#7. Four objects are situated along the y axis as follows: a 2.00 kg object is at 3.00 m, a 3.00 kg object is at 2.5 m, a 2.50 kg object is at the origin, and a 4.00 kg object is at -0.500 m. Where is the center of mass of these objects?

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Chapter1: Units, Trigonometry. And Vectors
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Kindly answer number 7 with complete solution

#5. In ice hockey, a puck of mass 5.0 kg moving at 2.0 m/s approaches an identical puck that is
stationary on frictionless ice. After the collision, the first puck leaves with a speed v, at 30" to the
original line of motion; the second puck leaves with speed v, at 60", as in Figure 2.
(A) Calculate the speeds v, and v.
(B) Was the collision elastic? Justify your answer by showing the kinetic energies.
#6. A 1.0 kg steel ball and a 2.0 m cord of negligible mass make u simple pendulum that can pivot
without friction about the point O, as in Figure 3. This pendulum is released from rest in a horizontal
position, and when the ball is at its lowest point it strikes a 1.0 kg block sitting at rest on a shelf.
Assume that the collision is perfectly elastic and that the coefficient of kinetic friction between the block
and shelf is 0.10.
(A) What is the velocity of the block just after impact?
(B) How far foes the bock slide before coming to rest (assuming that the shelf is long enough)?
20m
#7. Four objects are situated along the y axis as follows: a 2.00 kg object is at 3.00 m, a 3.00 kg
abject is at 2.5 m, a 2.50 kg object is at the origin, and a 4.00 kg object is at -0.500 m. Where is the
center of mass of these objects?
Transcribed Image Text:#5. In ice hockey, a puck of mass 5.0 kg moving at 2.0 m/s approaches an identical puck that is stationary on frictionless ice. After the collision, the first puck leaves with a speed v, at 30" to the original line of motion; the second puck leaves with speed v, at 60", as in Figure 2. (A) Calculate the speeds v, and v. (B) Was the collision elastic? Justify your answer by showing the kinetic energies. #6. A 1.0 kg steel ball and a 2.0 m cord of negligible mass make u simple pendulum that can pivot without friction about the point O, as in Figure 3. This pendulum is released from rest in a horizontal position, and when the ball is at its lowest point it strikes a 1.0 kg block sitting at rest on a shelf. Assume that the collision is perfectly elastic and that the coefficient of kinetic friction between the block and shelf is 0.10. (A) What is the velocity of the block just after impact? (B) How far foes the bock slide before coming to rest (assuming that the shelf is long enough)? 20m #7. Four objects are situated along the y axis as follows: a 2.00 kg object is at 3.00 m, a 3.00 kg abject is at 2.5 m, a 2.50 kg object is at the origin, and a 4.00 kg object is at -0.500 m. Where is the center of mass of these objects?
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