Answered: A snowball of mass 2 kg is rolling on a…

A snowball of mass 2 kg is rolling on a flat surface with a speed of 5 m/sec. Assume there is no friction. It collects more snow and now has a mass of 3 kg. What is it’s speed now?

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Question

A snowball of mass 2 kg is rolling on a flat surface with a speed of 5 m/sec. Assume there is no friction. It collects more snow and now has a mass of 3 kg. What is it’s speed now?

Expert Solution

Step 1

The snowball initially has a mass of 2 kg, and is rolling on a flat surface with a linear speed of 5 m/s.

As it rolls, it collects more snow, as a result of which its mass increases to 3 kg.

Now, since there is no friction involved, and hence no non-conservative forces acting on this system, it can be said that the linear momentum of this snowball will remain constant, according to the law of conservation of linear momentum.

Linear momentum is given by the equation

$p = m v m i s t h e m a s s o f t h e o b j e c t v i s i t s v e l o c i t y$

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