On the moon the acceleration due to gravity is 1/6 of Earth's. A ball is thrown straight up on the moon and it takes t=19 s to return to the surface. Part a) what is the numeric value for the magnitude of the free fall acceleration on the moon, gmoon in m/s2? Part b) Write an expression for the maximum height achieved by the ball on the moon, hm, in terms of the gravitational acceleration on earth, g, and the time, t? Part c) What is the numeric value for this height in meters? Part d) What is the difference in the maximum height of the ball when it is thrown on the Moon (hM) and the ball being thrown on Earth (hE) assuming the same time of flight?
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.
On the moon the acceleration due to gravity is 1/6 of Earth's. A ball is thrown straight up on the moon and it takes t=19 s to return to the surface.
Part a) what is the numeric value for the magnitude of the free fall acceleration on the moon, gmoon in m/s2?
Part b) Write an expression for the maximum height achieved by the ball on the moon, hm, in terms of the gravitational acceleration on earth, g, and the time, t?
Part c) What is the numeric value for this height in meters?
Part d) What is the difference in the maximum height of the ball when it is thrown on the Moon (hM) and the ball being thrown on Earth (hE) assuming the same time of flight?
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