16. Using the answer for question 14, and given a cart mass of M = 3.0 kg, the tension in the cable (N) is: M +x m +x O 7.35 O 2.45 O 4.90 9.80 O 0.613 0.817 O 3.267 O 1.633
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- A particle moves along a straight line in such a manner that its displacement, at any instant, from a fixed point on its path is given by the question s = 1/10 + (?^3 + 6t^2 + −4 ?)What displacement, velocity and acceleration will the particle attain after 10 seconds?Applying principles of dynamics, with step by step solutions pls (i give 5 stars) A freighter is moving at a speed of 8 nautical miles per hour. The engines then had to be suddenly stopped. If it takes 10 minutes for the freighter to reduce its speed to 3 knots, determine the distance moved by the ship and its speed at the end of this interval. The deceleration of the ship is propor-tional to the square of its speed such that a = -kV^2.An automotive engineer is testing how quickly a newly designed sports car accelerates from rest. He has collected data giving the velocity V, in miles per hour, as a function of time t, in seconds, since the car was at rest. Below is a table giving a portion of his data. Time (t) Velocity (V) 2.0 28.4 2.5 33.9 3.0 39.4 3.5 44.9 (a) By calculating differences, show that the data in this table can be modeled by a linear function. Time 2.0 to 2.5 2.5 to 3.0 3.0 to 3.5 Change in t Change in V (b) What is the slope for the linear function modeling velocity as a function of time? mph per secExplain in practical terms the meaning of the slope. This means that, after every second, the car will be going miles per hour faster. This says that the acceleration is ---Select--- varying constant . (c) Use the data in the table to find the formula for velocity V as a linear function of time t that is valid over the time period covered in the table.V =…
- An airplane starts from rest, travels 5000 ft down a runway, and after uniform acceleration, takes off with a speed of 162 mi/h. It then climbs in a straight line with a uniform acceleration of 3 ft/s^2 until it reaches a constant speed of 220 mi/h. Draw the s–t, v–t, and a–t graphs that describe the motion.I have data accrued from a fan could you explain to me the concepts and show me how to calculate the horsepower and work done by the fan that data was composed of below in this table? Time (s) Run #1 Velocity, Blue (m/s) Run #1 0.05 0 0.1 0 0.15 0 0.2 0 0.25 0 0.3 0 0.35 4.04E-04 0.4 4.04E-04 0.45 0 0.5 -4.04E-04 0.55 -4.04E-04 0.6 0 0.65 0 0.7 4.04E-04 0.75 8.08E-04 0.8 4.04E-04 0.85 -4.04E-04 0.9 -8.08E-04 0.95 0 1 8.08E-04 1.05 4.04E-04 1.1 0 1.15 -4.04E-04 1.2 0 1.25 4.04E-04 1.3 0 1.35 0 1.4 -4.04E-04 1.45 0 1.5 4.04E-04 1.55 0 1.6 0 1.65 -4.04E-04 1.7 0 1.75 4.04E-04 1.8 0 1.85 0 1.9 -4.04E-04 1.95 0 2 4.04E-04 2.05 4.04E-04 2.1 4.04E-04 2.15 0 2.2 0 2.25 0 2.3 0 2.35 0 2.4 0 2.45 0 2.5 4.04E-04 2.55 8.08E-04 2.6 8.08E-04 2.65 8.08E-04 2.7 8.08E-04 2.75 8.08E-04 2.8 4.04E-04 2.85 0 2.9 0 2.95 0 3 0 3.05 0 3.1 0 3.15 0 3.2 0 3.25 0 3.3 0 3.35 0…The velocity of the fluid flowing in a pipe with a radius of 10 cm was measured at certain points and the following table values were obtained. r=the distance of the measurement points to the center of the pipe (m) v=measured speeds (m/s) Accordingly, calculate the velocity value for r = 0.07 m by using 3rd order interpolation with the help of appropriate points that make the error minimum. In calculations, take 4 digits after the comma.
- The diagram shows a velocity-time graph for a car moving in a straight line. At point P thecar must be ____ and at point Q it must be ______ CHoices: slowing down, slowing down at the right of the origin, at the left of the origin speeding up, slowing down slowing down, speeding up speeding up, speeding up Explain whyUse g=32.2 */sec2 (9.81 m/s2) and 60°F (16°C) water unless told to do otherwise.• Google schedule-40 pipe’s thickness at different nominal size to obtain the innerdiameter of the pipe for accurate determinaLon of flow velocity.• Must show your work to support your selecLon. Otherwise, no points will be given.Water flows through a schedule-40 pipe that changes gradually in diameter from 6 in (154mm) at point A to 18 in (429 mm) at point B. The volumetric flow rate is 5.0 *3/sec (130 L/s). The respecLve pressures at points A and B are 10 psia (70 kPa) and 7 psia (48.3 kPa). All lossesare insignificant. What are the direcLon of flow and velocity at point A? (A) 3.2 */sec (1 m/s); from A to B(B) 25 */sec (7.0 m/s); from A to B(C) 3.2 */sec (1 m/s); from B to A(D) 25 */sec (7.5 m/s); from A to BThe motion of a jet plane just after landing on a runway is described by the (v -t ) graph. Construct the (s —t ) and (a — t ) graphs for the motion. Here (s =0 ), when (t=0). =15t +ast v () V= ~15t+600 )
- Applying principles of dynamics (with step by steep solutions pls i give 5 stars) The displacement of a particle which moves along the x axis is given by x = (-4 + 3t2)e-0.25t, consider x to be in feet and t in seconds. Plot the displacement, velocity and acceleration for the first 20 seconds of motion and determine, both graphically and by your established equation for acceleration,the time at which acceleration is 0. (If the students find it more comfortable, they may choose to graph using excel or any graphing software, solutions however must be done manually)At t=0, a train approaching a station begins decelerating from a speed of 96 mi/hr according to the acceleration function a(t)=−1536(1+8t)-3 mi/hr2, where t≥0. How far does the train travel between t=0 and t=0.1? Between t=0.1 and t=0.3?Dr. Wang was doing donuts (i.e. driving in a circle) in his car over the weekend and used his iPhone to measure the acceleration he experienced (this is a true story). The plot below shows the lateral acceleration recorded by his iPhone. Knowing that he was maintaining a constant speed and that the radius of his donuts was 10 meters, determine how fast he was driving and approximately how many donuts (laps) did he completed in the 6 seconds shown?