A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is even with the surface. express the hydrostatic force against one side of the plate as an integral and evaluate it. (round your answer to the nearest whole number. use 9.8 m/s2 for the acceleration due to gravity. recall that the weight density of water is 1000 kg/m3.)

Fill this in pleaserhog integral from 0 to (answer 1) (answer 2) dx ≈ (answer3) N

An alligator swims to the left with a constant velocity of 5 \,\dfrac{\text{m}}{\text s}5 s m ? 5, space, start fraction, m, divided by, s, end fraction. when the alligator sees a bird straight ahead, the alligator speeds up with a constant acceleration of 3 \,\dfrac{\text {m}}{\text s^2}3 s 2 m ? 3, space, start fraction, m, divided by, s, start superscript, 2, end superscript, end fraction leftward until it reaches a final velocity of 35 \,\dfrac{\text {m}}{\text s}35 s m ? 35, space, start fraction, m, divided by, s, end fraction leftward. how many seconds does it take the alligator to speed up from 5 \,\dfrac{\text {m}}{\text s}5 s m ? 5, space, start fraction, m, divided by, s, end fraction to 35 \,\dfrac{\text {m}}{\text s}35 s m ? 35, space, start fraction, m, divided by, s, end fraction?

The diagram shows a series of volcanic island and a hot spot determine the direction of movement of the tectonic plate that for the island

Suppose a wheel with a tire mounted on it is rotating at the constant rate of 2.15 times a second. a tack is stuck in the tire at a distance of 0.373 m from the rotation axis. noting that for every rotation the tack travels one circumference (a) find the tack's tangential speed. (b) what is the tacks radial acceleration?