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A d, c motor consumes 47.25MJ when connected to a 250 V supply for 1 hour 45 minutes. Determine the power rating of the motor and the current taken from the supply

A particle moves in a straight line with an initial

velocity of 30 m/s and constant acceleration 30 m/s2

.

(a) What is its displacement at t = 5 s? (b) What is its

velocity at this same time?


how much work is done on a 5 kg block if it is to be moved on a ramp 30° above the horizontal and height of 1 meter? what are the values of work done by each force?

4. Experiments show that the actual number of muons that reach the base of Mt. Washington is 400.




a. According to your muon clock graph, how much time has elapsed if 400 muons reach the base of Mt. Washington?




b. By what factor do the times you found differ?




c. Suggest an explanation for this difference.


the position of a particle is given by the expression x = 4cos (3πt+πi), where x is in meters and t is in seconds. Calculate the frequency, the period of the motion and the amplitude of motions.


  1. Suggest a way how to use the parallelogram method to add more than two vectors. 
  2. Is it possible to add two vectors having different magnitudes and yield zero resultant? Support your answer. How about instead of only two vectors, we have three vectors to be added? Support your answer.
  3. A given vector has at least one of its components not equal to zero. Is it possible for this vector to have zero resultant? Support your answer. 

Find the unit tangent vector, the unit normal vector, the curvature and the radius of curvature of the circle x= a cos theta, y= a sin theta, z=0 at point with parameter theta.

Calculate the length of the resistor of a circular wire used in a heater element connected to a 240V supply and the heater consumes 8 joules of energy in 0,25 seconds. The resistor element is made of aluminium and it has a uniform cross-sectional area with a diameter of 0,00016 inches.


Hints: 1inch = 25,4 mm, resistivity of aluminium = 2,825 x 10- 6 cm

A 1.00-g cork ball with charge 2.00 *C is

suspended vertically on a 0.500-m-long light string in the

presence of a uniform, downward-directed electric field of

magnitude E ! 1.00 & 105 N/C. If the ball is displaced

slightly from the vertical, it oscillates like a simple pendulum.

(a) Determine the period of this oscillation.

(b) Should gravity be included in the calculation for part

(a)? Explain.


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