Two blocks of masses m1 = 2.00 kg and m2 = 4.00 kg are released from rest at a height of h = 5.00 m on a friction less track as shown in Figure P9.77. When they meet on the level portion of the track, they undergo a head-on, elastic collision. Determine the maximum heights to which m, and rise on the curved portion of the track after the collision.
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The maximum height attained by block
Answer to Problem 9.77AP
The maximum height attained by block
Explanation of Solution
Given info: The mass of block
Write the expression for potential energy of block is,
Here,
Write the expression for kinetic energy of block is,
Here,
Write the expression for velocity of blocks using conservation of energy,
Here,
Substitute
Thus, the expression for velocity of block is
Write the expression for initial velocity of block
Here,
The value of acceleration due to gravity is
Substitute
Thus, the initial speed of block
Write the expression for conservation of linear momentum of block.
Here,
Substitute
Thus, the expression for final velocity of block
Write the expression for conservation of kinetic energy of the block.
Here,
Substitute
Thus, the final velocity of block
Write the expression for final velocity of block
Here,
Substitute
Thus, the final velocity of block
Write the expression to calculate the maximum height attained by block
Here,
The value of acceleration due to gravity is
Substitute
Thus, the maximum height attained by block
Write the expression to calculate the maximum height attained by block
Here,
The value of acceleration due to gravity is
Substitute
Thus, the maximum height attained by block
Conclusion:
Therefore, the maximum height attained by block
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Chapter 9 Solutions
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