Atriangular plate with base 4 m and height 5 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.)

Abatter hits the baseball a with an initial velocity of v0 = 110 ft/sec directly toward fielder b at an angle of 23° to the horizontal; the initial position of the ball is 2.2 ft above ground level. fielder b requires 0.44 sec to judge where the ball should be caught and begins moving to that position with constant speed. because of great experience, fielder b chooses his running speed so that he arrives at the “catch position” simultaneously with the baseball. the catch position is the field location at which the ball altitude is 8.4 ft. determine the velocity of the ball relative to the fielder at the instant the catch is made.

To run the physics cart, the fan speed of the cart is manipulated. this is the (blank) variable. the cart accelerates due to the speed of the fan. acceleration is therefore the (blank) variable. a “constant” is a parameter that stays the same regardless of the variables. one parameter of the cart that is held constant is the (blank) .

If the ama of the inclined plane below is 2, calculate the ima and efficiency. ima = efficiency =