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29 April, 09:08

Mercury has a mass of 3.3 e 23 kg and a radius of 2.44 e 6 m. Find Mercury's

gravitational field strength. Show your work (formula, rearrangement, work, answer,

unit, sig dig) (4)

12. Venus has a mass of 4.87 e 24 kg and a radius of 6.05 e 6 m. The gravitational field strength at the surface of Venus is what? m/s2

13. A small Styrofoam ball has a 2.26 nC charge (2.26 x 10°C). Find the electric field strength

5.00 cm (0.0500 m) from the ball. Show your work complete with formula, work, unit and

sig digs) (4)

+4
Answers (1)
  1. 29 April, 10:32
    0
    11.) g = 3.695 m/s^2

    12.) g = 8.879 m/s^2

    13.) E = 8127 N/C

    Explanation:

    11.) Given that the

    Mercury mass M = 3.3 * 10^23kg

    Radius r = 2.44 * 10^6 m

    Gravitational constant G = 6.67408 * 10^-11 m3kg-1 s^-2

    Gravitational field strength g can be calculated by using the formula below

    g = GM/r^2

    Substitutes all the parameters into the formula

    g = (6.67408 * 10^-11 * 3.3 * 10^23) / (2.44*10^6) ^2

    g = 2.2*10^13/5.954*10^12

    g = 3.695 m/s^2

    12.) Given that the

    Venus mass M = 4.87*10^24kg

    Radius r = 6.05 * 10^6 m

    Using the same formula for gravitational field strength g

    g = GM/R2

    Substitute all the parameters into the formula

    g = (6.67408 * 10^-11 * 4.87*10^24) / (6.05*10^6) ^2

    g = 3.25*10^14/3.66*10^13

    g = 8.879 m/s^2

    13.) Given that the

    Charge = 2.26 nC = 2.26*10^-9

    Distance d = 0.05m

    Electric field strength E can be calculated by using the formula below

    E = Kq/d^2

    Where

    K = electrostatic constant 8.99 * 10^9 Nm2/C2

    Substitutes all the parameters into the formula

    E = (8.99 * 10^9 * 2.26*10^-9) / 0.05^2

    E = 20.3174/2.5*10^-3

    E = 8126.96 N/C
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