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.
A ? = 20.0 [kg] block slides down a ? = 35.0◦ incline as shown, leaving the end with a speed of ?? = 1.10 [m/s]. At the same time, a ? = 70.0 [kg] cart, whose top end is located h = 2.00 [m] below the end of the chute, moves to the left with a speed of ?? = 2.00 [m/s], and catches the block as it falls. Once the cart catches the block, both move with the same speed. You may ignore friction.
A. What is the speed of the block just as it hits the cart?
B. What is the velocity of the block-cart system after the cart catches the block?
C. What's the change in energy of the cart and block immediately before and immediately after the collision?
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