Question1
A robot arm that controls position of the video camera in an automated surveillance system is manipulated by a servo motor that exerts a force on a push-rod. The force is given by F(x) = (18.6 N/m2) x2,
where x is a position of the end of the push-rod.
If the push-rod moves from x1 = 1.5 m to nx2 = 4 m, how much work did servo motor do? Reply in units of J
Question2
A uniform block of height 0.460 meter floats in glycerin of density 1260.0 kg/m3. The top of block is 0.074 m above surface of the glycerin. What is a density of the block?
Olive oil with a density of 918.0 kg/m3 is poured gradually over the block until the block is totally immersed. Imagine that the two liquids do not mix. How much does depth to which the block absorbed in the glycerin change? For convention use positive as meaning more of block is absorbed in the glycerin and negative as less.