The 11.6 slug block is moving down from time t = 0 to t = 5 seconds with constant acceleration; it's velocity during this time is depicted in the chart below (up is considered the positive direction): time (sec) v(ft/sec) 0 -3 1 -3 2 -3 3 -3 4 -3 5 -3 Determine the rope tension in pounds. Your answer should include at least one digit after the decimal place.

Please show complete solutions and detailed drawings. Show conversions, units, and box in the final answers

Thermal efficiency of a power cycle is 0.8. For the cycle, Qout = 250 kJ. Determine Qin in kJ. Enter the answer without units and round it if necessary to an integer. Do not use comma in the number.

Q1. As shown in the image below, the force acting on the box is F = (C.s²) N, where constant C = 2 and s is displacement in m. S Determine the work done by force ♬ to the box when the box has displaced s = 1.2 m. Please pay attention: the numbers may change since they are randomized. Negative sign must be included if the work done is negative. Your answer must include 2 places after the decimal point, and proper Sl unit. 1 F Your Answer: Answer units S

From your graph of T2 vs. l, determine a value for g.

A hammer has a speed of 8.0 m/s just before it strikes a 0.015 kg iron nail horizontally, using its 1.2 kg head. Assuming the nail absorbs all of the energy from the hammer, how much would the temperature of the nail rise if the hammer hit the nail 8 times in quick succession? Enter your answer in either K or °C. (Since it's a change in temperature, these units are identical.) J kg.K The heat capacity of iron is 450-

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(b) A ship is moving relative to the water and you are given the following velocities: Magnitude Direction (degrees) (kn/hour) Velocity Absolute water velocity (tide) Ship's velocity relative to water 8 120 20 90 The directions are measured clockwise from due north (i.e. due east is 90°). What is the ship's absolute velocity (magnitude and direction)?

Otto Emissions is driving his car at 14.6 m/s. Otto accelerates at 2 m/s2for 7 seconds. Otto then maintains a constant velocity for 19 more seconds. Determine the distance that Otto coverred in the entire travel time. Round off your final answer to three decimal places.

Q1. The image below shows an example of "absolute dependent motion analysis", where the motions of two objects depend on each other, and the goal is to find the relations in their motions (i.e., in their positions, velocities, and accelerations). Please put the suggested steps of analysis in the correct order. VA A B VB Differentiate the entire equation with respect to time, and extract the relation in velocities. Repeat for acceleration if needed. Set up a coordinate (s) along the direction of motion from a fixed point (O) or a fixed datum line. Represent the positions of the objects respectively. In some cases intermediate objects need to be considered too and their positions need to be represented as well. Recognize the constant length(s) and find the depending geometric relations between the position variables.