Energy Dissipated: Calculate Rate in Joules/sec

[lexia]

Homework Statement

A 2.2-kg measuring instrument is mounted on a balloon by your scientific team for atmospheric studies. At the top of its flight, the instrument is released from the balloon and falls most of the way back to Earth before a parachute opens. You are told that the magnitude of the acceleration at any instant t before the parachute opens is given by a= g exp ^(-t/R), where g is the acceleration due to gravity, e is the base of natural logarithms, and t is a time constant that depends on the shape of the instrument and in this case is 5.68 s. Your primary concern is how much the instrument heats up as it falls, due to air resistance. At what rate, in joules per second, is energy dissipated before the parachute opens? Express your answer as a function of t, where t = 0 at release. (Hint: Integrate the acceleration to calculate speed and displacement.)

Relevant Equations

Kinetic energy = (m(V^2))/2

A 2.2-kg measuring instrument is mounted on a balloon by your scientific team for atmospheric studies. At the top of its flight, the instrument is released from the balloon and falls most of the way back to Earth before a parachute opens. You are told that the magnitude of the acceleration at any instant t before the parachute opens is given by a= g exp ^(-t/R), where g is the acceleration due to gravity, e is the base of natural logarithms, and t is a time constant that depends on the shape of the instrument and in this case is 5.68 s. Your primary concern is how much the instrument heats up as it falls, due to air resistance. At what rate, in joules per second, is energy dissipated before the parachute opens? Express your answer as a function of t, where t = 0 at release. (Hint: Integrate the acceleration to calculate speed and displacement.)

 

[BvU]

Hello @lexia , !

Homework statement: OK
Relevant equation: probably not enough, depdning on what you are going to do to solve the problem
Attempt at solution: Missing ! Instead we get a re-run of the problem statement. The PF requirement is that you post your attempt at solution, so we can help you by guidance and critical questions (as opposed to doing the exercise for you).

See
https://www.physicsforums.com/threads/homework-help-guidelines-for-students-and-helpers.686781/