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Calculate the velocity of a train that is headed south and has a mass of 4500 kilograms and whose momentum is 879,000 kg•m/sec

2 Answers

6 votes

Answer:

195 m/s south

Step-by-step explanation:

Momentum = mass × velocity

879000 kg m/s = (4500 kg) v

v = 195.33 m/s

Rounding, the velocity is approximately 195 m/s south.

User Jakub Svec
by
7.3k points
3 votes

Answer:


\large \boxed{\text{195 m$\cdot$ s}^(-1)\text{ south}}

Step-by-step explanation:

The equation for momentum is


\vec{p} = m\vec{v}

Since momentum is a vector, we must specify both speed and direction.

Data:

p = 879 000 kg·m·s⁻¹ south

m = 4500 kg

Calculation:


\begin{array}{rcl}\text{879 000 kg$\cdot$ m$\cdot$ s}^(-1) & = & \text{4500 kg} * v\\v & = & \frac{\text{879 000 kg $\cdot$ m$\cdot$ s}^(-1)}{\text{4500 kg}}\\\\& = & \textbf{195 m$\cdot$ s}^{\mathbf{-1}}\\\end{array}\\\text{The velocity of the train is $\large \boxed{\textbf{195 m$\cdot$ s}^{\mathbf{-1}}\textbf{ south}}$}

User Or Duan
by
7.0k points