Flag General Physics> A sphere of mass m and radius R rolls wit...
question mark

A sphere of mass m and radius R rolls without sliding on a horizontal surface.It collides with a light spring attached to a wall of stiffness k=10N/m with a kinetic enery E=7J.If the surface AB under spring is smooth,prove that maximum compression of spring is 1m.

Sonal Singh , 11 Years ago
Grade 12
anser 1 Answers
rake

Last Activity: 11 Years ago

Spring potential Es energy is defined as,

Es = ½ kx2

Here k is the spring constant or stiffness constant and x is the compression or elongation.

In equilibrium, EK = Es

kx2

So, compression, x = v[2 EK/k]

Substitute, 7 J for EK and 10 N/m for stiffness constant k in the equation x = v[2 EK/k], we get,

x = v[2 EK/k]

=v[2(7J)/(10 N/m)]

= 1.18 m

Rounding up to one significant figure, the maximum compression of the spring will be 1 m.

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments