Question

A luge and its rider, with a total mass of 84 kg, emerge from a downhill track onto a horizontal straight track with an initial speed of 33 m/s. If a force slows them to a stop at a constant rate of 1.1 m/s2, (a) what magnitude F is required for the force, (b) what distance d do they travel while slowing, and (c) what work W is done on them by the force? What are (d)F, (e)d, and (f)W if they, instead, slow at 2.2 m/s2?

Answer 1

DATA GIVEN IN THE PROBLEM :

mass=84kg

initial speed u=33m/sec

acceleration a=1.1 m/sec^2

final velocity v=0

later on for the next problem a=2.2m/sec^2

(a) magnitude of force=mass*acceleration

                               =84*1.1

                              =92.4 N

(b)distance=u² /(2*a)

                =33*33 /(2*1.1)

                =495m

(c)workdone=force*distance

                 =92.4*495

                 =45738 J

(d)force=mass*acceleration

           =84*2.2

           =184.8 N

(e)distance=u²/2a

                 =33*33 / 2*2.2

                 =247.5m

(f)workdone=force*displacement

               =     184.8     *247.5

              =45738J