Problem 1: A runner runs around a circular track. He completes one lạp at a time of t = 260 s at a constant speed of v = 4.9 m/s. Randomized Variables t = 260 s v = 4.9 m/s
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A: Given : P = 5.6 kN w = 3.8 kN/m
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Q: Assume the following six statements are correct: Q = 4.19 m²/s R = 7.24 x 10-4 kg S = 1.23 kg m / s²…
A: Q = 4.19 m2sR = 7.24×10-4 kg S = 1.23 kg.ms2T = 2.88×10-3 kgmU = 12.3 kg2m2s3V = 1.01×10-6 sIt is…
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A: Given: A→+B→=x1i^+y1j^A→-B→=x2i^+y2j^
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Q: Problem 9: A car travels a distance d = 20.5 m in the positive x-direction in a time of t = 16.5 s.…
A: d = 20.5 m t1 = 16.5 s t2 = 7 s
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Q: If Vx = 7.90 units and Vy = -6.20 units, determine (a)the magnitude and (b)direction of V⃗
A: Consider the situation in the diagram below.
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Q: Question 5 Given a set of length measurements: 60.58 cm, 60.07 cm, 60.12 cm, 60.99 cm, 60.00 cm,…
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Q: Problem 9: A car travels a distance d = 20.5 m in the positive x-direction in a time of t = 16.5 s.…
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A: Given Distance 7.3 furlong 1furlong=201.168m 1rod=5.0292m 1chain=20.117m
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- Consider a box of mass 8.5 kg begin accelerated along the floor at 3.1 m/s^2. Randomized Variables M=8.5 kg Ax=3.1 m/s^2 If this block is being accelerated from rest for a time period of 12s, what is the net work, in joules, being done on it?Data number y t t2 1 10m 4.28s 18.31s 2 20m 4.42s 16.32s 3 30m 3.78s 14.28s 4 40m 3.50s 12.25 5 50m 3.19s 10.17s 6 60m 2.86s 8.17s 7 70m 2.47s 6.10s The equation of distance as a function of time for a freely falling object is described, according to theory, by the equation: since (vi=0 , yi=0) y(t)= yi+vt*t+1/2*g*t2 Use the table for : make a plot of y(t) vs t2 , and then calculate the slope in order to find g (the acceleration due to gravity, which is 9.8 m/s2) find Slope = Δy / Δt2 g =A boxer's fist and glove have a mass of m = 0.72 kg. The boxer's fist can obtain a speed of v = 9.5 m/s in a time of t = 0.25 s.Randomized Variablesm = 0.72 kgv = 9.5 m/st = 0.25 sWrite a symbolic expression for the magnitude of the average acceleration, aave, of the boxer's fist, in terms of the variables provided. Find the magnitude of the average acceleration, aave, in meters per square second. Write an expression for the magnitude of the average net force, Fb, that the boxer must apply to his fist to achieve the given velocity. (Write the expression in terms of m, v and t.) What is the numerical value of Fb, in newtons?
- Answer: Uncertainty of Speed = 0.3301 m/s A traffic patrol officer uses a UAV with a camera to measure the transit time of vehicles between two-mile markers to measure the speed of vehicles on a major highway. A certain vehicle passes through the two-mile markers with an average speed of 77 miles per hour, and the distance between the markers is 5280 ft ± (50 ft). If the officer uses a stopwatch to measure the transit time, and his reaction time uncertainty to any single event is 0.05 sec, what is the uncertainty in the aircraft-based speed measurement? calculation work shown either by hand or mathcadAn experiment is performed in an ideal condition to find out the velocity of a particle obeying the equation S=vtS=vt where the distance travelled (S)(S) inside a labeled glass tube by a particle with an uniform velocity (v)(v) is measured with respect to time taken (t)(t). The data collected by repeating the experiment five times is shown in the table below If we use the method to minimize the squared sum error, what is the most likely velocity of the particle among the given options? 2.5 1.5 2 1a Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between times of maximum brightness is 6.5 days. The average brightness of this star is 3.0 and its brightness changes by ±0.35. In view of these data, the brightness of the star at time t, where t is measured in days, has been modeled by the function B(t) = 3.0 + 0.35 sin (2?t)/(6.5) A) find the rate of change of the brightness after t days. dB/dt= B) find, correct to two decimal places, the rate of increase after one day. dB/dt
- A conveyor belt is used to send burgers through a grilling machine. If the grilling machine is 1.2 m long and the burgers require 2.8 min to cook, how fast must the conveyor belt travel? If the burgers are spaced 25 cm apart, what is the rate of burger production (in burgers/min)?What are the assumptions made when using the formula qV = 1/2 mv^2?A pirate has buried his treasure on an island with five trees located at the points (30.0 m, 20.0 m), (60.0 m, 80.0 m), (10.0 m, 10.0 m), (40.0 m, 30.0 m), and (70.0 m, 60.0 m), all measured relative to some origin, as shown in Figure P1.69. His ships log instructs you to start at tree A and move toward tree B, but to cover only one-half the distance between A and B. Then move toward tree C, covering one-third the distance between your current location and C. Next move toward tree D, covering one-fourth the distance between where you are and D. Finally move toward tree E, covering one-fifth the distance between you and E, stop, and dig. (a) Assume you have correctly determined the order in which the pirate labeled the trees as A, B, C, D, and E as shown in the figure. What are the coordinates of the point where his treasure is buried? (b) What If? What if you do not really know the way the pirate labeled the trees? What would happen to the answer if you rearranged the order of the trees, for instance, to B (30 m, 20 m), A (60 m, 80 m), E (10 m, 10 m), C (40 m, 30 m), and D (70 m, 60 m)? State reasoning to show that the answer does not depend on the order in which the trees are labeled. Figure 1.69
- Explain why, when defining the length of a rod, it is necessary to specify that the positions of the ends of the rod are to be measured simultaneously.If F1=2N, and F2= 3.4N, α1=500, α2=400. The value of FR by Cos law is:If the dragster could continue with this average acceleration, what would its speed be, in miles per hour, after it has travelled a total distance of 1.6 km (~1.0 mile)? A car speeds past a stationary police officer while traveling 120 km/h. The officer immediately begins pursuit at a constant acceleration of 11.7 km/h/s, just as the driver passes her. Randomized Variablesvc = 120 km/ha = 11.7 km/h/s How much time, in seconds, will it take for the police officer to catch up to the speeding car, assuming that the car maintains a constant speed? t= How fast, in kilometers per hour, will the police officer be traveling at the time he catches up to the driver? vf =