Q1: Using the known values of the mass of the earth and the radius of the earth, calculate the value of g.

The radius of the Earth is 6.37 × 106 m

The mass of the Earth is 5.96 × 1024 kg

G = 6.67259 x 10-11 N m2

/kg2

the universal gravitation constant
.

Q2: What is the change in g if the measuring apparatus is raised in height by 1 meter?​

m g = G * m * M / R^2      force of attraction

g = G * M / R^2

g = 6.67E-11 * 5.96E24 / (6.37E6)^2

g = 6.67 * 5.96 / 6.37^2 * 10^1

g = .98 * 10 = 9.8 m/s^2

Q2.

d g = G M * (-2 R^-3 dR ) = -2 G M / R^3       (very small where dR = 1)

5 w for 1hr = 5x60x60 joules=300x60=3000x6=18,000j as total energy conversion. efficiency of bulb needed for radiant to thermal within 18000

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s