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9. Two carts are moving toward each other on a track and collide. The following table shows the data for the collision: Mass Initial velocity Final velocity Cart 1 280 g 0.60 m/s to the right 0.20 m/s to the left Cart 2 320 g 0.30 m/s to the left 0.40 m/s to the right (a) What is the coefficient of restitution of this collision? (b) Is this collision totally elastic? Explain. (c) Calculate the initial velocity of the center of mass of the system that includes both carts.

9. Two carts are moving toward each other on a track and collide. The following table shows the data for the collision: Mass Initial velocity Final velocity Cart 1 280 g 0.60 m/s to the right 0.20 m/s to the left Cart 2 320 g 0.30 m/s to the left 0.40 m/s to the right (a) What is the coefficient of restitution of this collision? (b) Is this collision totally elastic? Explain. (c) Calculate the initial velocity of the center of mass of the system that includes both carts.

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10. 9. Two carts are moving toward each other on a track and collide. The following table shows the data for the collision: Mass Initial velocity Final velocity Cart 1 280 g 0.60 m/s to the right 0.20 m/s to the left Cart 2 320 g 0.30 m/s to the left 0.40 m/s to the right (a) What is the coefficient of restitution of this collision? (b) Is this collision totally elastic? Explain. (c) Calculate the initial velocity of the center of mass of the system that includes both carts. (d) Calculate the change in total momentum of the system that includes both carts and explain whether what you find is reasonable. (e) Calculate the change in total kinetic energy of the system that includes both carts and explain whether what you find is reasonable. (f) Make a new table that lists the velocities of the carts relative to a reference frame that is moving 0.20 m/s 'to the left' according to the coordinate system used in the table above. The map of city streets to the right shows blocks that are 40 m wide and 75 m long. A person walks along the streets from A to B in 2.0 minutes (as directly as they can while staying on the streets). (a) What is the magnitude and direction of the person's displacement? (b) What is the person's average speed? (c) What is the person's average velocity? A Buronico10 B Floomy 200mx 11. The position of a 25 kg robot that is moving along a straight track in the x direction is given by the function r(t) = (0.001 m/s^)t + (-0.04 m/s³)t³+ (0.4 m/s2)t2 between the times t = 0 and t = 20s. The maximum speed of the robot occurs both near t = 5s and t = 15 s. Find that maximum speed.
Transcribed Image Text:10. 9. Two carts are moving toward each other on a track and collide. The following table shows the data for the collision: Mass Initial velocity Final velocity Cart 1 280 g 0.60 m/s to the right 0.20 m/s to the left Cart 2 320 g 0.30 m/s to the left 0.40 m/s to the right (a) What is the coefficient of restitution of this collision? (b) Is this collision totally elastic? Explain. (c) Calculate the initial velocity of the center of mass of the system that includes both carts. (d) Calculate the change in total momentum of the system that includes both carts and explain whether what you find is reasonable. (e) Calculate the change in total kinetic energy of the system that includes both carts and explain whether what you find is reasonable. (f) Make a new table that lists the velocities of the carts relative to a reference frame that is moving 0.20 m/s 'to the left' according to the coordinate system used in the table above. The map of city streets to the right shows blocks that are 40 m wide and 75 m long. A person walks along the streets from A to B in 2.0 minutes (as directly as they can while staying on the streets). (a) What is the magnitude and direction of the person's displacement? (b) What is the person's average speed? (c) What is the person's average velocity? A Buronico10 B Floomy 200mx 11. The position of a 25 kg robot that is moving along a straight track in the x direction is given by the function r(t) = (0.001 m/s^)t + (-0.04 m/s³)t³+ (0.4 m/s2)t2 between the times t = 0 and t = 20s. The maximum speed of the robot occurs both near t = 5s and t = 15 s. Find that maximum speed.
Review of formulas Ar V A7 = avg At (how far, how fast, how long) P = mv K = = -mv² ΔΡ F = =P or F = 47 dt At V Eb = V Es + V sb V Eb = VbE 7cm= V cm m₁ř₁ + m₂ ₂ + ... m₁ + m₂ + ... = P tot mtot m₁v₁ + m₂ √₂+... m2 2 1 m₁ + m₂ + ... P final = Pinitial + AP in - A Pout Isolated system • Ptoti = P totf m₁ vi + m₂ 2 = ₁ Vif + m₂²f V 2f li ● e = - Vif - V2f Vli - V2i 2 Knonconv== mtot vem = Kconv=Ktot-mtot vem 2 Ptot 2mtot
Transcribed Image Text:Review of formulas Ar V A7 = avg At (how far, how fast, how long) P = mv K = = -mv² ΔΡ F = =P or F = 47 dt At V Eb = V Es + V sb V Eb = VbE 7cm= V cm m₁ř₁ + m₂ ₂ + ... m₁ + m₂ + ... = P tot mtot m₁v₁ + m₂ √₂+... m2 2 1 m₁ + m₂ + ... P final = Pinitial + AP in - A Pout Isolated system • Ptoti = P totf m₁ vi + m₂ 2 = ₁ Vif + m₂²f V 2f li ● e = - Vif - V2f Vli - V2i 2 Knonconv== mtot vem = Kconv=Ktot-mtot vem 2 Ptot 2mtot
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