Solved: A block of ice with mass 4.00 kg is initially at
Chapter 6, Problem 6.77(choose chapter or problem)
A block of ice with mass 4.00 kg is initially at rest on a frictionless, horizontal surface. A worker then applies a horizontal force \(\overrightarrow{\boldsymbol{F}}\) to it. As a result, the block moves along the x-axis such that its position as a function of time is given by \(x(t)=\alpha t^{2}+\beta t^{3}\), where \(\alpha=0.200 \mathrm{~m} / \mathrm{s}^{2} \text { and } \beta=0.0200 \mathrm{~m} / \mathrm{s}^{3}\).
(a) Calculate the velocity of the object when t = 4.00 s.
(b) Calculate the magnitude of when \(\overrightarrow{\boldsymbol{F}}\) when t = 4.00 s.
(c) Calculate the work done by the force \(\overrightarrow{\boldsymbol{F}}\) during the first 4.00 s of the motion.
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