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Expert help when you need it- Q1: 46. (a) Sketch a graph of velocity versus time corresponding to the graph of displacement versus time given in the following figure. (b)Identify the time or times (ta, tb, tc, etc.) at which the instantaneous velocity has the greatest positive value. (c) At which times is it zero? (d) At which times is it negative? See Answer
- Q2: 28. A cyclist rides 8.0 km east for 20 minutes,then he turns and heads west for 8 minutes and3.2 km. Finally, he rides east for 16 km, which takes 40 minutes. (a) What is the final displacement of the cyclist? (b) What is his average velocity?See Answer
- Q3: A volleyball (mass of 0.3 kg) is travelling with a velocity of -4 m/s just before it strikes a player's arms. The player then "bumps" the ball into the air. The ball leaves the player's arms with a velocity of 5 m/s. See Answer
- Q4: Estimate the work you do to mow a lawn 10 mm by 20 mm with a 50-cmcm-wide mower. Assume you push with a force of about 10 NN .See Answer
- Q5: 3.1. Determine the relation between the angle 0 and ß in the figure shown. See Answer
- Q6: Find the derivatives with respect to the independent variable t for the following functions using the chain rule: \text { 2.2.1. } f(x(t), t)=\left(4 t^{2}-x\right)\left(t^{3}-8 t^{2}+12\right) \text { 2.2.2. } f(x(t), t)=\left(1+\sqrt{x^{3}}\right)\left(t^{-3}-2 \sqrt[3]{x}\right) \text { 2.2.3. } f(x(t), t)=(\sqrt{x}+2 x) /\left(7 t-4 x^{2}\right)See Answer
- Q7: 3.4. Find an expression for sinø in terms of the known quantities: d, h, lAB, lBC, and 0. Where, lAB and lBC are the lengths of the bars. See Answer
- Q8:3.3. Find the angle ACO shown in the diagram.See Answer
- Q9: \text { Solve the following differential equation showing all the steps and evaluate } x\left(\frac{\pi}{4}\right) \text { . } \ddot{x}-x \dot{\theta}^{2}=g \sin \theta Where g = 9.81,0 = constant = w, and 0 = wtSee Answer
- Q10: 2.3. Solve the differential equations using separation of variables \frac{d y}{d x}=\frac{2 y}{x} \text { - } \frac{d y}{d x}=3 x^{2} e^{-y} \frac{d y}{d x}=\frac{x y}{\left(x^{3}+x\right)}See Answer
- Q11: 3.2. Find a geometric relationship between the distance x and the angle 0 in terms of L. See Answer
- Q12: 12–31. The velocity of a particle traveling along a straight line is v= vo – ks, where k is constant. If s = 0 when t = 0,determine the position and acceleration of the particle as a function of time.See Answer
- Q13: 12-107. The fireman wishes to direct the flow of water from his hose to the fire at B. Determine two possible angles0, and 6, at which this can be done. Water flows from the hose at va = 80 ft/s. See Answer
- Q14: *12–4. A particle travels along a straight line with a constant acceleration. When s = 4 ft, v = 3 ft/s and whens = 10 ft,v=8 ft/s. Determine the velocity as a function of position.See Answer
- Q15: 12-102. If the dart is thrown with a speed of 10 m/s,determine the shortest possible time before it strikes the target. Also, what is the corresponding angle 0A at which it should be thrown, and what is the velocity of the dart when it strikes the target?12See Answer
- Q16: 12-47. A two-stage rocket is fired vertically from rest at s = 0 with the acceleration as shown. After 30 s the first stage, A, burns out and the second stage, B, ignites. Plot the v-t and s-t graphs which describe the motion of the second stage for 0<t<60s See Answer
- Q17: The radial wave function for the 2p shell of hydrogen is: R_{2 p}(r)=\frac{r}{\sqrt{24 a^{5}}} \exp (-r / 2 a) where a = (me/m)ao, m is the reduced mass, m̟ is the electron mass, and a, is the Bohr radius. Find the value of r for which the radial probability density is a maximum. ii. Verify that the wave function is correctly normalized. The following definite integral should be helpful: \int_{0}^{\infty} x^{n} e^{-\alpha x} \mathrm{~d} x=\frac{n !}{\alpha^{n+1}} \quad(n \geq 0 \text { and } \alpha>0)See Answer
- Q18: 600-nm light strikes a photoelectric surface and electrons with a maximum kinetic energy of 0.17 eV are emitted. (1 eV=1.601x10-19 J) a) (4 points) What is the frequency of light? b) (6 points) What is the work function of the surface? c) (10 points) What electric potential would the electrons have to travel through so that they are stopped?See Answer
- Q19: 4. A student lifts a 50 kg barbell 20 times in one minute. The barbell is lifted 75 cmeach repetition. Find the mechanical power.See Answer
- Q20: Problem 3. The angular velocity w of a spinning wheel changes as shown in the graph. Determine the angular displacement of the wheel between t = 0 and t = 8 s. See Answer
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