By exerting a force on the astronaut, the vehicle in which they orbit experiences an equal and opposite force. If the mass of th
1 answer:
Answer:
The astronaut's acceleration is 155.1 times the vehicle's acceleration
Explanation:
These effects due to Newton's third law of action and reaction. Since the forces are equal but in the opposite direction and each acting on a different body. We distance that the Force is F let's calculate the acceleration of the vehicle and the astronaut
Astronaut
F = a₁
Vehicle
F = a₁
F = 555.1 a₂
Let's match the equation
a₁ = 155.1
a₂
a₁ = 155.1 a₂
a₁ / a₂ = 155.1
The astronaut's acceleration is 155.1 times the vehicle's acceleration
We see that even when the acceleration of the vehicle is small, there is a very high multiplicative factor.
One method to improve this situation is that the vehicles fear some small retro-rocket vehicles to reduce their acceleration. This would have a very favorable impact on the astronaut's mission.
Another method would be for the astronaut himself to have the retro-rocket and control his acceleration.
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Answer:
Explanation:
In order to solve this problem, we can do an analysis of the energies involved in the system. Basically the addition of the initial potential energy of the spring and the kinetic energy of the mass should be the same as the addition of the final potential energy of the spring and the kinetic energy of the block. So we get the following equation:
In this case, since the block is moving from rest, the initial kinetic energy is zero. When the block loses contact with the spring, the final potential energy of the spring will be zero, so the equation simplifies to:
The initial potential energy of the spring is given by the equation:
the Kinetic energy of the block is then given by the equation:
so we can now set them both equal to each other, so we get:
This new equation can be simplified if we multiplied both sides of the equation by a 2, so we get:
so now we can solve this for the final velocity, so we get:
