Do Not Make This $20,000 Mistake - Part 2

Calculus Level 2

Ganesh forgot to set the brake on his car, and watched in horror as it rolled down a steep 6 5 ∘ 65^\circ incline slope and was completely smashed. The mechanic attached a metal cable to the body of the car in order to haul it up the slope.

If the automatic winch draws the cable in at a constant rate of 10 meters per minute, which of the following describes the speed at which Ganesh's car will be pulled up the slope?

10 sin ⁡ 6 5 ∘ 10 \sin 65^ \circ meters per minute 10 tan ⁡ 6 5 ∘ 10 \tan 65^ \circ meters per minute 10 10 meters per minute 10 cos ⁡ 6 5 ∘ 10 \cos 65^\circ meters per minute

View wiki
Chung Gene Keun by Chung Gene Keun , 42, USA

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Discussions for this problem are now closed

Gaurav Kaushik
Apr 13, 2014

As the wire or rope attached to the winch is inelastic , each and every point on it will have same velocity when external load is applied on it along any specific direction. wire's one end is attached to the winch at horizontal plane and other end is attached to the car at inclined plane , therefore both ends will have same velocity .

12 Helpful 0 Interesting 0 Brilliant 0 Confused

I thought "up the slope" meant "in an upwards direction" not "along the slope." Ah well....

Sophie Crane - 7 years, 1 month ago

Or as the motion is constrained..so the speed will be sams

Ronald Das - 7 years, 1 month ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...