Lunch Time! You are riding your motorcycle one day down a

Chapter 8, Problem 82P

(choose chapter or problem)

Lunch Time!? You are riding your motorcycle one day down a wet street that slopes downward at an angle of 20° below the horizontal. As you start to ride down the hill, you notice a construction crew has dug a deep hole in the street at the bottom of the hill. A Siberian tiger, escaped from the City Zoo, has taken up residence in the hole. You apply the brakes and lock your wheels al the top of the hill, where you are moving with a speed of 20 m/s. The inclined street in front of you is 40 m long.

(a) Will you plunge into the hole and become the tiger’s lunch, or do you skid to a stop befre you reach the hole? (The coefficients of friction between your motorcycle tires and the wet pavement are \(\mu_{\mathrm{s}}=0.90\) and \(\mu_{\mathrm{k}}=0.70\).)

(b) What must your initial speed be if you are to stop just before reaching the hole?