1 Terminal Velocity A piece of styrofoam is dropped from a height of 2 meters. After falling for half a meter it reaches terminal velocity and 5 seconds later it reaches the ground. Before reaching its terminal velocity, the piece of styrofoam has an acceleration of a = g - bv. Problem 1.1. What is the value of b? Problem 1.2. What is the acceleration at time t = 0 seconds? Problem 1.3. What is the acceleration when v = 0.150 m/s? 2 Circular Motion Tarzan (85 Kg) swings on a vine that is 20.0m long to try and cross a river. His speed at the bottom of the swing is 8.00 m/s. The vine has a breaking strength of 1000 N. Problem 2.1. Draw a free-body diagram of the problem. Problem 2.2. Does Tarzan make it across the river without the vine breaking? 3 Friction and Work A force with a magnitude of 10 N is applied, at a 30 degree angle from a horizontal surface, on a 10 Kg block. This force makes the block move 4 m along that surface, which has a kinetic coefficient of friction μk 0.02. Problem 3.1. What is the work done by the force on the block? Problem 3.2. What is the work done by the frictional force on the block? Problem 3.3. What is the net work done on the block?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
1 Terminal Velocity
A piece of styrofoam is dropped from a height of 2 meters. After falling for half a meter it reaches terminal velocity and 5 seconds later it reaches the ground. Before reaching its terminal velocity, the piece of styrofoam has an acceleration of a = g − bv.
Problem 1.1. What is the value of b?
Problem 1.2. What is the acceleration at time t = 0 seconds? Problem 1.3. What is the acceleration when v = 0.150 m/s?
2 Circular Motion
Tarzan (85 Kg) swings on a vine that is 20.0m long to try and cross a river. His speed at the bottom of the swing is 8.00 m/s. The vine has a breaking strength of 1000 N.
Problem 2.1. Draw a free-body diagram of the problem.
Problem 2.2. Does Tarzan make it across the river without the vine breaking?
3 Friction and Work
A force with a magnitude of 10 N is applied, at a 30 degree angle from a horizontal surface, on a 10 Kg block. This force makes the block move 4 m along that surface, which has a kinetic coefficient of friction μk = 0.02.
Problem 3.1. What is the work done by the force on the block? Problem 3.2. What is the work done by the frictional force on the block? Problem 3.3. What is the net work done on the block?
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