Question

A dog of mass 16kg slides down a playground slide. The slide is tilted at an angle of 52° with respect to the ground. The coefficient of kinetic friction between

the dog and the slide is μ=0.23. While the dog is sliding, an angry cat is pulling the dog down the slide with a force of 10 N, and a worried puppy is pulling the dog up

the slide with a force of 7 N!

**a.What is the weight of the dog?**

**b.What is the normal force on the dog?**

**c.What is the force of friction on the dog?**

**d. What is the acceleration of the dog down the
slide?**

**e.If the vertical height of the slide is 3 meters, how
much work does gravity do on the dog?**

Answer #1

Now, Work done by gravity

d is the displacement

Now,

where h is the vertical height = 3m

So, W = mgd x h/d = mgh = 16 x 9.8 x 3 J = **470.4 J
(e)**

Hence, the values are

a) 156.8 N

b) 96.54 N

c) 22.2042 N

d) 6.77 ms^{-2}

e) 470.4 J

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