Answer to Question #168183 in Physics for van

Question

In a water slide whose total length is 5.5 m as shown in Figure 3.12, a 30 kg child slides from the top to the end of the slide and splashes into the water pool. The child encounters a constant friction between his body and slide of 45.0 N. (a) What is the speed of the child as he left the water slide? (b) What is 3.0m the speed of the child as it splashes on the pool? 50 cm

Answer 1

1)

$$0.5mv^2=mgh-Fl\\0.5(30)v^2=(30)(9.8)(3)-(45)(5.5)\\v=6.5\frac{m}{s}$$

2)

$$u^2=6.5^2+2(9.8)(0.5)\\u=7.2\frac{m}{s}$$