A body weighing 1 kg moves along the OX axis in such a way that its coordinate changes with time following the law

| January 5, 2021 | education

A body weighing 1 kg moves along the OX axis in such a way that its coordinate changes with time following the law x = -2 + 4t-0.5t ^ 2 (the coordinate is given in meters). What power does the force develop on the body at the moment t = 4c

To calculate the power developed by the force at a given moment in time, use the formula: N = F * V = m * a * V = m * S (t) ” * S (t) ‘.
Values of variables and functions: m – body weight (m = 1 kg); S (t) – the law of coordinate change (S (t) = x = -2 + 4t – 0.5t ^ 2); t is a given moment in time (t = 4 s).
Calculation: N = m * S (t) ” * S (t) ‘= 1 * (-2 + 4t – 0.5t ^ 2)’ ‘* (-2 + 4t – 0.5t ^ 2)’ = 1 * (-1) * (4 – 1t) = 1 * (-1) * (4 – 1 * 4) = 0 W.
Answer: At the moment of time 4 s, the power of the body is 0 W (the speed is zero).



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