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Q1: 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
Q2: 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
Q3: 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
Q4: 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
Q5: \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
Q6: 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
Q7: 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
Q8: 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
Q9: 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
Q10: 3.2. Find a geometric relationship between the distance x and the angle 0 in terms of L. See Answer
Q11: *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
Q12: 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
Q13: The figure shows two charged particles fixed in place on an axis. Where on the axis (other than at an infinite distance) is there a point at which their net electric field is zero: between the charges, to their left, or to their right? O To the left of the charges. O To the right of the charges. O Between the charges. Is there a point of zero net electric field anywhere off the axis (other than at an infinite distance)? No O YesSee Answer
Q14: 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
Q15: 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
Q16: Calculate the electric dipole moment of an electron and a proton 4.13 nm apart. See Answer
Q17: 18. Twelve identical point particles are arranged in a circle, like the numbers on a clock, as shown. Each particle has charge q = +3•10-7C and the radius of the circle is4.0 meters. What is the electric potential at the center of the circle? A) 2025V B) 8100V C) OV D) 1575V E) 4080V See Answer
Q18: A sound wave generated by a source of frequency 440 Hz is moving through 25 °C air.The sound wave strikes a solid block of steel and propagates into the steel. What is the wavelength of the sound wave inside the steel. The density of steel is 7.85 g/cm³ and the bulk modulus of steel is 1.6 x 10" N/m? . 346 m 4515 m 0.787 m 10.26 m 1.27 mSee Answer
Q19: 8. (20 points) Spheres A (mass 0.020 kg), B (mass 0.030 kg), and C (mass 0.050 kg)are approaching the origin as they slide on a frictionless air table. The initial velocities of A and B are given in the figure below. All three spheres arrive at the origin at the same time and stick together. a) What must the x- and y-components of the initial velocity of C be if all three objects end up moving at 0.50 m/s in the +x-direction after the collision?See Answer
Q20: 1. Two resistors in series: Construct the circuit on your breadboard for the two-resistor series circuit. Place an ammeter to measure the TOTAL current in the circuit. • Measure the voltage across any of the two resistors. Drag the voltmeter to a convenient spot and take two wires to hook it up properly to measure the desired voltage. Place the value of the reading (what it should read ideally) in the space provided on the sheet. • Use the wires provided. Save the red for the power input and then use whatever colors you prefer, or your TA prefers, for the meters and and return wire. 2. Two resistors in parallel: Construct the circuit on your breadboard for the two-resistor parallel circuit. Place an ammeter to measure the TOTAL current in the circuit. • Measure the voltage across any of the two resistors. Drag the voltmeter to a convenient spot and take two wires to hook it up properly to measure the desired voltage. Place the value of the reading (what it should read ideally) in the space provided on the sheet. • Use the wires provided. Save the red for the power input and then use whatever colors you prefer, or your TA prefers, for the meters and and return wire. 3. One resistor in series with a parallel combination: Construct the circuit of the single resistor in series with a parallel combination. Place the ammeter to measure the TOTAL current in the circuit. • Measure the voltage across any of the three resistors. Drag the voltmeter to a convenient spot and take two wires to hook it up properly to measure the desired voltage. Place the value of the reading (what it should read ideally) in the space provided on the sheet. • Use the wires provided. Save the red for the power input and then use whatever colors you prefer, or your TA prefers, for the meters and and return wire.See Answer

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