Concept explainers
You are working at your university swimming center. The athletic department decides that it would like to install a flag pole of height 10.0 m at the south end of one of the outdoor pools, which lies along a north–south axis. The pool is 3.00 m deep and the flag pole is to be installed 4.00 m from the south edge of the pool, midway along the length of the south edge. (a) Your supervisor knows of your expertise in physics and asks you to determine the distance of the shadow of the tip of the flag pole on the bottom of the pool from the south wall of the pool on a summer day when the Sun appears directly south and at an angle of 65.0° above the horizon. (b) Your supervisor also asks if there is any time during the year that the flag pole will not cast a shadow along the bottom of the pool when the Sun is due south. The highest the Sun reaches in the sky at this location is 68.5° at the summer solstice.
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EBK PHYSICS FOR SCIENTISTS AND ENGINEER
- Suppose a toy boat moves in a pool at at a speed given by v=1.0 meter per second at t=0, and that the boat is subject to viscous damping. The damping on the boat causes the rate of speed loss to be given by the expression dv/dt=-2v. How fast will the boat be traveling after 1 second? 3 seconds? 10 seconds? Use separation of variables to solve this.arrow_forwardWhat functional form do you expect to describe the motion of a vibrating membrane without damping and why?arrow_forwardIf speed is tripled, how much larger will air drag become for an object? Show the math.arrow_forward
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- A spider begins to spin a web by first hanging from a ceiling by his fine, silk fiber. He has a mass of 0.025 kg and a charge of 3.5 μC. A second spider with a charge of 4.2 μC rests in her own web exactly 2.1 m vertically below the first spider. (a) What is the magnitude of the electric field due to the charge on the second spider at the position of the first spider? 8.57e3 N/C (b) What is the tension in the silk fiber above the first spider? 0.275 How does the electric field relate to the force? How do you calculate the net force? Narrow_forwardPlastic beads can often carry a small charge and therefore can generate electric fields. Three beads are oriented such that 92 is between 91 system of all three beads is zero. E field lines 91 92 93 X What charge does each bead carry? 91 = 92 = ?2.9 0 μC × What is the net charge of the system? What charges have to be equal? μC 93 2.9 με and 93. The sum of the charge on 91 and 92 is 91 +92 = -2.9 μC, and the net charge of thearrow_forwardAn electron has an initial speed of 5.26 x 100 m/s in a uniform 5.73 x 105 N/C strength electric field. The field accelerates the electron in the direction opposite to its initial velocity. (a) What is the direction of the electric field? opposite direction to the electron's initial velocity same direction as the electron's initial velocity not enough information to decide × What is the direction of the force on the electron? How does it compare to the direction of the electric field, considering the sign of the electron's charge? (b) How far does the electron travel before coming to rest? 0.0781 × What kinematic equation is relevant here? How do you calculate the force due to the electric field? m (c) How long does it take the electron to come to rest? 5.27e8 What is the final velocity of the electron? s (d) What is the electron's speed when it returns to its starting point? 5.26e6 m/sarrow_forward
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