00:01
Hello, here we have to solve the following problem.
00:03
Mass of 1 kilogram which is a book is connected by the spring to the coffee cup.
00:11
Let's call this book as m1 and the copy cup coffee cup is m2.
00:21
Angle is 20 degree and the book is given the initial speed of 3 meters per second.
00:32
Co -efficient of static friction is 0 .500 or 0 .50.
00:37
Coefficient of kinetic friction is 0 .20.
00:40
First, we have to determine how far the book slides, so we have to calculate x.
00:47
Let's make this cache.
00:50
Here the book experiences gravity downwards, kinetic friction down the incline, tension t, and normal reaction perpendicular.
01:07
Meanwhile, the coffee cup experiences gravity downwards tension t up and acceleration is directed downwards so therefore here for the book m1g sine alpha plus friction force which is mc g m1k and 1k m1g cosine alpha plus tension equals to m1a and for the coffee cup m2g minus tension is m2a.
01:54
Now let's calculate this acceleration.
02:20
Now we can complete this calculation.
03:07
This acceleration is 6 .73 meters per square second.
03:13
Now we can calculate x...