astronauts connect a line between their 3200-kg spaceship and a 7700-kg asteroid. using the ship's engine, they pull on the asteroid with 620 n of force. if the asteroid and the ship are initially 450 meters apart, how long does it take for the ship and asteroid to meet?

Respuesta :

ayune

As the spaceship pull the asteroid with 620 N of force, they will meet after 105.4 seconds.

The gravitational force between the ship and the asteroid is very small compared to the force caused by pulling the asteroid. Hence, we can assume that the only force applied on the asteroid is the pulling force.

Using the Newton 2nd Law of motion:

F = m . a

Where

F = pulling force = 620 N

m = mass of the asteroid = 7700 kg

a = acceleration

Hence,

a = F/ m = 620 / 7700 = 0.081 m/s²

Using the equation of motion:

s = 1/2 . a t²

Where:

s = distance = 450 meters

t = time

Hence,

450 = 1/2 . (0.081)  t²

t² = 11,111.11

t = 105.4 seconds

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