Problem: Consider a system of two blocks that have masses m1 and m2 . Assume that the blocks are point-like particles and are located along the x axis at the coordinates x1 and x2 as shown (Figure 1) . In this problem, the blocks can only move along the x axis.Part ASuppose that v⃗cm=0 . Which of the following must be true?A) |p1x|=|p2x|B) |v1x|=|v2x|C) m1=m2D) none of the abovePart B(acm)x = F1x+F2xm1+m2Under what condition would the acceleration of the center of mass be zero? Keep in mind that F1x and F2x represent the components, of the corresponding forces.A)F1x=−F2xB) F1x=F2xC) m1=m2D) m1≪m2Part CConsider the same system of two blocks. Now, there are two internal forces involved. An internal force F⃗12 is applied to block m1 by block m2 and another internal force F⃗21 is applied to block m2 by block m1 (Figure 4) . Find the x component of the acceleration of the center of mass (acm)x of the system.Express your answer in terms of the x components F12x and F21x of the forces, m1 and m2 .

FREE Expert Solution

Part A

Suppose vcm = 0, it implies that the pomentum, p = mvcm = 0.

m1v1 = m2v2 = 0

m1v1 = - m2v2

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Problem Details

Consider a system of two blocks that have masses m1 and m2 . Assume that the blocks are point-like particles and are located along the x axis at the coordinates x1 and x2 as shown (Figure 1) . In this problem, the blocks can only move along the x axis.


Part A

Suppose that v⃗cm=0 . Which of the following must be true?

A) |p1x|=|p2x|

B) |v1x|=|v2x|

C) m1=m2

D) none of the above


Part B

(acm)x = F1x+F2xm1+m2

Under what condition would the acceleration of the center of mass be zero? Keep in mind that F1x and F2x represent the components, of the corresponding forces.


A)F1x=−F2x

B) F1x=F2x

C) m1=m2

D) m1≪m2


Part C

Consider the same system of two blocks. Now, there are two internal forces involved. An internal force F⃗12 is applied to block m1 by block m2 and another internal force F⃗21 is applied to block m2 by block m1 (Figure 4) . Find the x component of the acceleration of the center of mass (acm)x of the system.

Express your answer in terms of the x components F12x and F21x of the forces, m1 and m2 .

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Center of Mass concept. You can view video lessons to learn Intro to Center of Mass. Or if you need more Intro to Center of Mass practice, you can also practice Intro to Center of Mass practice problems.