Question

An object moving with Velocity v = 2i + 3j + 4k find it's momentum take mass 3kg

Answer 1

6i + 9j + 12k kg m/s

Answer 2

The momentum $\mathbf{p}$ of an object is defined as the product of its mass $m$ and its velocity $\mathbf{v}$.

The formula is given by:

$\mathbf{p} = m\mathbf{v}$

Given values:

Mass $m = 3$ kg

Velocity $\mathbf{v} = 2\mathbf{i} + 3\mathbf{j} + 4\mathbf{k}$ m/s

Substitute the given values into the formula:

$\mathbf{p} = 3 \times (2\mathbf{i} + 3\mathbf{j} + 4\mathbf{k})$

Perform the scalar multiplication:

$\mathbf{p} = (3 \times 2)\mathbf{i} + (3 \times 3)\mathbf{j} + (3 \times 4)\mathbf{k}$

$\mathbf{p} = 6\mathbf{i} + 9\mathbf{j} + 12\mathbf{k}$

The units of momentum are kg m/s.

Therefore, the momentum of the object is $6\mathbf{i} + 9\mathbf{j} + 12\mathbf{k}$ kg m/s.