A man fell from the top of a building of height 30 m with a initial velocity of 10 m/s . He his weight on the moon was 60Kg i) Calculate final Velocity ii)Calculate time taken. iv)Calculate his mass. v)Calculate his weight on earth.

i) To calculate the final velocity, we can use the equation of motion:

v^2 = u^2 + 2as

where v is the final velocity, u is the initial velocity, a is the acceleration (in this case, due to gravity), and s is the distance fallen.

Given: u = 10 m/s a = 9.8 m/s^2 (acceleration due to gravity) s = 30 m

Plugging in the values, we have:

v^2 = (10 m/s)^2 + 2 * 9.8 m/s^2 * 30 m

Simplifying the equation:

v^2 = 100 m^2/s^2 + 588 m^2/s^2

v^2 = 688 m^2/s^2

Taking the square root of both sides:

v = √688 m/s

Therefore, the final velocity is approximately 26.23 m/s.

ii) To calculate the time taken, we can use the equation of motion:

s = ut + (1/2)at^2

where s is the distance fallen, u is the initial velocity, a is the acceleration (in this case, due to gravity), and t is the time taken.

Given: s = 30 m u = 10 m/s a = 9.8 m/s^2

Plugging in the values, we have:

30 m = 10 m/s * t + (1/2) * 9.8 m/s^2 * t^2

Simplifying the equation:

30 m = 10t + 4.9t^2

Rearranging the equation:

4.9t^2 + 10t - 30 = 0

Using the quadratic formula:

t = (-10 ± √(10^2 - 4 * 4.9 * -30)) / (2 * 4.9)

Simplifying the equation:

t = (-10 ± √(100 + 588)) / 9.8

t = (-10 ± √688) / 9.8

Therefore, the time taken is approximately 2.04 seconds.

iii) To calculate the mass of the man, we need to use the formula:

Weight = mass * acceleration due to gravity

Given: Weight on the moon = 60 kg

Using the formula, we have:

60 kg = mass * 1.6 m/s^2 (acceleration due to gravity on the moon)

Simplifying the equation:

mass = 60 kg / 1.6 m/s^2

mass = 37.5 kg

Therefore, the mass of the man is 37.5 kg.

iv) To calculate the weight of the man on Earth, we can use the formula:

Weight = mass * acceleration due to gravity

Given: mass = 37.5 kg

Using the formula, we have:

Weight on Earth = 37.5 kg * 9.8 m/s^2 (acceleration due to gravity on Earth)

Weight on Earth = 367.5 N

Therefore, the weight of the man on Earth is 367.5 Newtons.