(a) A child slides down a water slide at an amusement park from an initial height h . The slide can be considered frictionless because of the water flowing down it. Can the equation for conservation of mechanical energy be used on the child? (b) Is the mass of the child a factor in determining his speed at the bottom of the slide? (c) The child drops straight down rather than following the curved ramp of the slide. In which case will he be traveling faster at ground level? (d) If friction is present, how would the conservation-of-energy equation be modified? (e) Find the maximum speed of the child when the slide is frictionless if the initial height of the slide is 12.0 m.
(a) A child slides down a water slide at an amusement park from an initial height h . The slide can be considered frictionless because of the water flowing down it. Can the equation for conservation of mechanical energy be used on the child? (b) Is the mass of the child a factor in determining his speed at the bottom of the slide? (c) The child drops straight down rather than following the curved ramp of the slide. In which case will he be traveling faster at ground level? (d) If friction is present, how would the conservation-of-energy equation be modified? (e) Find the maximum speed of the child when the slide is frictionless if the initial height of the slide is 12.0 m.
Solution Summary: The author explains that the equation for conservation of mechanical energy is applicable for the child in the water slide.
(a) A child slides down a water slide at an amusement park from an initial height h. The slide can be considered frictionless because of the water flowing down it. Can the equation for conservation of mechanical energy be used on the child? (b) Is the mass of the child a factor in determining his speed at the bottom of the slide? (c) The child drops straight down rather than following the curved ramp of the slide. In which case will he be traveling faster at ground level? (d) If friction is present, how would the conservation-of-energy equation be modified? (e) Find the maximum speed of the child when the slide is frictionless if the initial height of the slide is 12.0 m.
In order for Jane to return to base camp, she needs to swing across a river of width D that is filled with alligators. She must swing into a wind exerting constant horizontal force F,
F = 110 N, L = 40.0 m, 0 = 50.0°, and her mass to be 50.0 kg.
Wind
→F
Tarzan!
Jane
(a) with what minimum speed (in m/s) must Jane begin her swing to just make it to the other side? (If Jane can make it across with zero initial velocity, enter 0.)
m/s
on a vine having length L and initially making an angle with the vertical (see below figure). Take D = 48.0 m,
(b) Shortly after Jane's arrival, Tarzan and Jane decide to swing back across the river (simultaneously). With what minimum speed (in m/s) must they begin their swing? Assume that Tarzan has a mass of 80.0 kg.
m/s
R=2.00
12V
2.00
4.00
4.002
What is the current in one of the 4.0 Q resistors?
An isolated point charge q is located at point X. Two other points Y and Z are such
that YZ2 XY.
Y
X
What is (electric field at Y)/(electric field at Z)?
Two objects (m₁ = 4.75 kg and m₂
2.80 kg) are connected by a light string passing over a light, frictionless pulley as in the figure below. The 4.75-kg object is released from rest at a point h = 4.00 m above the table
mg
m
(a) Determine the speed of each object when the two pass each other.
m/s
(b) Determine the speed of each object at the moment the 4.75-kg object hits the table.
m/s
(c) How much higher does the 2.80-kg object travel after the 4.75-kg object hits the table?
m
General, Organic, and Biological Chemistry - 4th edition
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