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FailingstudentXD
25.12.2019 •
Physics
Two carts with masses of 4.2 kg and 3.2 kg move toward each other on a frictionless track with speeds of 5.4 m/s and 4.5 m/s, respectively. the carts stick together after colliding head-on. find their final speed. answer in units of m/s.
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Ответ:
the final speed is 5.01 m/s
Explanation:
Momentum is the product of mass and velocity.
Cart 1 has a mass of 4.2kg and a speed 5.4 m/s
Cart 2 has a mass of 3.2kg and a speed 4.5 m/s
Total momentum before collision is
m1u1 + m2u2. It becomes
4.2×5.4 + 3.2×4.5 = 22.68 + 14.4
= 37.08kgm/s
The carts stick together after colliding head-on. This means that they move with a common velocity, v. Therefore, Total momentum after collision is (m1 + m2)v. It becomes
(4.2 + 3.2)v = 7.4v
According the the law of conservation of momentum, the total momentum before collision = the total momentum after collision. Therefore,
7.4v = 37.08
v = 37.08/7.4 = 5.01 m/s
Ответ: