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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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treedbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /3845/CH8
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-rw-r--r--3845/CH8/EX8.1/Ex8_1.sce11
-rw-r--r--3845/CH8/EX8.2/Ex8_2.sce11
-rw-r--r--3845/CH8/EX8.3/Ex8_3.sce9
-rw-r--r--3845/CH8/EX8.4/Ex8_4.sce22
-rw-r--r--3845/CH8/EX8.5/Ex8_5.sce12
-rw-r--r--3845/CH8/EX8.6/Ex8_6.sce15
-rw-r--r--3845/CH8/EX8.7/Ex8_7.sce16
-rw-r--r--3845/CH8/EX8.8/Ex8_8.sce9
8 files changed, 105 insertions, 0 deletions
diff --git a/3845/CH8/EX8.1/Ex8_1.sce b/3845/CH8/EX8.1/Ex8_1.sce
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+//Example 8.1
+m=110;//Mass of football player (kg)
+v=8;//Speed (m/s)
+p_player=m*v;//Momentum (kg.m/s)
+printf('a.Momentum of the player = %0.1f kg.m/s',p_player)
+m_ball=0.410;//Mass of the ball (kg)
+v_ball=25;//Velocity of ball (m/s)
+p_ball=m_ball*v_ball;//Momentum of ball (kg.m/s)
+printf('\nb.Ratio of momentum of the player to that of the ball = %0.1f',p_player/p_ball)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH8/EX8.2/Ex8_2.sce b/3845/CH8/EX8.2/Ex8_2.sce
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index 000000000..a324a1744
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+++ b/3845/CH8/EX8.2/Ex8_2.sce
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+//Example 8.2
+m=0.057;//Mass of ball (kg)
+v_i=0;//Initial velocity (m/s)
+v_f=58;//Final velocity (m/s)
+delta_p=m*(v_f-v_i);//Change in momentum (kg.m/s)
+delta_t=5*10^-3;//Duration of contact of ball with racquet (s)
+F_net=delta_p/delta_t;//Net external force (N)
+printf('Average force exerted on the ball by the racquet = %0.1f N',F_net)
+//Answer varies due to round off error
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH8/EX8.3/Ex8_3.sce b/3845/CH8/EX8.3/Ex8_3.sce
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index 000000000..d93ee4a53
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+++ b/3845/CH8/EX8.3/Ex8_3.sce
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+//Example 8.3
+printf('a.Solution is beyond the scope of numerical computation');
+//For (b), the ratio of magnitudes of impulse imparted to the balls = (2*m*u)/(2*m*u*cosd(30))
+theta=30;//Angle (deg)
+r=1/cosd(theta);
+printf('\nb.Ratio of magnitude of impulse exerted on first ball to that on second ball = %0.3f',r)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
+
diff --git a/3845/CH8/EX8.4/Ex8_4.sce b/3845/CH8/EX8.4/Ex8_4.sce
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index 000000000..7763c7eb7
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+++ b/3845/CH8/EX8.4/Ex8_4.sce
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+//Example 8.4
+m1=0.500;//Mass of object 1 (kg)
+m2=3.50;//Mass of object 2 (kg)
+v1=4.00;//Initial velocity of object 1 (m/s)
+v2=0;//Initial velocity of object 2 (m/s)
+//Using equations of conservation of momentum and conservation of internal kinetic energy, we can derive a quadratic equation with v1_final as the variable
+//(1/2*m1+1/2*m1^2/m2)v1_final^2-(m1^2/m2*v1)v1_final-(1/2*m1*v1^2-1/2*m1^2/m2*v1^2)
+
+p=[(1/2*m1+1/2*m1^2/m2) -(m1^2/m2*v1) -(1/2*m1*v1^2-1/2*m1^2/m2*v1^2)];//Coefficients of above polynomial
+
+r=roots(p);//Finding the roots of the equation
+if r(1,1)==v1 then
+ v1_final=r(2,1);
+else
+ v1_final=r(1,1);
+end//Assigning a meaningful value to final velocity of object 1 (m/s)
