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.
Question
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.
Solution
(i) The two energies are equal. This is because kinetic energy depends on mass and velocity. Both children start from rest and fall the same height, so they gain the same amount of kinetic energy.
(ii) The two speeds are equal. This is because speed is determined by the distance traveled and the time it takes. Both children travel the same distance (the height of the slide) in the same amount of time.
(iii) The two accelerations are equal. This is because acceleration due to gravity is the same for all objects, regardless of their mass.
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