Answer:
G = 6,786 10⁻¹¹ m³ / s² kg
Explanation:
The law of universal gravitation is
F = G m M/ r²
Where G is the gravitational constant, m and M are the masses of the bodies and r is the distance from their centers
Let's use Newton's second law
F = m a
The acceleration is centripetal
a =
We replace
G m M / r² = m
G =
r² / M
Let's replace and calculate
G = 2.7 10⁻³ (3.88 10⁸)² / 5.99 10²⁴
G = 6,786 10⁻¹¹ m³ / s² kg
Let's perform a dimensional analysis
[N m²/kg²] = [kg m/s² m² / kg²] = [m³ / s² kg]
Explanation:
Work is the product of force and distance.
W = F×d
W = (22 N) × (16 m)
W = 352 J
Answer
given,
Mass of the cannon ball = 26 Kg
speed of cannon with muzzle = 962 m/s
angle with horizontal = 19.2°
angle of second ball = 144°
for first ball
................(1)


now equating kinetic energy and potential energy


.................(2)

h = 5106.63 m
total mechanical energy of ball at maximum height
angle = 144° = (90° + 54°)
so θ = 54°


E = 7.75 x 10⁶ J