Answer:
Artificial weight = 70.27 N = 15.80 lbs
Explanation:
The earth weight of the astronaut = 160 lbs = 711.72 N
The weight on earth = m × g(earth)
g(earth) = 9.8 m/s²
711.72 = m × 9.8
m = (711.72/9.8)
m = 72.62 kg
But at the space station, the space station rotates once every 70 s to create an artificial radial acceleration that creates a radial gravity pulling the objects on the space station towards the centre of that space station.
radial acceleration = α = (v²/r)
v = rw,
α = (rw)²/r
α = rw²
r = radius of rotation = 120 m
w = angular velocity = (2π/70) (it completes 1 rotation, 2π radians, in 70 s)
w = 0.0898 rad/s
α = 120 × (0.0898²)
α = 0.968 m/s²
Artificial weight = (mass of astronaut) × (Radial acceleration) = 72.62 × 0.968
Artificial weight = 70.27 N = 15.80 lbs
Hope this Helps!!!
Work = (force) x (distance
28.4 joules = (force) x (4 meters)
Divide each side by (4 meters) :
Force = (28.4 joules) / (4 meters)
Force = 7.1 Newtons
Answer:
displacement (x) = 0.003798 meters
Explanation:
from the fact that the string is hung vertically we can deduce that:
Total force acting on the mass = Fs (by spring) + Fg (by gravity)
<em>where</em>
Fs = k*x , x is the displacement..
Fg = m*g
then:
Ftot = m*a, <em>but a = 0 m/(s^2) because the mass becames stationary.</em>
Ftot = 0
Fs + Fg = 0
<em>by direction, take down as negative.</em>
Fs - Fg = 0
k*x = m*g
x = m*g/k = [(0.400)(9.8)]/(10.32)
= 0.3798 meters
