A car of mass 3.0 $\times$10 3 kg traveling at a speed of 20 is passing a truck of mass 7.5 $\times$ 10 3 kg traveling at a speed of 16 in the same direction.What is the speed of the center of mass of this system? A)16 B)17 C)18 D)19 E)20

We can use the formula: $$v_{CM}=\frac{m_1v_{1}+m_2v_{2}}{m_1+m_2}$$ where $m_1$ and $v_1$ are the mass and velocity of the car, and $m_2$ and $v_2$ are the mass and velocity of the truck. Plugging in the numbers, we get: $$v_{CM}=\frac{(3.0\times10^{10}~\text{kg})(20~\text{m/s})+(7.5\times10^{10}~\text{kg})(16~\text{m/s})}{(3.0\times10^{10}~\text{kg})+(7.5\times10^{10}~\text{kg})}=17~\text{m/s}$$ Therefore, the best choice is (B).

A car of mass 3.0 $\times$10 3 kg traveling at a speed of 20 is passing a truck of mass 7.5 $\times$ 10 3 kg traveling at a speed of 16 in the same direction.What is the speed of the center of mass of this system? A)16 B)17 C)18 D)19 E)20

We can use the formula: $$v_{CM}=\frac{m_1v_{1}+m_2v_{2}}{m_1+m_2}$$ where $m_1$ and $v_1$ are the mass and velocity of the car, and $m_2$ and $v_2$ are the mass and velocity of the truck. Plugging in the numbers, we get: $$v_{CM}=\frac{(3.0\times10^{10}~\text{kg})(20~\text{m/s})+(7.5\times10^{10}~\text{kg})(16~\text{m/s})}{(3.0\times10^{10}~\text{kg})+(7.5\times10^{10}~\text{kg})}=17~\text{m/s}$$ Therefore, the best choice is (B).

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A Car of Mass 3 $\times$ 10³ Kg Traveling at a Speed of 20 Is

Question 64

Multiple Choice

A car of mass 3.0 $\times$ 10³ kg traveling at a speed of 20 $A car of mass 3.0 \times 103 kg traveling at a speed of 20 is passing a truck of mass 7.5 \times 103 kg traveling at a speed of 16 in the same direction.What is the speed of the center of mass of this system? A) 16 B) 17 C) 18 D) 19 E) 20$ is passing a truck of mass 7.5 $\times$ 10³ kg traveling at a speed of 16 $A car of mass 3.0 \times 103 kg traveling at a speed of 20 is passing a truck of mass 7.5 \times 103 kg traveling at a speed of 16 in the same direction.What is the speed of the center of mass of this system? A) 16 B) 17 C) 18 D) 19 E) 20$ in the same direction.What is the speed of the center of mass of this system?

A) 16 $A car of mass 3.0 \times 103 kg traveling at a speed of 20 is passing a truck of mass 7.5 \times 103 kg traveling at a speed of 16 in the same direction.What is the speed of the center of mass of this system? A) 16 B) 17 C) 18 D) 19 E) 20$
B) 17 $A car of mass 3.0 \times 103 kg traveling at a speed of 20 is passing a truck of mass 7.5 \times 103 kg traveling at a speed of 16 in the same direction.What is the speed of the center of mass of this system? A) 16 B) 17 C) 18 D) 19 E) 20$
C) 18 $A car of mass 3.0 \times 103 kg traveling at a speed of 20 is passing a truck of mass 7.5 \times 103 kg traveling at a speed of 16 in the same direction.What is the speed of the center of mass of this system? A) 16 B) 17 C) 18 D) 19 E) 20$
D) 19 $A car of mass 3.0 \times 103 kg traveling at a speed of 20 is passing a truck of mass 7.5 \times 103 kg traveling at a speed of 16 in the same direction.What is the speed of the center of mass of this system? A) 16 B) 17 C) 18 D) 19 E) 20$
E) 20 $A car of mass 3.0 \times 103 kg traveling at a speed of 20 is passing a truck of mass 7.5 \times 103 kg traveling at a speed of 16 in the same direction.What is the speed of the center of mass of this system? A) 16 B) 17 C) 18 D) 19 E) 20$

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A Car of Mass 3 ×\times× 103 Kg Traveling at a Speed of 20 Is

A Car of Mass 3 $\times$ 10³ Kg Traveling at a Speed of 20 Is