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Answer:
4. If a ball travels vertically upwards with the initial velocity u, the maximum height h would be given by the formula:
v^2 = (u^2) + (2*(-g)*h)
v^2 = (u^2) - 2gh
h = (u2 - v2)/2g
where
h is distance in metres,
v is the final velocity in metres per second,
u is the initial velocity in metres per second,
g is acceleration due to gravity, 9.8m/s^2.
The acceleration due to gravity is negative in the formula because as the ball travels upwards, it decelerates, causing reduction in the speed of the ball until it hits 0m/s, the final velocity.
5.In a uniform gravitational field, the gravitational force exerted on an object (its weight) is directly proportional to its mass.
11.
F=Gm1m2r2
where,
F is the gravitational force between bodies
m1 is the mass of one of the objects
m2 is the mass of the second object
r is the distance between the centres of two objects
G is the universal gravitational constant
The constant proportionality (G) in the above equation is known as the universal gravitation constant. The precise value of G was experimentally determined by Henry Cavendish in the century after Newton’s death. The value of G is found to be G = 6.673 x 10-11 N m2/kg2
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