Difference between revisions of "F = MA 2020 (Mock) Problems"
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==Problem 6== | ==Problem 6== | ||
A block of mass <math>m</math> initially at rest, is dropped from height <math>h</math> above a spring of spring constant <math>k</math>. What is the maximum compression of the spring? | A block of mass <math>m</math> initially at rest, is dropped from height <math>h</math> above a spring of spring constant <math>k</math>. What is the maximum compression of the spring? | ||
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| + | ==Problem 7== | ||
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| + | Initially, A block <math>A</math> has a mass of <math>14 kg</math> which slides across surface with velocity <math>u</math> and block <math>B</math> has a mass of <math>16 kg</math> which slides at a speed of <math>v</math>, with <math>u > v</math>. Block A slides east while Block B slides in west. The surface has coefficient of friction <math>\mu</math>. How far does do the blocks move together before stopping? | ||
Revision as of 16:42, 8 July 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
An equilateral triangle has a side length of 
. How high above the base of the triangle the center of mass of the triangle located?
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
An massless object is thrown upwards in a projectile path, at an angle of 
with a velocity . What is the equation of the trajectory of the object’s path? (Write as simplified as possible).
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?
