(b) Force has the SI units kg · m/s2. Given the units of force, write a simple equation relating a constant force F exerted on an object, an interval of time t during which the force is applied, and the resulting momentum of the object, p. (Submit a file with a maximum size of 1 MB.)

Respuesta :

Answer:

The unit of force is Newton.

Explanation:

Given that,

S.I unit of force = kg -m/s²

Time = second

We need to calculate the unit of force

A constant force exerted on the object, an interval of time during

The force is applied and the resulting momentum of the object P.

Using formula of momentum

[tex]P = mv[/tex]....(I)

From equation of motion,

v = a t

From newton's second law

[tex]a =\dfrac{F}{m}[/tex]

Put the value v and a in the equation (I)

[tex]P=m\times a\times t[/tex]

[tex]P=m\times\dfrac{F}{m}\times t[/tex]

[tex]P=F\times t[/tex]

Put the unit of the force and time

[tex]P = kg-m/s^2\times s[/tex]

Here, [tex]kg-m/s^2=N[/tex]

[tex]P=N-s[/tex]

Hence, The unit of force is Newton.

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