Question

eed of the center of mass of the two carts? A 310-g air track cart is traveling at 1.25 m/s and a 260-g cart traveling in the opposite direction at 1.33 m/s. What is the speed of the center of mass of the two carts? 1.47 m/s 0.131 m/s 2.80 m/s 1.29 m/s 0.0732 m/s

Answer 1

Answer:

$v_{CM}=0.0732\ m/s$

Explanation:

given,

mass of the cart 1, m₁ = 310 g

speed of car 1 , v₁ = 1.25 m/s

mass of cart 2, m₂ = 260 g

speed of cart 2, v₂ = -1.33 m/s

speed of center of mass

$v_{CM}=\dfrac{m_1v_1 + m_2 v_2}{m_1 + m_2}$

$v_{CM}=\dfrac{0.31\times 1.25 +0.26\times (-1.33)}{0.31+0.26}$

$v_{CM}=\dfrac{0.0417}{0.57}$

$v_{CM}=0.0732\ m/s$

Hence, speed of center of mass of the system is equal to 0.0732 m/s