Questions: Problem: Momentum is mass times velocity. Suppose the momentum of a 495 g object is measured to be 286. kg*m/s. Calculate the object's velocity. Be sure your answer has a unit symbol and the correct number of significant digits.

Solution Steps

First, we need to convert the mass from grams to kilograms. The mass of the object is given as \(495 \, \text{g}\).

\[ 495 \, \text{g} = 0.495 \, \text{kg} \]

The formula for momentum (\(p\)) is given by:

\[ p = m \cdot v \]

where \(m\) is the mass and \(v\) is the velocity. We need to solve for \(v\).

Rearrange the formula to solve for \(v\):

\[ v = \frac{p}{m} \]

Substitute the given values into the equation:

\[ v = \frac{286 \, \frac{\text{kg} \cdot \text{m}}{\text{s}}}{0.495 \, \text{kg}} \]

Perform the division to find the velocity:

\[ v = \frac{286}{0.495} \approx 577.7778 \, \text{m/s} \]

The given values have three significant digits, so we should round the velocity to three significant digits as well:

\[ v \approx 578 \, \text{m/s} \]

Final Answer