ECTION 3 Let\'s do some thought experiments on v own different resistance arious

Question

ECTION 3 Let's do some thought experiments on v own different resistance arious value for g (the acceleration due to gravity). In each exa unspecified alien planets, each of which has its air mple, we assume no (a) On planet #1, the ground Answer: you drop a stone from re st, 80 m above t st, 80 m above the ground, and the stone hits seconds later, what is the value of g for planet #1? m/s launch a projectile straight up from the ground at a speed of 30 m/s. 293.0m before falling back to the (b) On planet #2, you The projectile reaches a maximum height of K. 293m before ground, what is the value of g for planet #2? Answer: m/s m/s2 On planet #3, you fire a projectile horizontally from the edge of a vertical cliff 80 m above the ground, with an initial speed of L 6L0m/s. The projectile la M #3? (c) n intial speed of Lm/s. The projectile lands 257.0 m away from the base of the ciff. Answer: What is the value of g for planet m away from the base of the cliff. m/s What is the value of g for planet

Explanation / Answer

a)

h = 80 m

t = 6.1 s

let the value of acceleration is g

h = 0.5 * g * t^2

80 = 0.5 * g * 6.1^2

g = 4.3 m/s^2

the value of g is 4.3 m/s^2

b)

h = 293 m

u = 30 m/s

for g

as h = u^2/(2 * g)

293 = 30^2/(2 * g)

g = 1.53 m/s^2

the value of g is 1.53 m/s^2

c)

h = 80 m

u = 61 m/s

range , R = 257 m

time of flight is t

t = R/u

t = 257/61

t = 4.213 s

for the value of g

h = 0.5 * g * t^2

80 = 0.5 * g * 4.213^2

g = 9.01 m/s^2

the value of g will be 9.01 m/s^2

d)

theta = 30 degree

u = 40 m/s

Range = 410 m

as R = u^2 * sin(2 *theta)/g

410 = 40^2 * sin(2 * 30)/g

g = 3.38 m/s^2

the value of g is 3.38 m/s^2

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