Answer:
The astronaut is moving at a speed of 0.36m/s
Explanation:
Speed here corresponds to velocity
The astronaut's mass = 48kg
velocity of astronaut = ?
mass of socket = 0.72kg
velocity of socket = 5m/s
mass of the spanner = 0.8kg
velocity of spanner = 8m/s
change in time = 0.05 -0 = 0.05sec
mass of the mallet = 1.2kg
velocity of mallet = 6m/s
change in time = 9.9 -0 = 9.9sec
To find the astronaut velocity, we would calculate the total momentum which is the astronaut.
∑momentum (M) = ∑astronaut momentum
∑M = ∑astronaut M
∑astronaut M = M of socket + M of spanner + M of mallet
momentum = mass × velocity
(mass × velocity)of astronaut = (0.72×5) + (0.8×8) + (1.2×6)
48 × velocity of astronaut= 3.6 + 6.4 + 7.2
48 × velocity of astronaut= 17.2
velocity of astronaut = 17.2/48
velocity of astronaut = 0.36m/s
The astronaut is moving at a speed of 0.36m/s