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)

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