While training for breeding season, a 380 gram male squirrel does 32 pushups in a minute, displacing itscenter of mass by a distance of 8.5 cmy for each pushup. Determine the total work done on the squirrel while moving upward (32 times).

Respuesta :

ANSWER

10.13 J

EXPLANATION

Given:

• the mass of the squirrel, m = 380g = 0.38kg

,

• the distance of the pushups, d = 8.5cm = 0.085m

,

• repetitions = 32

Unknown:

• total work done by the squirrel while moving upward, W

We know that the work done by a force F during a distance d is,

[tex]W=F\cdot d[/tex]

In this case, we can assume that the force is the gravity force,

[tex]F_g=m\cdot g=0.38\operatorname{kg}\cdot9.8m/s=3.724N[/tex]

The work done by the squirrel in one pushup is,

[tex]W_1=F_g\cdot d=3.724N\cdot0.085m=0.31654J[/tex]

The work done for 32 pushups is,

[tex]W=32W_1=32\cdot0.31654J\approx10.13J[/tex]

Rounded to the nearest hundredth, it is 10.13 J.