an astronaut, mass 119 kg including spacesuit pushes off from the international space station with a velocity of 2.7 m/s. What is the speed of the Space station in the opposite direction
119*2.7=MassSpacestation*Vspacestation
To determine the speed of the International Space Station (ISS) in the opposite direction, you can use the principle of conservation of momentum.
The momentum of an object is given by the product of its mass and velocity. In this case, let's assume the astronaut's momentum before pushing off is p1 and the ISS's momentum before the push off is p2.
p1 = (mass of astronaut + mass of spacesuit) × velocity of astronaut
p2 = (mass of ISS) × velocity of ISS (which we want to find)
According to the principle of conservation of momentum, the total momentum before the push off should be equal to the total momentum after the push off.
p1 + p2 = 0 (since the astronaut's momentum is in the opposite direction)
Substituting the given values:
(mass of astronaut + mass of spacesuit) × 2.7 m/s + (mass of ISS) × velocity of ISS = 0
The mass of the astronaut including the spacesuit is given as 119 kg.
119 kg × 2.7 m/s + (mass of ISS) × velocity of ISS = 0
To find the mass of the ISS, you would need additional information that is not mentioned in the question. Without knowing the mass of the ISS, it is not possible to calculate the speed of the space station in the opposite direction.