A big clumsy cat having a mass of 4.00 kg falls from a tree branch for a distance of 2.00 m. In the air it rights itselfand hits the ground with outstretched legs decelerating to a stop over a distance of 12.0 cm (from rest on the branchat the top, to crouched at rest on the ground the total distancecovered is 2.00 m + 12.0 cm). Assuming a constantdeceleration over the 12.0 cm, what force (in N) does the cat exerton the ground?

Respuesta :

Answer:

force exerted by the cat is 693 N

Explanation:

We know that total energy is the sum of work done by gravity and friction i.e.[tex]E = W_{gravtiy} + W_{friction}[/tex]

[tex]0 = mg (h+s) + Fs[/tex]

solving for F

[tex]F = -  \frac{mg(h+s)}{s}[/tex]

here -ve sign indicate work done in opposite direction

where, m is mass  of cat = 4.00 kg

h = 2.00 m, [tex]s = 12.00\times 10^{-2} m[/tex]

Putting all value in above equation

[tex]F = \frac{4 \times 9.87 \times( 2 + 12\times 10^{-2}}{12\times 10^{-2}}[/tex]

F = 692.53 N = 693 N

Therefore force exerted by the cat is 693 N