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A sniper with a mass of 7 kg fires a 100 g bullet at a speed of 450 m/s. Solve for the recoil velocity of the sniper.

a.    You came across a picture of three coplanar forces acting at a point, P. The first force is 200N and acting at 20° to the horizontal; the second 400N and acting at 165° to the horizontal; the third 500N acting at 250° to the horizontal. Draw what you saw in the picture using an appropriate scale. Use protractor for the angles.                                                                              

                                                                                                      AP [5 Marks]

b.   With the information in a); determine by resolution of forces:

i.      The magnitude of the resultant of the three coplanar Forces.

ii. The direction of the resultant of the three coplanar forces.


A blast pump is pumping 5000 tons of water in one hour. A leakage occurs in the supply pipe and stream of water is coming out in a vertical direction with an initial velocity of 45 m/s and takes 3.5 seconds to reach its maximum height.



(a) Calculate the maximum height that water jet will reach.



(b) Draw the velocity - time graph for vertical motion of the water jet and with the help of graph justify the answer of part (a).



(c) With what velocity the water will touch the ground when it returns back om its maximum height?

An intensity of a sound wave is measured to be 1.87×104 W/m2 at position A, 120 m away from the source of this sound. A worker at position B, 308 m away from the source hears the sound.

What is the energy of the sound wave at position B, if that sound lasts 5 minutes?

Select one:

1.0×1012 J

 1.69×1010 J 

 2.8×108 J

 8.4×109 J


L (meters) mass Time for 30 oscillations Period T (seconds) T² g = 39.44L/T2













Average value of g = __________





QUESTIONS:





1) From your data what effect does changing the mass have on the period (for a





given value of the length L)?





2) What role, if any, does air resistance have on your results? Explain your





reasoning.





3) Would you conclude that Galileo was correct in his observation that the





period of a simple pendulum depends only on the length of the pendulum?





4) On the moon, the acceleration due to gravity is one-sixth that of earth. That is





gmoon = gearth /6 = (9.8 m/s2





)/6 = 1.63 m/s2





.





What effect, if any, would this have on the period of a pendulum of length L?





How would the period of this pendulum differ from an equivalent one on earth.

A car is moving with a velocity of 2 m/s and accelerates at 1.2 m/s^2, covering a distance of 45 m. How long did the car accelerate?


A ball was thrown with a velocity of 55 ft/s upwards. If caught at the same level as it was thrown, how high did the ball rise? And how long was the ball in the air?


A bullet of m=8.00g is fired into a block of mass M=240g that is initially at rest at the edge of a table of height h=1.00m.The bullet remains in the block,and after the impact the block lands d=1.80 m from the bottom of the table.Determine the initial speed of the bullet.

An object with mass 15.5kg and another one with mass 12.0kg are suspended, joined by a cord that passes over a pulley with a radius of 10.0cm and a mass of 3.00kg.The cord has a negligible mass and does not slip on the pulley.The pulley rotates on its axis without friction.The objects start from rest 3.00 m apart.Treating the pulley as a uniform disk, determine the speeds of the two objects as they pass each other.

A vessel having a volume of 5 m3 contains 0.05 m3 of saturated liquid water and 4.95 m3 of saturated water vapour at 0.1 MPa. Heat is transferred until the vessel is filled with saturated vapor.

Determine the heat transfer for this process


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