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A test charge produced an electric field, E, at point 3 m away from the charge, The point where the field is half its original values is located at?


Two identical drops of water with radius 0.2cm join together to for a big drop.Calculate the loss or gain in surface energy during the process (surface tension of water=0.72Nm-¹)?


The distance S in meters covered by a particle at time t seconds is given by

S=2t³-3t²-5t.Find

i) It's speed in the 5th second

ii) It's distance in the 3rd second

iii) The time the particle is momentarily at rest

iv) The acceleration at t=5s?


A particle perform simple harmonic motion in a straight line about a center C in the line.When it's distances from C are 5.0 and 13.0cm,it's velocities are 25.0 and 7.0cm/s respectively.Find the period and the amplitude of the oscillation.

Hint: use V=±w(angular velocity)√(A² - y²)

and solve simultaneously.?


An object is projected with a velocity U at an angle R to the horizontal.It just clears two walls of equal height b and at a distance of b apart.

Show that 2U cosR√(U² sin²R - 2bg) = bg?


A flat rectangle is placed in a uniform electric field with a magnitude of 7.8 x 103 N/C. The electric flux through the rectangle when its face is 45º to the field lines is 89.75 Nm2/C. Find the width of the flat rectangle with a length of 9. 45cm.


FREE FALL:



1. If a stone was initially thrown downwards at 4 m/s, how much time will it take to reach the ground? At what velocity will it hit the ground? At what time will it reach a velocity of 12m/s? Where is the stone at v=6 m/s?



2. Resolve practice problem number 1, if the stone was thrown upwards instead. Use the same given values. How high will the stone reach?

A ball is rolled on a flat surface with an initial velocity of 2 m/s. what is the ball's acceleration if it was found 15 meters away from its starting position after 5 seconds? What is the ball's velocity at a distance 20m? how long will the ball travel to achieve a velocity of 20 m/s?

A BODY AT REST IS TO BE ACCELERATED BY A CONSTANT

FORCE SO THAT IT WILL HAVE A VELOCITY OF 800 CM/S

AFTER EXACTLY 8 S. FIND THE FORCE IF THE BODY WEIGHS 490

DYNES.


Evaluate:




HORIZONTAL MOTION




1. The motion of a particle along the x -axis is described by the equation




m v = (3 s2) t + (0.5 m) t2 s2




where x is in meters, and t is in seconds. Determine the following:




a. Position of the particle 3 seconds after starting




b. Displacement from 2 sec to 5 sec c. Average velocity during first 5 seconds d. Velocity at t = 4secs




UARM:




e. Average acceleration during the second 3 seconds




f. Acceleration at t = 5 secs g. Time the particle moves at 20m/s




h. The acceleration and velocity at start of motion 1. A car is moving at uniform acceleration. Its velocity

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