In this case, the total potential energy of the system is the sum over all pairs of particles. Assume that the tank is full of water.Triangle 4 feet across the top, with a height of 3 feet, Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Find the total force of the water on the portal. We can extend this concept to three or more particles. A radius 2 feet circular portal is vertically submerged so that its center is 20 feet below the surface of the water.
∴ U ( n ) − U ( ∞ ) = G m 1 m 2 ( ∞ 1 − r 1 ) ⇒ U = − r G m 1 m 2 (when particles are at a distance r from each other.) In general, we choose r 1 = ∞, U ( r 1 ) = 0. F C 2m D 1.5m Solution: Acceleration (az) 5 m/s2 (vertically upwards) Depth of oil (h) 1. The potential energy of a system corresponding to a conservative force has been defined as Find the force acting on the bottom of the tank when (a) the vertical acceleration 5m/s2 acts upwards (b) the vertical acceleration 5m/s2 acts downwards. Since the gravitational force between two particles is ∝ r 2 1 , we expect a more general potential energy function, the one that is valid without the restriction of having to be near the Earth's surface. We emphasized U = m g h, is valid only when the particle is near the Earth surface. In work, energy and power chapter, we introduced the concept of gravitational potential energy, i.e., the energy associated with the position of a particle.
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