I need help with all four of these questions please. E) 2100 N in a direction 26

Question

I need help with all four of these questions please. E) 2100 N in a direction 26.6° north of west ioll 20.8 horth of west 2) The International Space Station has a mass of 1.8 x 105 kg. A 70.0-kg astronaut inside the station pushes off one wall of the station so she accelerates at 1.50 m/s2, What is the magnitude of the acceleration of the space station as the astronaut is pushing off the wall? Give your answer relative to an observer who is space walking and therefore does not accelerate with the space station due to the push. A) 5.8 x 10-4 m/s2 B) 1.50 m/s2 C) 4.7 × 10-4 m/s2 D) zero E) 3.9 × 10-3 m/s2 3) On a horizontal frictionless floor, a worker of weight 0.900 kN pushes horizontally with a force of 0.200 kN on a box weighing 1.80 kN. As a result of this push, which statement could be true? A) The box will not move because the push is less than its weight. B) The worker and box will both have an acceleration of 1.08 m/s2, but in opposite directions. C) The worker and box will both have an acceleration of 2.17 m/s2, but in opposite directions. D) The worker will accelerate at 1.08 m/s2 and the box will accelerate at 2.17 m/s2, but in opposite directions. E) The worker will accelerate at 2.17 m/s2 and the box will accelerate at 1.08 m/s2, but in opposite directions. 4) A series of weights connected by very light cords are given an upward acceleration of 4.00 m/s2 by a pull P, as shown in the figure. A, B, and C are the tensions in the connecting cords. The SMALLEST of the three tensions, A, B, and C, is closest to Pull P

Explanation / Answer

here,

mass of the space station , ms = 1.8 *10^5 kg

mass of astronaut , ma = 70 kg

accelration of her , a = 1.5 m/s^2

let the accelration of station be a'

using conservation of momentum

ms*a' - ma*a = 0

1.8 *10^5 *a' = 70 *1.5

a' = 5.8 * 10^-4 m/s^2

the magnitude of the accelration of the spacestation is A) 5.8 * 10^-4 m/s^2

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