Difference between revisions of "F = MA 2020 (Mock) Problems"
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==Problem 1== | ==Problem 1== | ||
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| + | A wire is connected to <math>3</math> blocks lying adjacent to each other. The masses of the 3 blocks have masses <math>4 kg</math>, <math>9 kg</math>, and <math>M</math>. The tension in the wire while pulling the blocks is <math>120</math> newtons and the blocks move with a constant velocity. What is <math>M</math>? | ||
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| + | ==Problem 2== | ||
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| + | 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== | ||
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| + | A small object of mass <math>m</math> is tied to a string of length <math>l</math> and is whirled around a horizontal circle of radius <math>r</math> with a constant speed <math>v</math>, in a conical pendulum. The center of the circle is vertically below the point of support. What is the period of revolution? | ||
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| + | ==Problem 4== | ||
| + | <math>2</math> blocks are connected by a massless string which slide down an inclined plane having an angle of inclination of <math>40^\circ</math>. The masses of the blocks are <math>M1 = 4 kg</math> and <math>M2 = 2kg</math>, and <math>M1</math> is above <math>M2</math>. Both blocks have a Coefficients of friction <math>0.25</math> with the inclined plane. What is the tension in the string? | ||
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| + | ==Problem 5== | ||
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| + | A glass hollow sphere with radius <math>r</math> rests on the topmost point of a much larger Woden sphere with radius <math>R</math> and <math>R >> r</math>. The coefficient of kinetic friction between the surfaces is <math>\mu_k</math>. 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? | ||
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| + | ==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? | ||
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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? | ||
Latest revision as of 10:52, 1 August 2020
Problem 1
A wire is connected to 
blocks lying adjacent to each other. The masses of the 3 blocks have masses 
, 
, and 
. The tension in the wire while pulling the blocks is 
newtons and the blocks move with a constant velocity. What is ?
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?
