Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
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]
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.