Difference between revisions of "F = MA 2020 (Mock) Problems"
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==Problem 2== | ==Problem 2== | ||
− | + | A block of mass <math>M</math> moving at a speed of <math>v1</math> collides with another block of mass <math>m</math> which is originally moving at a speed of <math>v2</math>. The block of mass <math>m</math> had a spring attached to the back of it with spring constant <math>k_s</math>. What is the maximum compression of the spring after the collision? | |
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==Problem 3== | ==Problem 3== |
Revision as of 11:49, 1 August 2020
Problem 1
Initially at rest, masses
and
hang on
ends of a massless rope on a massless, smooth pulley and the mass
hangs
feet above the ground. Once the system is released, what is the speed of the
block when it strikes the ground?
Problem 2
A block of mass moving at a speed of
collides with another block of mass
which is originally moving at a speed of
. The block of mass
had a spring attached to the back of it with spring constant
. What is the maximum compression of the spring after the collision?
Problem 3
A small object of mass is tied to a string of length
and is whirled around a horizontal circle of radius
with a constant speed
, in a conical pendulum. The center of the circle is vertically below the point of support. What is the period of revolution?
Problem 4
blocks are connected by a massless string which slide down an inclined plane having an angle of inclination of
. The masses of the blocks are
and
, and
is above
. Both blocks have a Coefficients of friction
with the inclined plane. What is the tension in the string?
Problem 5
A glass hollow sphere with radius rests on the topmost point of a much larger Woden sphere with radius
and
. The coefficient of kinetic friction between the surfaces is
. The smaller sphere is given a kick down the sphere. At what distance from the top will the smaller sphere lose contact with the larger sphere?
Problem 6
A block of mass initially at rest, is dropped from height
above a spring of spring constant
. What is the maximum compression of the spring?
Problem 7
Initially, A block has a mass of
which slides across surface with velocity
and block
has a mass of
which slides at a speed of
, with
. Block A slides east while Block B slides in west. The surface has coefficient of friction
. How far does do the blocks move together before stopping?