physics
posted by dam on .
A person whose weight is 507 N is being pulled up vertically by a rope from the bottom of a cave that is 30.1 m deep. The maximum tension that the rope can withstand without breaking is 590 N. What is the shortest time, starting from rest, in which the person can be brought out of the cave?

W= mg=>
m=W/g = 507 /9.8 = 51.7 kg.
ma=Tmg
a= T/m  g =
=590/51.7  9.8 = 1.6 m/s²
h=at²/2
t= sqrt(2h/a) =
=sqrt(2•30.1/1.6) =6.13 s.
Respond to this Question
Similar Questions

physics
a rope can withstand a maximum tension force of 450n before breaking if we use the rope to pull a 32kg bucket of water from a well what is the maximum acceleration upward we can use without breaking the rope 
physics
A person swings a 0.33 kg tether ball tied to a 5.4 m rope in an approximately horizontal circle. (a) If the maximum tension the rope can withstand before breaking is 11 N, what is the maximum angular speed of the ball? 
Physics
A person swings a 0.33 kg tether ball tied to a 5.4 m rope in an approximately horizontal circle. (a) If the maximum tension the rope can withstand before breaking is 11 N, what is the maximum angular speed of the ball? 
Physics
A rope can withstand a maximum tension of 75 N before snapping . What maximum speed can you spin a 6.0 kg rock in a vertical circle of radius 1.5 m without breaking the rope? 
physics
An athlete swings a 4.30 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.790 m at an angular speed of 0.590 rev/s. (a) What is the tangential speed of the ball? 
physics
A mass hangs on the end of a massless rope. The pendulum is held horizontal and released from rest. When the mass reaches the bottom of its path it is moving at a speed v = 2.3 m/s and the tension in the rope is T = 22.4 N. 1. What … 
Physics
A person of mass 50.0 kg is at the bottom of a cave. The cave has a depth of 32.5 meters and the person is to be pulled out of the cave vertically by a rope, starting from rest. What is the shortest amount of time that this could take … 
Physics
Matthew is spelunking when he loses his rope. John lowers a rope down to him, a distance of 40m. If Matthew has a mass of 50kg, and the rope can withstand a maximum force of 547N without breaking, what is the minimum amount of time … 
College Physics
A rope can withstand a maximum tension force of 500N before breaking. If we use the rope to pull a 24 kg bucket of water from a well, what is the maximum acceleration upward we can use without breaking the rope? 
Physics Circular Motion
A 0.75kg ball is attached to a 1.0m rope and whirled in a vertical circle. The rope will break when the tension exceeds 450 N. What is the maximum speed the ball can have at the bottom of the circle without breaking the rope?