Rocket driven car - Expression for acceleration
Not what you're looking for?
Please see attachment for full problem description.
A rocket-driven car of total mass M loses mass at a constant rate lembda per unit of time at a constant ejection speed V relative to the car. If the total resistance to motion is kv with the speed is v, show that the acceleration of the car along a straight horizontal road is (lembda V-kv) /(M- lambda t) at time t from the start. Hence show that the speed from rest is (lambda V/k)[1-(1- lambda t/M)^(k/lembda)].
Purchase this Solution
Solution Summary
The expression for acceleration for the rocket driven car is determined.
Solution Preview
Please refer to the attachment.
Q4. A rocket-driven car of total mass M loses mass at a constant rate per unit of time at a constant ejection speed V relative to the car. If the total resistance to motion is kv with the speed is v, show that the acceleration of the car along a straight horizontal road is ( V-kv) /(M- t) at time t from the start. Hence show that the speed from rest is ( V/k)[1-(1- t/M)^(k/ )]
Solution : Total initial mass of the car = M
Rate of losing mass = λ
Mass of the car at any time t = M - λt
As mass of the car reduces, its velocity ...
Purchase this Solution
Free BrainMass Quizzes
Basic Physics
This quiz will test your knowledge about basic Physics.
The Moon
Test your knowledge of moon phases and movement.
Variables in Science Experiments
How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.
Introduction to Nanotechnology/Nanomaterials
This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.
Classical Mechanics
This quiz is designed to test and improve your knowledge on Classical Mechanics.