Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

8. A car of mass 3,000 kg, moving at a speed of 20 m/s, is overtaking a truck of mass 7,500 kg, moving at a speed of 16 m/s in the same direction and sense. What is the velocity of the center of mass of the system formed by the car and the truck?

Sagot :

MathPhys

Answer:

17.1 m/s

Explanation:

The velocity of the center of mass is the weighted average of each object's velocity. For two objects, m₁ and m₂, with velocities v₁ and v₂, the center of mass moves with velocity:

[tex]\LARGE \text {$ v_{cm}=\ $} \huge \text {$ \frac{m_1 v_1 + m_2 v_2}{m_1 + m_2} $}[/tex]

In this case, the car has a mass of 3000 kg and a velocity of 20 m/s. The truck has a mass of 7500 kg and a velocity of 16 m/s. Since both vehicles are moving in the same direction, both velocities have the same sign. The velocity of the center of mass is:

[tex]\LARGE \text {$ v_{cm}=\ $} \huge \text {$ \frac{(3000\ kg) (20\ m/s) + (7500\ kg) (16\ m/s)}{3000\ kg + 7500\ kg} $}\\\\\LARGE \text {$ v_{cm}=\ $} \huge \text {$ \frac{180,000\ kg\ m/s}{10,500\ kg} $}\\\\\LARGE \text {$ v_{cm}=17.1\ m/s $}[/tex]

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.