Two carts mounted on an air track are moving toward one another. Cart 1 has a sp

Question

Two carts mounted on an air track are moving toward one another. Cart 1 has a speed of 1.0 m/s and a mass of 0.37 kg. Cart 2 has a mass of 0.60 kg. (a) If the total momentum of the system is to be zero, what is the initial speed of Cart 2? .6167 m/s (b) Does it follow that the kinetic energy of the system is also zero since the momentum of the system is zero? Yes No (c) Determine the system's kinetic energy in order to substantiate your answer to part (b) .226 Your answer cannot be understood or graded. More Information J

Explanation / Answer

(a)

Use: m1u1 + m2u2 = 0.

0.37 kg x 1 m/s + 0.60 kg x u2 = 0

0.37 kg m.s + 0.60 kg u2 = 0

0.60 kg u2 = -0.37 kg m/s

u2 = -0. = -0.62 m/s .... [- because Cart 2 is moving in the opposite direction]

(b) No. K.e. is not zero.

(c)

Use k.e. = 0.5 mv^2

Cart 1 k.e. = 0.5 x 0.37 x (1 m/s)^2 = 0.185 J

Cart 2 k.e. = 0.5 x 0.60 x (-0.62 m/s)^2 = 0.1532 J

Total k.e. of the system = 0.185 J + 0.1532 J = 0.37 J

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.