Question

An empty truck of mass $1000kg$ moving at a speed of $36km{h}^{-1}$. It is loaded with $500kg$material on its way and again moves with the same speed. Will the momentum of the truck remain the same after loading?. If not find the momentum of the truck after loaded.

Answer 1

Step 1: Given data:

Mass of truck, $m_t=1000kg$

Mass of load, $m_l=500kg$

Speed of truck, $v=36km{h}^{-1}=36\times \frac{5}{18}=10m{s}^{-1}$

Step 2: Finding the momentum of the truck before and after loading:

1. Momentum of the truck before loading:

$momentum,p=m_t\times v=1000\times 10=10000kgm{s}^{-1}$

2. Momentum of the truck after loading:

$momentum,p=(m_t+m_l)v=(1000+500)10=1500\times 10=15000kgm{s}^{-1}$

1. That is the momentum of the truck before loading is not equal to the momentum of the truck after loading.
2. Thus, the momentum of the truck after being loaded, $p=15000kgm{s}^{-1}$.