Below I\'ve included an attempt to solve this problem, you can modify it as you

Question

Below I've included an attempt to solve this problem, you can modify it as you like. After a bullet strikes it must go up and then fall back to its initial position.

% Midterm 1 Problem 1

g = 9.8;

m = 0.01;

M=1.5;

v=500;

v1=(m*v)/(m+M);

axis([-5 5 0 10]);

t=0;

while t<=1.0

x1 = 0;

y1 = 4;

x2 = -0.5;

y2 = 3;

p = line([0 x1],[10 y1]);

q = rectangle('Position',[-0.5,3,1,1]);

r = rectangle('Position',[-0.1,1+2*t,0.2,0.4],'Curvature',[1,1],'FaceColor','k');

s = rectangle('Position',[-0.1,1+2*t,0.2,0.2],'FaceColor','k');

pause(0.08);

t = t + 0.08;

delete(p);

delete(q);

delete(r);

delete(s);

end

t=0;

v1=(m*v)/(M+m);

while(v>=0)

v=v1-(g*t);

x1 = 0;

y1 = 4+v1*(t)-(g*(t)^2)/2;

x2 = -0.5;

y2 = 3+v1*(t)-(g*(t)^2)/2;

p = line([0 x1],[10 y1]);

q = rectangle('Position',[-0.5,y2,1,1]);

r = rectangle('Position',[-0.1,y2,0.2,0.4],'Curvature',[1,1],'FaceColor','k');

s = rectangle('Position',[-0.1,y2,0.2,0.2],'FaceColor','k');

pause(0.1);

t = t + 0.1;

if(v>=0)

delete(r);

delete(s);

delete(q);

delete(p);

end

end

h=v1^2/(2*g);

disp(['height climbed by block and bullet is ',num2str(h)]);

A bullet of mass m is fired up with speed of v to a large wooden block of mass M as shown. The bullet is embedded in the block and the system rise up and comes to rest at a distance h measured from the base of the block. Write MATLAB GUI, to perform a simulation and animation of the system for the given m, M, and v. The program should also show the value of h in meters.

Explanation / Answer

1/2 (m+M) v1^2=(m+M)gh after impact

h=(v1^2)/2g

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