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A certain electrical device has an unknown resistance. You have available a 12 V battery and an ammeter. How would you determine the value of the unknown resistance? Draw the necessary circuit connections.



A certain Resistor is required to dissipate



0.25W. What standard rating should be used?




A body at rest is given an initial uniform acceleration of 8.0m/s for 30s after which the acceleration is reduced to 5.0m/s for the next 20s.Draw the velocity-time graph of the motion using the information given above. Using the graph, calculate the (I) maximum speed attained during the motion. (ii) average retardation as the body is being brought to rest. (iii) total distance travelled during the first 50s. (iv) average speed during the same interval as in (ii).

A body at rest is given an initial uniform acceleration of 8.0m/s for 30s after which the acceleration is reduced to 5.0m/s for the next 20s. Draw the velocity-time graph of the motion using the information given above. Using the graph, calculate the (I) maximum speed attained during the motion. (ii) average retardation as the body is being brought to rest. (iii) total distance travelled during the first 50s. (iv) average speed during the same interval as in (ii).

A body at rest is given an initial uniform acceleration of 8.0m/s for 30s after which the acceleration is reduced to 5.0m/s for the next 20s. Find the average retardation as the body is being brought to rest

What force should be applied so that a 10kg block accelerates at 5.0m/s2 up a 20° inclined plane as it is pulled from the top? The object's coefficient of kinetic friction is 0.10.


Two wires were used to suspend a 50kg object. The first cable is attached at 45° to the ground, while the second cable is attached at 30° to the ground. What is the value of T₁ and T₂?


A 12kg mass is put on a 30° frictionless inclined plane and is coupled to a pulley that is connected to a 5kg hanging mass. What is the system's acceleration?


b) An escalator at an airport has an acceleration function

a       =      [6.33t2 i  - 16.8t3 j] mm s-2

         Determine the escalator’s velocity 1.2 s after a person steps on it.  

                  

c)    If a force vector F = {12i + 13j – 14k}N, what is its unit vector?

 

Q4    a)     Distinguish between systematic errors and random errors.

b)     What is s and its uncertainty, if s = a3bc1/2 / d, where:

         a       =      (3.00  0.150) m

         b      =      (2.30  0.30) s2

         c       =      (49  0.3) kg4

         d      =      (150  10.5) m

3. (i) In the presence of an external uniform magnetic field, the normal Zeeman effect is observed


and the original transition generates into three transitions of frequencies:


ν = ν0 −





eB


4πm


; ν = ν0; ν = ν0 +





eB


4πm


where m is the mass of the electron. Using a diagram, indicate what are allowed normal


Zeeman transitions between d(l = 2) state and p(l = 1) state. [6 marks]


(ii) Find the minimum magnetic field needed for the Zeeman effect to be observed in a


spectral line of 400 nm wavelength when a spectrometer whose resolution is 0.010 nm is


used.

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