6. Three dynamics carts have force sensors placed on top of them. Each force sensor is tied to a string that connects all three carts logether (Figure 10). You use a sixth force sensor to pull the three dynamics carts forward. The reading on force sensor 2 is 3.3 N . Assume that the force sensors are light and that there is negligible friction acting on the carts. Figure 10 (a) What is the acceleration of all the carts? (b) What is the reading on each force sensor? (c) What force are you applying to force sensor 6 ?
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- Cart 1: 2.2 kg - Cart 2: 2.5 kg - Cart 3: 1.8 kg Show more…
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Two low-friction carts $A$ and $B$ have masses of $2.5 \mathrm{~kg}$ and $5.0 \mathrm{~kg}$, respectively. Initially a student is pushing them with an applied force of $\vec{F}_{B}=-20.0 \mathrm{~N}$, which is exerted on cart $B$ as shown in Fig. $3-50 a$. (a) Find the magnitude and direction of the interaction forces between the two carts $\vec{F}_{B \rightarrow A}$ and $\vec{F}_{A \rightarrow B}$ where $\vec{F}_{B \rightarrow A}$ represents the force on cart $A$ due to cart $B$ and $\vec{F}_{A \rightarrow B}$ represents the force on cart $B$ due to cart $A$. (b) If the student pushes on cart $A$ with an applied force of $\vec{F}_{A}=$ $+20.0 \mathrm{~N}$ instead, as shown in part (b) of Fig. $3-50$, determine the magnitude and direction of the interaction forces between the two carts $\vec{F}_{B \rightarrow A}$ and $\vec{F}_{A \rightarrow B}$ for this situation. (c) Explain why the interaction forces are different in the two cases. Hint: If you consider the two carts together as a system with mass $7.5 \mathrm{~kg}$, what is the acceleration of each of carts $A$ and $B ?$ What does the net force on cart $A$ have to be to result in this acceleration?
The spring scale in Fig. $3-51$ reads $10.5 \mathrm{~N}$. The cart moves toward the right with an acceleration of $3.5 \mathrm{~m} / \mathrm{s}^{2}$ (a) Suppose a second spring scale is combined with the first and acts in the same direction as shown in Fig. 3-52. The spring scale $\vec{F}_{A}$ still reads $10.5 \mathrm{~N}$ The cart now moves toward the right with an acceleration of $4.50 \mathrm{~m} / \mathrm{s}^{2}$. What is the net force on the cart? What does spring scale $\vec{F}_{B}$ read? Show your calculations and explain. (b) Suppose a second spring scale is combined with the first and acts in the opposite direction as shown in Fig. $3-53$. The spring scale $\vec{F}_{A}$ still reads $10.5 \mathrm{~N}$ The cart now moves toward the right with an acceleration of $2.50 \mathrm{~m} / \mathrm{s}^{2} .$ What is the net force on the cart? What does spring scale $\vec{F}_{B}$ read? Show your calculations and explain. (c) Which of Newton's first two laws apply to the situations in this problem?
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