Concept explainers
From the preceding calculation, it should be obvious that to experimentally time the distance of fall for a dropped object is critical. To gain an appreciation of how the distance of fall varies with time, consider the daring experimenter shown in ● GL Fig. 5.1. Jo-Jo will illustrate the time-distance relationship of free fall by stepping off a high, vertical cliff with a timer in one hand and a marker in the other. For each second of fall, he makes a mark on the cliff face.
But wait. Jo-Jo wants you to determine how far he would fall during each second for the first 5 seconds. He requests you plot the results on a distance versus time graph for a visual display.
Oh, one other thing. He wants to open his parachute when reaching 60 mi/h. At what time, or between which seconds, should he do this?
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Physics Laboratory Experiments
- A man stands at the edge of a cliff and throws a rock downward with a speedof 12.0 m/s . Sometime later it strikes the ground 110 m below the place where it was thrown. (a) How long does it take to reach the ground? (b) What is the speed of the rock at impact? (10 Points – Draw a diagram and show your work)arrow_forwardA horizontal spring has spring constant “K" and the attached mass is “m". Youmake a 04) graph of f' vs 1/musing a number of different masses, some larger than “m" and some smaller than “m". (1/m is on theX axis). What is the slope of the graph? Express your answer in simplest mathematical tems.arrow_forwardAn object is moving on the number line. Its velocity is given by (1 + In t)5 v(t) for 1arrow_forwardA student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of vo = 20.5 m/s. The cliff is h = 26.0 m above a flat, horizontal beach as shown in the figure.arrow_forwardFor the question below, it will help if you draw a figure and put in it all the given information. At one point during the Oman bicycle race, three racers are riding along a straigh section of road. The velocity of racer Arelative to racer B is VAB, the velocity of is VAC and the velocity of C relative to B is yCB. If VAB = +6.0 m/s, and yac= +2. VCB? a) +2.0 m/s b) +4.0 m/s c) +8.0 m/s d) -4.0 m/s e) -2.0 m/s а. (а) b. (b) с. (с) d. (d) е. (е)arrow_forwardquency, the pendu Can you see why this is so? The moral of this example is that it is important to check matical solution makes good physical sense. For problems marked ", refer to page 520 for a hint, clue, or answer. (4Pi–3ĵ) N, Problems 2.1 Time-dependent force* A 5-kg mass moves under the influence of a force F = where t is the time in seconds (1 N = 1 newton). It starts at rest from the origin at t = 0. Find: (a) its velocity; (b) its position; and (c) r x v, for any later time. M 2.2 Two blocks and string* The two blocks M, and M2 shown in the sketch are connected by a string of negligible mass. If the system is released from rest, find how far block M¡ slides in time t. Neglect friction. M2 2.3 Two blocks on table Two blocks m, and m, are in contact on a horizontal table. A hor- izontal force is applied to one of the blocks, as shown in the draw- ing. If m = 2 kg, m2 = 1 kg, and F = 3 N, find the force of contact between the two blocks. m 2.4 Circling particle and force Two…arrow_forwardA meter stick is held vertically above your hand, with the lower end between your thumb and first finger. On seeing the meter stick released, you grab it with these two fingers. You can calculate your reaction time from the distance the meter stick falls and read directly from the point where your fingers grabbed it. Derive a relationship for your reaction time in terms of this measured distance, d. If the measured distance is 15 cm, what is the reaction time (in seconds)? Note: Nearest HUNDREDTHSarrow_forwardIn the free fall lab, after we do curve fit to the experimental points, Excel displayed a fitting euqation like this y=5.0 x+1. How much is our acceleration of gravity ? the slope is 5.0, therefore the acceleration of gravity is 5.0 m/s2 the result from the fitting equation is 1. the slope is 5.0, therefore the acceleration of gravity is 10.0 m/s? from the position versus time squared curve fitting equation, we cannot find the acceleration of gravity.arrow_forwardYou decide to play a trick on your friend using a giant water balloon as shown in the figure below.The balloon is dropped (no initial velocity) from a height of 43.24 meters. At the exact moment you drop the balloon your friend throws a rock straight up to strike and burst the balloon before it lands. We will take the rock to be thrown with an initial velocity of 108 km/hr from an initial height of zero.Convert the rock's initial velocity into proper units. v0(rock) = meters/secondWrite an equation for the y of the balloon at any time. yballoon(t) = Write an equation for the y of the rock at any time. yrock(t) = Determine the time at which the rock and balloon collide. tcollision = seconds.arrow_forwardYou are jumping on a trampoline. Curious about how fast you are moving just as you liftoff the surface of the trampoline, you decide to make some measurements. You find ittakes your feet 1.5 s to get to their peak height above the trampoline surface. How fastwere you going as you left the surface of the trampoline? Assume negligible airresistance. Show your reasoning and all work.arrow_forwardLooking back at Lab 3, specifically, 3.1, calculate the average acceleration for each object, along with a percent error from the accepted value of 9.8 m/s2. Record these values in Table 2. Table 2 – Freefall Data Drop Height (Ft) 7ft 8inches (94in) Drop Height Uncertainty (94in.) 94 Drop Time Uncertainty ( ) Cork Marble Popper Block Ball Filter Drop Time 1 ( <unit> ) 0.84 1.29 1.13 0.95 0.65 4.00 Drop Time 2 ( <unit> ) 0.77 1.28 1.07 0.97 0.62 4.32 Drop Time 3 ( <unit> ) 0.96 1.30 1.10 0.99 0.66 4.06 Avg. Drop Time ( <unit> ) 0.85 1.29 1.1 0.97 0.64 4.13arrow_forwardIn a free fall experiment, when you plot height in meters versus time squared as second s your slope as 4.8. Wh percent error. 2) quared, you obtain at is the unit for the slope? What is the theoretical expected value for the slope? Find thearrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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