Rank in order, from largest to smallest, the momenta p1x through p5x of the objects presented in Figure Q9.1. Explain.
Figure Q9.1
To rank: In order from largest to smallest momentum for five different objects.
Answer to Problem 1CQ
The momentum for five different objects from largest to smallest ranked is
Explanation of Solution
Given data:
Refer to Figure Q9.1 in the textbook for five different objects with their masses and velocities.
From the figure, mass of the object 1
Velocity of the object 1
Mass of the object 2
Velocity of the object 2
Mass of the object 3
Velocity of the object 3
Mass of the object 4
Velocity of the object 4
Mass of the object 5
Velocity of the object 5
Formula used:
Write the expression for momentum of an object (in x-direction) in terms of its mass and velocity as follows.
Here,
Calculation of momentum for object 1
Modify the expression in equation (1) to calculate the momentum of object 1 as follows.
Substitute 20 g for
Calculation of momentum for object 2
Modify the expression in equation (1) to calculate the momentum of object 2 as follows.
Substitute 20 g for
Calculation of momentum for object 3
Modify the expression in equation (1) to calculate the momentum of object 3 as follows.
Substitute 10 g for
Calculation of momentum for object 4
Modify the expression in equation (1) to calculate the momentum of object 4 as follows.
Substitute 10 g for
Calculation of momentum for object 5
Modify the expression in equation (1) to calculate the momentum of object 5 as follows.
Substitute 200 g for
From the calculations of the momentum of each object, the ranks are given from largest to the smallest as follows.
Conclusion:
Thus, the momentum for five different objects from largest to smallest ranked is
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