A uniform 200-kg cube that has a volume of (8.00 mathrm{~m}^{3}) (measured when the cube is at

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A uniform 200-kg cube that has a volume of \(8.00 \mathrm{~m}^{3}\) (measured when the cube is at rest in the Earth reference frame) travels perpendicular to a pair of its faces at \(0.672 c_{0}\) relative to Earth.

(a) What is the mass density of the cube according to an observer at rest on Earth?

(b) How fast (in the Earth reference frame) must a \(100-\mathrm{kg}\) object travel in the opposite direction to stop this cube in a collision?

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