A girl is skipping stones across a lake. One of the stones accidentally ricochet

Question

A girl is skipping stones across a lake. One of the stones accidentally ricochets off a toy boat that is initially at rest in the water (see the drawing below). The 0.144-kg stone strikes the boat at a velocity of 12 m/s, 15

A girl is skipping stones across a lake. One of the stones accidentally ricochets off a toy boat that is initially at rest in the water (see the drawing below). The 0.144-kg stone strikes the boat at a velocity of 12 m/s, 15 degree below due east, and ricochets off at a velocity of 8 m/s, 12 degree above due east. After being struck by the stone, the boat's velocity is 1.9 m/s, due east. What is the mass of the boat? Assume the water offers no resistance to the boat's motion.

Explanation / Answer

considering the collision of the stone with the boat iselastic in nature

change in momentum of the stone along east direction isthe momentum transferred to the boat

mvcos?-mv'cos?' = MV

m(vcos?-v'cos?')= MV

m = mass ofthe stone
?, ?' = 15

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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