Carts a and B Have Equal Masses and Travel Equal $\overrightarrow{\mathbf{v}}$

question 16

Multiple Choice

Carts A and B have equal masses and travel equal distances D on side-by-side straight frictionless tracks while a constant force F acts on A and a constant force 2F acts on B. Both carts start from rest. The velocities $\overrightarrow{\mathbf{v}}$ A and $\overrightarrow{\mathbf{v}}$ B of the bodies at the end of distance D are related by:

• A) \(\overrightarrow{\mathbf{v}}\) B = \(\overrightarrow{\mathbf{v}}\) A .
• B) \(\overrightarrow{\mathbf{v}}\) B = \(\sqrt{2}\)
• \(\overrightarrow{\mathbf{v}}\) A.
• C) \(\overrightarrow{\mathbf{v}}\) B = 2 \(\overrightarrow{\mathbf{v}}\) A.
• D) \(\overrightarrow{\mathbf{v}}\) B = 4 \(\overrightarrow{\mathbf{v}}\) A.
• E) \(\overrightarrow{\mathbf{v}}\) A = 2 \(\overrightarrow{\mathbf{v}}\) B.

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