What is the momentum of a 76-kilogram horse running at a speed of 45 kilometers/hour?
A) 2.5 x 10^2 kilogram-meters/second
B) 3.4 x 10^4 kilogram-meters/second
C) 3.4 x 10^3 kilogram-meters/second
D) 9.5 x 10^2 kilogram-meters/second

Respuesta :

Answer:

Momentum of horse, [tex]9.5\times 10^2\ kg-m/s[/tex]

Explanation:

It is given that,

Mass of the horse, m = 76 kg

The speed of the horse, v = 45 km/h

Converting km/h to m/s, i.e. v = 12.5 m/s

The product of mass of horse and the velocity with which it is moving give its momentum. Mathematically,

[tex]p=m\times v[/tex].......(1)

So, putting the values of m and v in equation (1) gives :

[tex]p=76\times 12.5[/tex]

p = 950 kg m/s

or

[tex]p=9.5\times 10^2\ kg-m/s[/tex]

Hence, the correct option is (D).