Aspace walking astronaut has become detached from her spaceship. she’s floating in space while holding nothing but a wrench. she is thinking about how to get back to the spaceship, which she can see 50m from her current location. what can she do to get back to the spaceship? explain your answer using newton's laws of motion.

The astronaut should throw the wrench in the direction opposite to the spaceship.

Explanation:

The basis for the answer is provided by the Newton's First Law of motion and, by implication, the Conservation of Momentum. In an inertial system, the sum of momenta of its parts remains constant. The astronaut with the wrench (inertial system) is assumed to be at a fixed position relative to the spaceship ("floating"). The astronaut needs to gain a positive velocity (and momentum) pointing to the ship. Momentum = (mass)x(velocity). By ejecting the wrench with a velocity (and momentum) in the direction away from the ship, the astronaut induces the desired momentum counteracting that of the wrench. The resulting speed depends on the mass of the astronaut as well as the mass and speed of the wrench, however, rest assured the astronaut will make it back to the ship at some point.

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: