contestada

An empty truck of mass mo moves with a speed vo. Its momentum is movo. Suppose the truck is now loaded until its mass is double that of its empty mass and its speed is also doubled. Find the new momentum

Respuesta :

Answer:

The momentum (\(p\)) of an object is given by the product of its mass (\(m\)) and velocity (\(v\)):

\[ p = m \cdot v \]

For the empty truck:

\[ p_{\text{empty}} = m_0 \cdot v_0 \]

Now, when the truck is loaded until its mass is doubled (\(2 \cdot m_0\)) and its speed is doubled (\(2 \cdot v_0\)), the new momentum (\(p_{\text{loaded}}\)) can be calculated as follows:

\[ p_{\text{loaded}} = (2 \cdot m_0) \cdot (2 \cdot v_0) \]

\[ p_{\text{loaded}} = 4 \cdot m_0 \cdot v_0 \]

So, the new momentum of the loaded truck is \(4 \cdot m_0 \cdot v_0\).