If the component vector \( \vec{A} \) along the direction of vector \( \vec{B} \) is zero, what can you conclude abot the vectors? a) Is it possible to add a vector quantity to a scalar quantity? Explain b) Can the magnitude of a vector have a negative value? Explain Which of the following physical quantities are vector \& which are not: force, temperature, th volume of water in a can, the ratings of a TV show, the height of a building, the velocity of

9.4. (a) Suppose that the unknown resistance \( R_{u} \) in Figure 9.2 is a resistance thermometer whose resistance at \( 100^{\circ} \mathrm{C} \) is \( 500 \Omega \) and whose resistance varies with temperature Chapter 9 at the rate of \( 0.5 \Omega /{ }^{\circ} \mathrm{C} \) for small temperature changes around \( 100^{\circ} \mathrm{C} \). Calculate the sensitivity of the total measurement system for small changes in temperature around \( 100^{\circ} \mathrm{C} \), given the following resistance and voltage values measured at \( 15^{\circ} \mathrm{C} \) by instruments calibrated at \( 15^{\circ} \mathrm{C}: R_{1}=500 \Omega ; R_{2}=R_{3}=5000 \Omega \); \( V_{i}=10 \mathrm{~V} \)

6. A particle undergoes three consecutive displacements: \( \bar{d}_{1}=(15 i+30 j+12 k) \mathrm{cm} \). \( \vec{d}_{2}=(23 i-14 j-5 k) a n \) and \( \vec{d}_{3}=(-13 i+15 j) \) an Find the magnitude of the resultant displacement.

ercice résolu Un corps solide \( (\mathrm{S}) \) de masse \( \mathrm{m}=2,9 \mathrm{~kg} \) glisse avec une vitesse constante \( \mathrm{v}=3,7 \mathrm{~m} / \mathrm{s} \) sur un plan incliné d'un gle \( \theta=35^{\circ} \) par rapport à l'horizontale. Le corps \( (\mathrm{S}) \) est soumis à une force \( \overrightarrow{\mathrm{F}} \) dont la direction est parallèle à la ne de plus grande pente, et de sens opposé à celui du mouvement du corps ( S ) et d'intensité \( \mathrm{F}=1,57 \mathrm{~N} \). On lige les frottements et on prend \( \mathrm{g}=9,8 \mathrm{~N} / \mathrm{kg} \). 1- Faire un schéma de la situation et y représenter les vecteurs forces extérieurs sans respect de l'echelle. 2- Le centre de gravité G du corps solide \( (\mathrm{S}) \) se déplace d'une distance \( \mathrm{AB}=4,7 \mathrm{~m} \). 2.1. Le travail de \( \overrightarrow{\mathrm{F}} \) entre A et B , est-il moteur ou résistant ? Justifier votre réponse. 2.2. Calculer \( \mathrm{W}_{\mathrm{A} \rightarrow \mathrm{B}}(\overrightarrow{\mathrm{F}}) \) et \( \mathrm{W}_{\mathrm{A} \rightarrow \mathrm{B}}(\overrightarrow{\mathrm{P}}) \).

If the component vector \( \vec{A} \) along the direction of vector \( \vec{B} \) is zero, what can you conclude abot the vectors? a) Is it possible to add a vector quantity to a scalar quantity? Explain b) Can the magnitude of a vector have a negative value? Explain Which of the following physical quantities are vector \& which are not: force, temperature, th volume of water in a can, the ratings of a TV show, the height of a building, the velocity of

a) Use the kinetic theory of gases to explain the pressure in the gas b) Hence discuss the effect on the pressure of the gas when the gas is heated at constant volume c) On the same axes of a p-V graph, show the change in the pressure of the gas when the gas is heated at constant volume and when the volume of the gas is reducod at constant temperature.