A 1.5-kg fireworks shell is fired at an angle of 19∘19∘ from the vertical from a mortar and reaches a height of 39 m39 m. Take the upward direction to be positive for this problem. a.) Neglecting air resistance (a poor assumption, but we will make it for this problem), calculate the the magnitude of the shell's initial velocity, in meters per second, when it leaves the mortar. b.) The mortar is a tube that has length L=0.425m. Calculate the average acceleration of the shell, in meters per second squared, in the tube as it is propelled from rest to the speed found in part (a). c.) What is the average net force, in newtons, acting on the shell in the mortar?
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 1.5-kg fireworks shell is fired at an angle of 19∘19∘ from the vertical from a mortar and reaches a height of 39 m39 m. Take the upward direction to be positive for this problem.
a.) Neglecting air resistance (a poor assumption, but we will make it for this problem), calculate the the magnitude of the shell's initial velocity, in meters per second, when it leaves the mortar.
b.) The mortar is a tube that has length L=0.425m. Calculate the average acceleration of the shell, in meters per second squared, in the tube as it is propelled from rest to the speed found in part (a).
c.) What is the average net force, in newtons, acting on the shell in the mortar?
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