Answered

The acceleration due to gravity on planet X is
one-fifth that on the surface of the earth.
If it takes 3.8 s for an object to fall a certain
distance from rest on earth, how long would
it take to fall the same distance on planet X?
Answer in units of s



Answer :

onyebuchinnaji

The time taken for the object to fall the same distance in planet X is determined as 8.5 seconds.

Time of motion of the object planet X

The time taken for the object to fall the same distance on planet X is calculated as follows;

t = √2h/g

where;

  • h is height of fall
  • g is acceleration due to gravity
  • t is time of motion

t² = 2h/g

gt² = 2h

g₁t₁² = g₂t₂²

t₂² = g₁t₁²/g₂

t₂² = (g₁ x 3.8²) / (0.2g₁)

not e one-fifth = 1/5 = 0.2

t₂² = 72.2

t₂ = √72.2

t₂ = 8.5 seconds

Thus, time taken for the object to fall the same distance in planet X is determined as 8.5 seconds.

Learn more about time of motion here: https://brainly.com/question/2364404

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