An object with a mass of 1.08 kg moves from its initial position ( vec{r}_{1}=(-1.06 hat{i})+(-1.34 hat{j})+(-3.23 hat{k}) ) to its final position ( vec{r}_{2}=(-2.61 hat{i})+(-0.2 hat{j})+(-1.73 hat{k}) ), given in meters, within 1.32 s. The displacement takes place along the line connecting the initial position ( vec{r}_{1} ) to the final position ( vec{r}_{2} ). One of the forces acting on the object during the displacement process is ( vec{F}=(5.29 hat{i})+(2.19 hat{j})+(3.15 hat{k}) ) given in Newton. What is the average power in units of W that this force exerts on the object during this time? Answer:
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The displacement vector is the difference between the final position and the initial position: $\vec{d} = \vec{r_2} - \vec{r_1} = (-2.61 \hat{i} - (-1.06 \hat{i})) + (-0.2 \hat{j} - (-1.34 \hat{j})) + (-1.73 \hat{k} - (-3.23 \hat{k}))$ Show more…
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Emily A.
An object with a mass of 0.8 kg moves from its initial position (3.78i) + (0.023j) + (-0.89k) to its final position (-1.23i) + (-1.78j) + (-2.35k), given in meters, within 1.33 s. The displacement takes place along the line connecting the initial position r1 to the final position r2. One of the forces acting on the object during the displacement process is F (8.1i) + (3.53j) + (1.65k) given in Newton. What is the average power in units of W that this force exerts on the object during this time?
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