Two children stand on a platform at the top of a curving slide next to a backyard swimming pool. at the same moment the smaller child hops off to jump straight down into the pool, the bigger child releases herself at the top of the frictionless slide.
(i) upon reaching the water, how does the kinetic energy of the smaller child compare with that of the larger child?
it is greater. it is less. the two energies are equal.
(ii) upon reaching the water, how does the speed of the smaller child compare with that of the larger child is?
it is greater. it is less. the two speeds are equal.
(iii) during their motions from the platform to the water, how does the average acceleration of the smaller child compare with that of the larger child? it is greater. it is less. the two accelerations are equal.
the first and third are wrong

For a particular reaction, ? h = -144.6 kj and ? s = -301.2 j/k. calculate ? g for this reaction at 298 k.

Air is held within a frictionless piston-cylinder container, which is oriented vertically. the mass of the piston is 0.45 kg and the cross-sectional area is 0.0030 m2. initially (state 1) the pressure of the gas is sufficient to support the weight of the piston as well as the force exerted by the atmospheric pressure ( 101.32 kpa). the volume occupied by the air within the cylinder in state 1 is 1.00 liter. one end of a spring (with spring constant k = 1000 n/m) is attached to the top of the piston, while the other end of the spring is attached to a stage that can move vertically. initially the spring is undeflected and therefore exerts no force. then the stage is then moved quasistatically downward a distance of 10.0 cm, at which point the system reaches state 2. the piston-cylinder is not insulated; rather it remains in diathermal contact with the surroundings, which are at a constant temperature of 300 k. what is the change of pressure within the container?

A17,250 kg rocket is pushed with a thrust of 6,450,284 n. what is the acceleration of the rocket?