A object initially at rest at the origin is subjected to the time-varying force shown in the figure. What is the object’s velocity at?
The velocity at
Mass (m) = time (t) = , force vs. time graph :
For velocity at a given time :
Area under the curve = Area of the triangle.
Area between the is zero,
The object's velocity at
A block of mass is at rest at the origin at . It is pushed with constant force from to across a horizontal surface whose coefficient of kinetic friction is . That is, the coefficient of friction decreases from at to zero at .
a. Use what you've learned in calculus to prove that
b. Find an expression for the block's speed as it reaches position .
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