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A 0.0450-π‘˜π‘” golf ball initially at rest is given a speed of 25.0 π‘š/𝑠 when a club strikes it. If the club and ball are in contact for 2.00 π‘šπ‘ , what average force acts on the ball? Is the effect of the ball’s weight during the time of contact significant? Why or why not?


determine the magnitude of an electric field at r=0.01m from the center of non-conducting sphere with a radius R=0.001 possessing a charge of 7C which evenly distributed throughout the sphere. (r>R).


solve for the electric flux that acts on a uniform electric field with a magnitude of 8000N/C approximately passes through a 10m^2 flat surface area


A molecules of oxygen possess a charges of -2C and 2C separated from


a distance of 0.2m. Calculate the dipole moment in this condition.

two charges one of magnitude 3 micro coulomb and the other of magnitude 5 micro coulomb if the force between them is 20 n ?


negative charge of -200 micro coulomb and a positive charge of 800 micro coulomb are separated by a distance of 30 centimeters. What is the force between the two charges?



solve for the maximum torque within uniform electric field of 6 x 10^4N/C experiences a dipole moment of 5 x 10^-14Cm.


One charge of 2C is 1.5meters away from a -3C charge. Determine the force exerted on each other.

Β 

A -6 micro coulomb charge exerts an attractive force of 65N on a second charge that is 5cm away.What is the magnitude of the second charge?


Question 2



The budgeted and standard data for productivity include the following



Direct labour



Ten employees work for 45 hour a week. The standard rate of pay is ksh 4 per hour. Output per hour is 40 kg of the product.



Direct material



Material quantity kg price per kg



X 60 2.00



Y 40 1.00



Z 100 1.40



From this standard matrix 180 kg of product is expected



Actual data for first week in April were as follows



Hours worked 45



Rate of pay ksh 4 per hour



Overhead incurred ksh 5400



Output 1980 kg



Production and consumption of materials were as follows:



Material Quantity (kg)



X 700



Y 440



Z 1120




Required



(a) Calculate the following direct material variance for each material (10mks)



i. Total



ii. Price



iii. Usage



iv. mix



(b) Calculate the direct labor efficiency variance (10mks)

Sphere A and B have the same initial positive charge q0. The magnitude of the repulsive electric force between the two spheres is 14.1 N when separated by a distance of 0.03 m. (a) Find the initial charge q0. (b) The sphere A is there times that of sphere B.

David who seeks to a certain amount of money today such that after 4 years he can withdraw $3,000. The applicable discount rate is 5% to be compounded half early. Calculate the amount that David is required to deposit today.


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