Acave rescue team lifts an injured spelunker directly upward and out of a sinkhole by means of a motor-driven cable. the lift is performed in three stages, each requiring a vertical distance of 11.0 m: (a) the initially stationary spelunker is accelerated to a speed of 2.40 m/s; (b) he is then lifted at the constant speed of 2.40 m/s; (c) finally he is decelerated to zero speed. how much work is done on the 84.0 kg rescue by the force lifting him during each stage?

(a) 9305 J

Let's start by finding the acceleration of the spelunker, through the following equation:

where

v = 2.40 m/s is the final velocity

u = 0 is the initial velocity

a is the acceleration

d = 11.0 m is the distance covered

Solving for a,

Now we can find the force lifting the spelunker. The equation for Newton's second law applied to the spelunker is:

where

F is the lifting force

m = 84.0 kg is the mass of the spelunker

g = 9.81 m/s^2 is the acceleration due to gravity

a = 0.26 m/s^2 is the acceleration

Solving for F,

And now we can finally find the work done on the spelunker by the lifting force F:

(b) 9064 J

In this case, the speed is constant, so the acceleration is zero. So Newton's second Law becomes

From which we find

And so the work done is

(c) 8824 J

The acceleration of the spelunker here is given by

where

v = 0 is the final velocity

u = 2.40 m/s is the initial velocity

a is the acceleration

d = 11.0 m is the distance covered

Solving for a,

Newton's second law applied to the spelunker is:

where

F is the lifting force

m = 84.0 kg is the mass of the spelunker

g = 9.81 m/s^2 is the acceleration due to gravity

a = -0.26 m/s^2 is the acceleration

Solving for F,

And now we can finally find the work done on the spelunker by the lifting force F:

the answer is neither ball has a charge.

because if they were both positively charged, they will repel each other.

if they were positively and negatively charged, they will seek.

increasing transnational kinetic energy. because the transnational kinetic energy formula consists of only two variables, mass and velocity, increasing one of those properties is the only way to increase an object's transnational kinetic energy. increases to mass and velocity, however, do not have the same impact.