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28 June, 08:08

In a region where there is a uniform electric field that is upward and has magnitude 3.80x104 N/C a small object is projected upward with an initial speed of 2.32 m/s The object travels upward a distance of 5.98 cm in 0 200 s. What is the object's charge-to-mass ratio q/m (magnitude and sign) ? Assume g 9.80 m/s and ignore air resistance E3? C/kg q/m

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  1. 28 June, 10:24
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    6.03 x 10^-3 C/Kg

    Explanation:

    E = 3.8 x 10^4 N/C, u = 2.32 m/s, s = 5.98 cm = 0.0598 m, t = 0.2 s, g = 9.8 m/s^2

    Acceleration on object is a.

    Use second equation of motion.

    S = u t + 1/2 a t^2

    0.0598 = 2.32 x 0.2 + 0.5 x a x 0.2 x 0.2

    0.0598 = 4.64 + 0.02 x a

    a = - 229 m/s^2

    Now, F = ma = qE

    q / m = a / E = 229 / (3.8 x 10000)

    q / m = 6.03 x 10^-3 C/Kg
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