31 _____________________________________________________________________ Physics 1050 Laboratory #5 Momentum and Impulse Momentum and Impulse Momentum: Momentum is a vector defined as the product of an object’s mass m ! and velocity v ! ! p = mv . Momentum is a vector and has the same direction as the velocity. It has units of kg⋅m/s. If a system has more than one object, the total momentum is the sum of the momentum of each object. If there is no external force applied to the system, momentum is conserved and the total momentum of the system before a collision ! ! equals the total momentum after a collision: pbefore = pafter . If there is an external force applied to the system, momentum is not conserved and the total momentum of the system before a collision ! ! does not equal the total momentum after a collision: pbefore ≠ pafter . Impulse: When a force is applied to an object over a time interval, the force will accelerate the object thus changing the object’s velocity, and therefore the object’s momentum. We define the impulse I to be the change in momentum of the object. ! ! ! I = mv2 − mv1 ! ! = p2 − p1. Impulse is also given as the product of force with time ! ! I = FΔt . For an object moving at constant velocity, the slope of the object’s Position versus Time curve is its velocity. 32 _____________________________________________________________________ Physics 1050 Laboratory #5 Momentum and Impulse Prelab Questions These questions need to be completed before entering the lab. Show all workings. Markers Initials In experiment 5, you will push one cart towards another stationary cart. They will collide, stick, and move together. Prelab 1: Write the equation for the total momentum before the collision. Write the equation for the total momentum after the collision. Prelab 2: If we have that m1 = 0.500 ± 0.005 kg, m2 = 1.000 ± 0.005 kg, v1 = 0.25 ± 0.01 m/s, and vf = 0.07 ± 0.01 m/s, calculate the initial and final momentum and the impulse. Include uncertainty with each calculation. 33 _____________________________________________________________________ Physics 1050 Laboratory #5 Momentum and Impulse Name and Student Number: ___________________________________ Date: ___________________________________ Partner: ___________________________________ Part I : Introduction Part II: Conservation of Momentum Table 1: Masses of Cart 1 and block. Mass Uncertainty Units Uncertainty Units Cart Block Plastic Card Total mass Table 2: Masses of Cart 2 and blocks. Mass Cart First block Second block Total mass QUESTION 1: 34 _____________________________________________________________________ Physics 1050 CHECKPOINT: Table 3: Laboratory #5 Momentum and Impulse To be signed after making your first graph. Time of collision. Time Units Collision Table 4: Initial and final velocity. Velocity Uncertainty Units Uncertainty Units Initial Final Table 5: Initial and final momentum. Value Initial momentum Final momentum Impulse Show calculations here. 35 _____________________________________________________________________ Physics 1050 QUESTION 2: QUESTION 3: QUESTION 4: QUESTION 5: Laboratory #5 Momentum and Impulse 36 _____________________________________________________________________ Physics 1050 Laboratory #5 Momentum and Impulse QUESTION 6: Table 6: Initial and final momentum of cart 1. Momentum Uncertainty Units Initial Final Show calculations here. Table 7: Initial and final momentum of cart 2. Momentum Initial Final Show calculations here. Uncertainty Units 37 _____________________________________________________________________ Physics 1050 Table 8: Laboratory #5 Momentum and Impulse Impulse Impulse Cart 1 Cart 2 QUESTION 7: Part III: Summary QUESTION 8: Uncertainty Units 38 _____________________________________________________________________ Physics 1050 Laboratory #5 Momentum and Impulse QUESTION 9: Return to the lab manual: Staple graph to the reverse of this page.
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