Answer:
472 N
Step-by-step explanation:
You want the force exerted by a rope accelerating a 40 kg crate upward at 2 m/s².
Net force
The net force on the crate must be ...
F = ma
F = (40 kg)(2 m/s²) = 80 N . . . . upward
Downward force
The downward force due to gravity is ...
F = ma
F = (40 kg)(9.8 m/s²) = 392 N
Tension
Then the force exerted by the rope must be ...
tension - downward force = net force
tension = net force + downward force = (80 N) + (392 N)
tension = 472 N
The force exerted by the rope on the crate is 472 N, upward.
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