A 1.2-kg spring-activated toy bomb slides on a smooth surface along the x -axis

Question

A 1.2-kg spring-activated toy bomb slides on a smooth surface along the x-axis with a speed of 0.50 m/s. At the origin 0, the bomb explodes into two fragments. Fragment 1 has a mass of 0.40 kg and a speed of 0.90 m/s along the negative y-axis. In the figure, the energy released by the explosion is closest to

Answers are:

0.20 J.

Explain if possible

0.36 J. 0.24 J. 0.32 J. 0.28 J.

0.20 J.

Explain if possible

A 1.2 - kg spring - activated toy bomb slides on a smooth surface along the x - axis with a speed of 0.50 m/s. At the origin 0, the bomb explodes into two fragments. Fragment 1 has a mass of 0.40 kg and a speed of 0.90 m/s along the negative y - axis. In the figure, the energy released by the explosion is closest to Answers are: 0.36 J. 0.24 J. 0.32 J. 0.28 J. 0.20 J. Explain if possible

Explanation / Answer

Answer:  check in the line of x-axis
1.2*0.5 = 0.8*v2*cos?
? 0.75 = v2*cos? ..........(1)

check in the line of y-axis
0 = 0.8*v2*sin? - 0.4*0.9
? v2 = 0.45/sin? ..............(2)

plung (2) into (1)
0.75 = v2*cos?
? 0.75 = (0.45/sin?)*cos?
? sin?/cos? = 0.45/0.75
? tan? = 0.6
? ? = arctan [0.6]
? ? ? 30.96 ............... is close to 31

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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