Question

Problem 1

A dog starts running at a constant speed

v0= 6 m/s. Initially, the dog is at a distance

d= 10 m from a window. The window is located at a height

h= 20 m above the ground. On top of the window there is a plant pot of mass m = 3 kg. The pot falls from the window 2 seconds after the dog starts running.

a) What is the speed (inm/s2) of the pot when it reaches the ground? (5 pts)

b) Does the pot hit the dog? (15 pts)

c) Would the answer to b change if the mass of the pot is m= 10 kg? Reason why. (5 pts)

Answer 1

a) The speed of the freely falling object under gravity is given by

b) The time taken by the pot to fall is given by the equation

where u is zero. Therefore

The distance that dog travelled in 2.02 + 2 sec is given by

Now it is clear that the dog will cross the point where the pot hit because that point is 10 meters away.

c) No, because in our calculations mass do not play any role. Conceptually, the acceleration due to gravity is still the same for that mass which produces the same results.

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