Final Exam 1.What is the energy to bring three charges from infinite to the foll

Question

Final Exam 1.What is the energy to bring three charges from infinite to the following configuration: At the center we put a negative charge Q11C. The other two charge are QuC and are located at 0.1, 0,0] 2 A ladder makes an angle of 45 degrees with a wall. What is the ratio between the weight of the ladder and the reaction force of the wall, in the a direction 3. In a movie theater the picture on the screen has a height of 1.m The screen is at the distance of 10m from the projector. The height on the film is 1cm. Find the location of the film relative to the converging lens lens? What is the focal length? 4. Rocket of 100 kg is launched with a velocity of 700. What is the height above the earth that the rocket reaches. You must use for the lunching position the potential energy which is determined by the radius of the earth let of 10 gram and velocity of 1000 collides with a stationary locomotive of 5. A bul 1000kg what is the velocity of the bullet after the collision. (The collision is elastic,) 6.Two objects of 1kg and 2kg are connected by a cord. What is the force needed to apply on one of the object in order for the objects to have an acceleration of 1 (Ignore friction.)

Explanation / Answer

5)Let the velocity of bullet after collision be v1 and velocity of locomotive ve v2

by the conservation of momentum we have

m1u1 + m2u2 = (m1v1 + m2v2

0.01*1000 + 1000*0 = 0.01v1 + 1000v2

0.01v1 + 1000v2 = 10 ----(1)

velocity of approach = velocity of recess

v2 - v1 = u1 - u2

v2 - v1 = 1000 - 0

v2 - v1 = 1000 -----(2)

multiply the (2) by 0.01 and adding we have

v2 = 0.0199

v1 = v2 - 1000 = 0.0199 - 1000 = -999.98 m/s

6) F = m*a

(m1 + m2)*a

= (1+2)*1 = 3N

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