Applications of Integration
Not what you're looking for?
(1) The acceleration due to gravity near the surface of Mars is 3.72ms^-2. A rock is thrown straight up from the surface with an initial velocity of 23ms^-2. How high does it go? (Note: gravitational acceleration acts downwards so is negative).
(2) A 30m uniform chain (mass 25kg) is hanging from the roof of a factory. What work is done to wind the chain up onto a drum?
Purchase this Solution
Solution Summary
We solve two problems in Newtonian mechanics, one involving throwing a ball on Mars and one involving computing the work required to lift a chain.
Solution Preview
(1) By conservation of energy, we have:
1/2 m v_0^2 = mgh,
where m is the mass of the rock, g = 3.72 m/s^2 is the acceleration due to gravity on the surface of Mars, and
v_0 =23 m/s is the initial speed of the rock. Solving for h, we obtain:
h = ...
Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.