1) A ball is kickedfrom the top of a bridge at a height of 50 m (measured from the surface of the water below) with an initial speed of 30 [m/s] at 22 degrees with respect to the x-axis.

a) Determine the time it takes for the ball to reach its maximum height.

b) Determine the maximum height of the ball (measured from the water below)

c) Determine the speed of the ball at its heighest point on its trajectory

d) Determine the time at which the ball lands/.

e) Where does the ball land? [i.e. Calculate its range]

f) Calculate the velocity of the ball just before it lands[both magnitude and direction]

A 133-kg horizontal platform is a uniform disk of radius 1.51 m and can rotate about the vertical axis through its center. A 66.5-kg person stands on the platform at a distance of 1.07 m from the center and a 27.5-kg dog sits on the platform near the person, 1.39 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis. _____ kg*m^2

A 10.0kg uniform ladder that is 2.50m long is placed against a smooth (frictionless) vertical wall and reaches to a height of 2.10m. The angle between the floor and the ladder is 60°. An 80.0kg bucket of concrete is suspended from the top rung of the ladder, right next to the wall.

a) Draw a free-body diagram of the ladder.

b) What is the magnitude of the friction force, that the floor exerts on the ladder?

c) What is the coefficient of static friction?

With the aid of a diagram, explain how “one way mirror works” and how can be improved.  

How do we get two lines of interference pattern in the experiment of finding the wavelength of monochromatic light using a Lloyd's mirror?

Please explain with the help of a diagram. Also tell why there is a dark fringe at the middle instead of a white fringe like in Young's double slit experiment.

Explain how the balance of attractive and repulsive forces in the nucleus is affected by the contents of the nucleus and the locations of those contents

• Make Excel do all of the necessary calculations
• Report answers on the worksheet
• Label answers as the questions are labelled: a, b, c,…
• Use the probability notation p(A), p(Aand B),… etc
• Submit your spreadsheet in Blackboard Assignment.

2. Due to recent global economic trends, Brazilian currency has lost value compared to the US dollar. This devaluation caused an increase in the price of products in Brazil. The following table summarizes results from a consumer survey that asked about the number of products being purchased and whether the brands purchased had changed (a trend towards purchasing less expensive brands was expected)

What is the probability that a consumer selected at random:

a. purchased fewer products than before?

b. purchased fewer products and changed brands?

c. purchased fewer products or did not change brands?

d. Constance Aguero changed the brands she purchased. What is the probability that she purchased fewer number of products?

e. Robert Nanaim is purchasing fewer products. What is the probability that he has changed brands?

f. Are the events Brands purchased and Number of products purchased independent events?   Show the test.

Pick an appropriate scale and graphically add these vectors, in order: A = 30 m/s at 30o North of East, B = 20 m/s South, C = 50 m/s at 70o West of South, and D = 15 m/s at 10o East of North. Using the same scale, add them in this order: C, B, D, A. Using the same scale, add them in this order: D, C, B, A. Does the order in which you add vectors affect the sum?

how do you draw initial and final states on a PVT surface?

A heat pump is used to heat a house with an indoor temperature of 21 ◦C. Assume the outdoor temperature is -9 ◦C. What is the maximal energy that could be delivered to the house in one second if the work done on the heat pump is 1500 W (1500 J/s)?

(a) 3000 J (b) 3500 J (c) 15.0 kJ (d) 200 J (e) 10.7 kJ

A satellite of mass 2.00 x 10⁴ kg is placed in orbit around Jupiter. The mass of Jupiter is 1.90 x 10²⁷ kg. The distance between the satellite and the centre of Jupiter is 7.24 x 10⁷ m.

1. Determine the force of gravitational attraction (F_g) between the satellite and Jupiter.
2. One of the moons of Jupiter is Io. The distance between the centre of Jupiter and the centre of Io is 4.22 x 10⁸ m. If the force of gravitational attraction between Io and Jupiter is 6.35 x 10²² N, what must be the mass of Io?
3. If the mass of Io were to suddenly double, by what amount would the force of gravitational attraction change? (Do not actually calculate the force of attraction; just determine how much more or less the force of gravity would change.)
4. One of the other moons that orbit Jupiter is Callisto. Its mass, m_C, is 1.08 x 10²³ kg. If the force of gravity between Jupiter and Callisto is 3.87 x 10²¹ N, then what must be the distance between the centre of Jupiter and the centre of Callisto? (This represents the radius of orbit R_o)
5. If the distance between (R_o) Jupiter and Callisto doubles, by what amount would the force of gravitational attraction (F_g) change?

A particle travels at 0.14c. By what percentage will a calculation of its momentum be wrong if you use the classical formula?

Express your answer using two significant figures.

p−prelprel = ? %

B- Repeat for

0.58c.

Express your answer using two significant figures

p−prelprel = ? %

A mass of 0.30 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.48 m)cos[(8 rad/s)t]. Determine the following.

(a) amplitude of oscillation for the oscillating mass. Answer in m

(b) force constant for the spring. Answer in N/m

(c) position of the mass after it has been oscillating for one half a period. Answer in m

(d) position of the mass one-third of a period after it has been released. Answer in m

(e) time it takes the mass to get to the position x = ?0.10 m after it has been released. Answer in s

What is the ratio of cost of a “typical” sonogram vs. MRI for the same region (head, chest, etc.)?

What is sonography— what kind of image does it create and how?

What are two reasons to use a sonography instead of a CT scan?

What are two reasons to use a sonography instead of an MRI? Please give two reasons.

Why are very high frequencies used?

What sort of radiation is involved? Is sonography “perfectly safe”? If not, what are the dangers?

An audio amplfier drives a series RLC circuit consisting of an 8.0 Ω loudspeaker, a C = 42 × 10−10F capacitor, and a L = 60 × 10−6 H inductor. The amplifier output is voltage is 15.0 V at a frequency of f = 106 Hz. The current flowing in the circuit is given by

(a) 0.044 A (b) 1.875 A (c) 0.8 A (d) 12 A (e) None of the above.