Problem 3.28 (a) In outer space, far from other objects, block 1 of mass 74 kg i
ID: 1879893 • Letter: P
Question
Problem 3.28 (a) In outer space, far from other objects, block 1 of mass 74 kg is at position m, and block 2 of mass 1100 kg is located at position m. What is the (vector) gravitational force acting on block 2 due to block 1? It helps to make a sketch of the situation grav > N (b) At 4.1 seconds after noon both blocks were at rest at the positions given above. At 4.8 seconds after noon, what is the (vector) momentum of block 2? >kg.m/s (c) At 4.8 seconds after noon, what is the (vector) momentum of block 1? > kg-m/s (d) At 4.8 seconds after noon, which one of the following statements is true? O Block 1 is moving faster than block 2. O Block 1 and block 2 have the same speed. Block 2 is moving faster than block 1.Explanation / Answer
a) both the objects are posited in x,y plane and the line joining thier centers is paralle to x-axis since the y co-ordinates are same. The force on 2 due to 1 is along the -x axis
= G m1 m2/r2 =
= - 6.67e-11*74*1100/92 = - 6.7e-8 i N or < -6.7e-8,0,0>
b) acceleration of block-2 = F/m2 = 6.7e-8/1100 = 6.09e-11 m/s2
we can assume the acceleration remains const. over the period of 0.7 s which is very small
velocity at 4.8 s after noon = 6.09e-11 *0.7 = 4.26e-11 m/s
momentum p2 = mv = 1100*4.26e-11 = 4.69e-8 kg-m/s
momnetum vector of block2
p2 = < -4.69e-8 , 0,0 >
c) Thee is no external force acting and hence total momentum is 0
momentum of block1 p1 = <4.69,0,0>
d) momentum of each block is same at any time in magnitude, block 1 is lighter and hence it will have higher velocity
block1 move fater than block2
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