is 150 V. The capacitance of the plates is 3 μF.

a) (6 pts) Find the magnitude of the electric field between the plates (ignoring edge effects).

b) (12 pts) An alpha particle, which is doubly ionized helium, He2+ (charge = 2e where e is the elementary charge, mass = 4.7 × 10-27 kg) is released from rest at the positively charged plate. Find the speed of the alpha particle as it hits the negatively charged plate.

c) (6 pts) Find the magnitude of the total charge on one of the plates of the capacitor.

d) (6 pts) Find the total energy stored in the capacitor.

Find the expression for the electric field due to a finite size of a line charge in a certain distance. Then derive an expression for the electric field due to an infinite size of a line charge from what you found for the finite charge. Show that you can come up with a same using the Gauss law.

For the some unknown Hamiltonian, we will use a trial wave function ?? = ??₁??₁ + ??₂??₂ . Where ??1 ?????? ??2 are known functions

a. What are the variational parameters of this trial wave function (2 points)?

b. Minimizing the average energy will lead to a secular Determinant.Write down an expression for the Secular Determinant for this system using the following symbols (4 points)

??_11, ??₁₂ = ??_21, ??₂₂, ??_11, ??₁₂ = ??_21, ??_22, E.

c. Write a mathematical expression using ??₁, ??₂, and any necessary operators to define (2 points)

??₂₂=

??₂₁=

Two resistors of exactly the same resistance are hooked in series to a power supply and the total current: I_tot(series) is measured. The same two resistors are then connected to the same power supply in parallel. The total parallel current is related to the total series current through the relationship:

Select one:

a. I_tot(parallel) = 1/4 × I_tot(series)

b. I_tot(parallel) = 1/2 × I_tot(series)

c. I_tot(parallel) = 2 × I_tot(series)

d. I_tot(parallel) = 8 × I_tot(series)

e. I_tot(parallel) = 1/8 × I_tot(series)

f. I_tot(parallel) = 4 × I_tot(series)

g. I_tot(parallel) = I_tot(series)

2. a)

A 0.20 kg hockey puck on a frictionless surface is hit with a stick. The force of the stick on the puck, during the 0.4 seconds while they are in contact, causes the puck to go from rest to 36 meters per second east. What was the magnitude of the average force of the stick on the puck while they were in contact?

b)

A 3-kg block is placed on a frictionless ramp-incline, where it slides from rest, 18 m down along the ramp- incline in 4 seconds.

What was the angle of the incline, with respect to the horizontal?

The position of a particle moving along an x axis is given by x = 12.0t2 - 4.00t3, where x is in meters and t is in seconds. Determine (a) the position, (b) the velocity, and (c) the acceleration of the particle at t = 5.00 s. (d) What is the maximum positive coordinate reached by the particle and (e) at what time is it reached? (f) What is the maximum positive velocity reached by the particle and (g) at what time is it reached? (h) What is the acceleration of the particle at the instant the particle is not moving (other than at t = 0)? (i) Determine the average velocity of the particle between t = 0 and t = 5.00 s.