Question

How much momentum will a object of mass 10 kg transfer to the floor if it falls from a height of 80 cm ?

Answer 1

8000 nuton force .....

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Answer 2

The momentum of the object is 40kgm/s.

Given:-

Mass of the object = 10kg

Height from which object falls = 80cm

To Find:-

The momentum of the object.

Solution:-

We can easily calculate the momentum of the object by following these simple steps.

As

Mass of the object (m) = 10kg

Height from which object falls (s) = 80cm = 0.8m

g = 10m/s²

And since the object is dropped, then its

initial velocity (u) = 0

So, before going to the momentum first we should find out the final velocity by using the third equation of motion.

${v}^{2} = {u}^{2} + 2as$

${v}^{2} = {0}^{2} + 2 \times 10 \times 0.8$

${v}^{2} = 2 \times 8$

${v}^{2} = 16$

$v = \sqrt{16}$

$v = 4$

Now, according to the formula of momentum

momentum = mass × velocity

$p = m \times v$

$p = 10 \times 4$

$p = 40$

Hence, The momentum of the object is 40kgm/s.

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