on planet tehar, the free fall acceleration is the same as that on earth, but th
ID: 2050904 • Letter: O
Question
on planet tehar, the free fall acceleration is the same as that on earth, but there is also a strong downward electric field that is uniform close to the planet's surface. a2.00-kg ball having a charge of 5.00 micro C is thrown upward at a speed of 20.1 m/s. it hits the ground after an interval of 4.10 s. What is the potential difference between the starting point and the top point of the trajectory?Explanation / Answer
After reaching initial point projrction Acceleration(a) = 2 v / t = ( 2 * 20.1) / 4.10 = 9.8048 m/s2 --------------(1) Net force downward on the plant is : F = Eq + mg HenceAcceleration (a) = ( Eq + mg) /m ----------------(2) From equation (1) and (2) ; ( Eq + mg) / m = 9.8048 ==> Eq /m = 9.8048 - 9.8 = 0.0048 ==> E = 0.0048 * m / q = (0.0048 * 2.0) / (5.0 *10-6 ) = 1935.32 N/C We know that : Potentialdifference is : V = E * (? Y) -----------(3) Here ? Y = v t - 0.5 at2 ; Here t = 5.01/2 = 2.505 s = (20.1 * 2.505) - 0.5 * 9.8048 * (2.505)2 = 19.5878 m Hence V = E * (? Y) = 1935.32 N /C * 19.5878 m = ------------- V
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