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a projectile with a mass of 20 grams is launched with a horizontal linear momentum of 15000 g cm/s; after it falls 250 cm vertically what would be its horizontal displacement? assume horizontal velocity remains constant after launch.



Answer :

onyebuchinnaji

The horizontal displacement of the projectile is determined as 5.3 m.

What is the horizontal displacement of the projectile?

The horizontal displacement of the projectile is calculated using the following equation.

X = vt

where;'

  • v is the horizontal velocity if the projectile
  • t is the time of motion

The time of motion of the projectile is calculated as follows;

t = √(2h/g)

where;

  • h is the height of fall of the projectile = 250 cm = 2.5 m
  • g is acceleration due to gravity

t = √(2 x 2.5 / 9.8)

t = 0.71 s

The horizontal velocity of the projectile is calculated as follows;

P = mv

where;

  • P is momentum of the projectile
  • m is mass
  • v is horizontal velocity

v = P/m

v = (15000 g cm/s) / (20 g)

v = 750 cm/s = 7.5 m/s

X = 7.5 x 0.71

X = 5.3 m

Learn more about horizontal distance here: https://brainly.com/question/24784992

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