Complete the following exercises. (Assume g = 9.80 m/s2.) (a) A small block is released from rest at a height of 3.74 m above the ground and moves downward in free fall. (i) How long does it take the block to reach the ground? Units are required for this answer. (ii) What is the speed of the block just before it strikes the ground? Units are required for this answer.
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.
Complete the following exercises. (Assume g = 9.80 m/s2.)
Units are required for this answer.
(ii) What is the speed of the block just before it strikes the ground?
Units are required for this answer.
(b) A frictionless incline is 5.00 m long (the distance from the top of the incline to the bottom, measured along the incline). The vertical distance from the top of the incline to the bottom is 3.74 m. A small block is released from rest at the top of the incline and slides down the incline.
Units are required for this answer.
(ii) What is the speed of the block just before it strikes the ground?
(c) How do the answers in part (b) compare to the answers in part (a)? (Select all that apply. Speeds are considered approximately equal if they are within 5% of each other.)
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