4, A 4 x 10^15 pg particle is located at (4i + 3J)m A 2kg particle is located at

Question

4, A 4 x 10^15 pg particle is located at (4i + 3J)m A 2kg particle is located at (4i - 3J) m, Where is the center of moss located? 5. A 4kg block traveling with a velocity of (+3i -2j -3k)m/S collides with a 3kg block traveling at (-81 -2j - 1k) m/s. The two blocks stick together after the collision. What is the velocity vector of the combined block after the collision? 3. A spring loaded gun (k = 2.00 N/m) fires a 2kg sled along a track (A to D). The track is frictionless between points A and D. Between points C and b the sled bas o speed of 5.38516 m/s. ) What is the speed of sled between points A and B.? ii) By how much was the spring compressed before it launched the sled?

Explanation / Answer

m1 = 4e15 pg = 4e15*1e-12*1e-3 kg = 4 kg

rcm = (m1*r1)+(m2*r2)/(m1+m2)

rcm = (4*(4i+3j)) + (2*(4i-3j)) / (4+2)

rcm = (16i + 12j + 8i - 6j)/6

rcm = (24i - 6j)/6 = 4i - j <----answer

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5) V = (m1*v1)+(m2*v2)/(m1+m2)

V = ((4*(3i-2j-3k))+(3*(-8i-2j-1k))/(4+3)

V = (12i - 8j - 12k - 24i -6j - 3k ) /7

V = (-12i - 14j - 15k ) /7

V = -1.715i - 2j - 2.143 k m/s

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3)

K1 + U1 = K2 +U2

0.5*m*v1^2 + m*g*h1 = 0.5*m*v2^2 + m*g*h2

v1^2 = v2^2 + 2*g*(h2-h1)

v1^2 = (5.38516^2) +(2*9.8*(4-1))

v1 = 9.37016 m/s

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ii) 0.5*k*x^2 = 0.5*m*v1^2

x = 9.37016 m

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