Five different experiments are carried out. In each experiment, a block is attac
ID: 1456352 • Letter: F
Question
Five different experiments are carried out. In each experiment, a block is attached to a horizontal spring. The block is pulled back a certain distance and released. The block oscillates back and forth on a frictionless surface. Rank the amplitude of oscillation for each of the following situations. (Rank the smallest amplitude as 1). A block of mass M is attached to a spring with a spring constant k, pulled back a distance (1/2)d, and released. A block of mass 2M is attached to a spring with a spring constant k, pulled back a distance d, and released. A block of mass M is attached to a spring with a spring constant 2k, pulled back a distance (1/2)d, and released. A block of mass M is attached to a spring with a spring constant k, pulled back a distance d, and released. A block of mass M is attached to a spring with a spring constant 2k, pulled back a distance d, and released.
Explanation / Answer
Expression for force is
F ( force ) = k (spring constant ) X s ( extension). The maximum force occurs when the spring is at maximum extension.
In this case, extesion is uneffected by mass,
( 1) Force = F =(1/2)kd
(2) F = kd
( 3) F = ( 2 k ) (1/2)d = kd
(4 ) F = kd
(5 ) F = 2 kd
As force is proportional to amplitude, the ranking is ( smllest first )
( 1 ) < ( 2 ) = ( 3 ) = ( 4 ) < ( 5 )
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.