How was w (weight) eliminated from this equation? how is 1/2wv^2/g equal to v^2/2g?
bernoulli’s equation
z + p/ρg + v^2/2g = constant
v2/2g term has square of velocity in numerator which hints of the kinetic energy. but as we know kinetic energy is ½ mv^2 so the third term in the bernoulli’s equation is the kinetic energy per unit weight. mass ‘m’ can be written as w/g so ½ mv^2 is equal to ½ wv^2/g or v^2/2g. it has the dimensions of nm/n or m, the kinetic energy per unit weight of fluid particle, which is also called velocity head.

Car batteries are often rated in amp-hours. this rating indicates the quantity of charge that can pass through the battery before the battery's chemical energy must be restored by the car's generator or some other source. the amp-hour unit is convenient for simple calculations. for example, a 60-amp-hour battery can supply a current of 1.0 a for 60 h (or 60 a for 1.0 h) before going dead. find the energy stored in the following. (a) a 58 a-h, 10 v car battery(b) a 1.3 a-h, 1.7 v flashlight battery

Alice and marge are studying the properties of matter. the girls placed some an iron nail in a beaker containing water. iron is a solid metal at room temperature. iron is a shiny and malleable; it can be formed into shapes like the nails the girls used. iron will turn reddish-brown in the presence of air or water as it rusts. iron is a good conductor of electricity and heat. after 48 hours, the girls checked the nail in the water and compared it to the nail they left on the lab bench. here is a photo of their results. based on the girls' experiment, what is a chemical property of iron? a) iron is malleable. b) iron rusts in water. c) iron is a strong metal. d) iron is a good conductor.

At an outdoor market, a bunch of bananas attached to the bottom of a vertical spring of force constant 16.0 n/m is set into oscillatory motion with an amplitude of 20.0 cm. it is observed that the maximum speed of the bunch of bananas is 41.2 cm/s. what is the weight of the bananas in newtons?