F = MA 2020 (Mock) Problems
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?
