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Home Question Bank Physics Archive 2025 January 05

Physics Questions from Jan 05,2025

Browse the Physics Q&A Archive for Jan 05,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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An object is dropped from rest and after falling a distance \( \boldsymbol{x} \), its momentum is \( \boldsymbol{p} \). Ignore the effects of air friction. The momentum of the object, after it has fallen a distance \( 2 \boldsymbol{x} \), is. A \( p \). B \( \sqrt{2 p} \) C \( \frac{p}{2} \) D \( 2 p \) (e) (I) In a Compton experiment, an X-ray photon of wavelength 0.15 nm collides with a stationary free electron and scatters backward at an angle of \( 180^{\circ} \) with respect to its original incident direction. (use \( h c=1240 \mathrm{eV} \cdot \mathrm{nm} \) ). What is the wavelength of the scattered photon (in nm )? (II) Calculate the wavelength of a photon emitted when an electron, trapped in an infinitely deep square well potential of width \( \ell=1.5 \times 10^{-10} \mathrm{~m} \), makes a transition from the \( n=2 \) state to the \( n=1 \) state. I blow up a balloon, tie it off, and take it to the bottom of the swimming pool. What will happen to the balloon and the air inside it? 15 En speciell bakterie producerar ett lim som kan hålla en vikt på \( 7 \mathrm{~kg} / \mathrm{mm}^{2} \). Det är tre gånger starkare än superlim. Hur stor vikt behövs för att få loss en mobiltelefon som har limmats fast i taket? Mobiltelefonen har måtten \( 5,9 \mathrm{~cm} \cdot 11,5 \mathrm{~cm} \). Avrunda till hundratal kilooram. PHYSICS: Vector Addition and Vector Resolution Practice Problems 1) Two people are pushing a disabled car. One exerts a force of 200 N east, the other a force of 150 N east. What is the resultant force exerted on the car? Vectors 14. The acceleration of a body in terms of time, \( t \) is given by \( a=(3 t-4) \mathrm{ms}^{-2} \). When \( t=1 \) second, \( v=5 \mathrm{ml} \) and \( t=2 \) ieends, so 30 m . Find the a) velocity shen \( t=5 \) seconds. expression for the displacement displacement when \( t=3 \) seends. Exercise 8 The point masses \( m \) and \( 2 m \) lie along the \( x \)-axis, with \( m \) at the origin and \( 2 m \) at \( x=L \) third point mass \( M \) is moved along the \( x \)-axis. 1. At what point is the net gravitational force on \( M \) due to the other two masses equal zero? 2. Sketch the \( x \)-component of the net force on \( M \) due to \( m \) and \( 2 m \), taking quantities the right as positive. Include the regions \( x<0,0<x \leftharpoonup L \), and \( x>L \). Be especially careful to show the behavior of the graph on either side of \( x=0 \) and \( x=L \). Exercise 9 Le componenti cartesiane di un vettore \( \vec{C} \) sono \( C_{x}=15,0 \) e C \( C_{y}=30,0 \). Calcola il modulo del vettore \( \vec{C} \). 138 Un vettore \( \vec{B} \) forma con l'asse \( x \) di un piano cartesiano un angolo di \( 30,0^{\circ} \). La sua componente lungo l'asse \( x \) è \( B_{x}=20,0 \). Calcola il modulo di \( \vec{B} \). 22 On note un instant \( t \), une durée \( \Delta t \), une position \( x(t) \), la norme d'une vitesse \( v(t) \), sa coordonnée selon un axe ( \( 0 x) v_{x}(t) \) et le rayon d'une trajectoire circulaire \( R \). 1. Indiquer les unités de ces grandeurs dans le système international. Dans quelle unité une accélération s'exprime-t-elle? 2. Indiquer les unités des expressions ci-dessous. Lesquelles ont la même dimension qu'une accélération? \( \begin{array}{lll}\text { a. } \frac{v(t)^{2}}{R} & \text { b. } \frac{\mathrm{d} x}{\mathrm{~d} t}(t) & \text { c. } \frac{\mathrm{d}^{2} v_{x}}{\mathrm{~d} t^{2}}(t) \\ \text { d. } v_{x}(t+\Delta t)-v_{x}(t-\Delta t) & \text { e. } \frac{\mathrm{d}^{2} x}{\mathrm{~d} t^{2}}(t) & \text { f. } \frac{v(t)}{R^{2}} \\ \text { g. } \frac{v_{x}(t+\Delta t)-v_{x}(t-\Delta t)}{2 \Delta t} & \text { h. } \frac{v(t)}{R} & \text { i. } \frac{d v_{x}}{\mathrm{~d} t}(t)\end{array} \)
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