A runner is jogging in a straight line at a steady vr= 8.8 km/hr. When the runner is L= 3 km from the finish line, a bird begins flying straight from the runner to the finish line at vb= 17.6 km/hr (2 times as fast as the runner). When the bird reaches the finish

Explanation:

Speed of runner Vr = 8.8 km / h

distance to be covered = 3 km

time taken by runner to reach finish line = 3 / 8.8 h = .34 s

distance covered by the bird during this period = speed of bird x time

= 17.6 x .34 = 5.98 km .

given data:

determine the horse power (h.p) = ?

force applied to move the box(f) = 10 pounds,

box lifted from a distance         (d) = 3 feet

time taken to lift                         (t) = 10 sec,

the horse power is defined as amount of work required to move a load. the horse power is equal to 550 foot-pound per second

                  1 h.p   = 550 foot-pound/second

it can also be defined as the the load that need to be move a body for certain distance in a certain amount of time.

mathematically,

                      h.p = (force × distance)/ time

                            = (10 × 3)/ 10

                            = 30/10

                            = 3 foot -pound/sec

hence, the horse power is needed to move the box is 3 foot-pound/second

important note: 1 h.p = 550 foot-pound/second = 746 watts

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