+v2_final=m1/m2*(v1-v1_final);//Final value of object 2 from momentum equation (m/s)
+
+printf('Final velocity of object 1 = %0.2f m/s',v1_final)
+printf('\nFinal velocity of object 2 = %0.2f m/s',v2_final)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH8/EX8.5/Ex8_5.sce b/3845/CH8/EX8.5/Ex8_5.sce
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index 000000000..333558b50
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+++ b/3845/CH8/EX8.5/Ex8_5.sce
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+//Example 8.5
+m1=0.150;//Mass of puck (kg)
+m2=70.0;//Mass of goalie (kg)
+v1=35.0;//Initial velocity of puck (m/s)
+v=(m1*v1)/(m1+m2);//Final velocity from conservation of momentum (m/s)
+printf('a.Recoil velocity = %0.2e m/s',v)
+KE_int1=1/2*m1*v1^2;//Internal kinetic energy before collision (J)
+KE_int2=1/2*(m1+m2)*v^2;//Internal kinetic energy after collision (J)
+delta_KE=KE_int2-KE_int1;//Change in internal kinetic energy (J)
+printf('\nb.Change in internal kinetic energy = %0.1f J',delta_KE)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH8/EX8.6/Ex8_6.sce b/3845/CH8/EX8.6/Ex8_6.sce
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index 000000000..59aafc402
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+++ b/3845/CH8/EX8.6/Ex8_6.sce
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+//Example 8.6
+m1=0.350;//Mass of cart 1 and spring (kg)
+m2=0.500;//Mass of cart 2 (kg)
+v1=2.00;//Initial velocity of cart 1 (m/s)
+v2=-0.500;//Initial velocity of cart 2 (m/s)
+v1_final=-4.00;//Final velocity of cart 1 (m/s)
+v2_final=(m1*v1+m2*v2-m1*v1_final)/m2;//Final velocity of cart 2 (m/s)
+printf('a.Final velocity of cart 2 = %0.2f m/s',v2_final)
+KE_int1=(1/2*m1*v1^2)+(1/2*m2*v2^2);//Internal kinetic energy before collision (J)
+KE_int2=(1/2*m1*v1_final^2)+(1/2*m2*v2_final^2);//Internal kinetic energy after collision (J)
+delta_KE=KE_int2-KE_int1;//Change in internal kinetic energy (J)
+printf('\nb.Energy released by the spring = %0.2f J',delta_KE)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
+
diff --git a/3845/CH8/EX8.7/Ex8_7.sce b/3845/CH8/EX8.7/Ex8_7.sce
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index 000000000..12d35b0ed
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+//Example 8.7
+m1=0.250;//Mass of object 1 (kg)
+m2=0.400;//Mass of object 2 (kg)
+v1=2.00;//Initial speed of object 1 (m/s)
+v1_final=1.50;//Final speed of object 1 (m/s)
+theta1=45;//Angle of emergence (deg)
+theta2=atand((v1_final*sind(theta1))/(v1_final*cosd(theta1)-v1));//Direction of velocity of object 2 (deg)
+printf('Direction of velocity of object 2 after collision = %0.1f deg\n',theta2)
+if theta2<0
+ printf('\t\t\t\t\t\t or %0.1f deg',360+theta2)
+end
+v2_final=-(m1/m2)*v1_final*(sind(theta1)/sind(theta2));
+printf('\nMagnitude of velocity of object 2 after collision = %0.3f m/s',v2_final)
+//Answer varies due to round off error
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest
diff --git a/3845/CH8/EX8.8/Ex8_8.sce b/3845/CH8/EX8.8/Ex8_8.sce
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index 000000000..862ca6bfb
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+//Example 8.8
+m=2.80*10^6;//Mass at liftoff (kg)
+delta_m_by_delta_t=1.40*10^4;//Fuel-burn rate (kg/s)
+v_e=2.40*10^3;//Exhaust velocity (m/s)
+g=9.80;//Acceleration due to gravity (m/s^2)
+a=v_e*(delta_m_by_delta_t)/m-g;//Acceleration (m/s^2)
+printf('Initial acceleration = %0.2f m/s^2',a)
+//Openstax - College Physics
+//Download for free at http://cnx.org/content/col11406/latest