A 3.1 kg object is initially at rest and is experiencing a net force of magnitude 4.7e^-t/2 N. As time approaches infinity, notice that the net force decays toward 0 N, which tells us that the acceleration is also dropping to 0 m/s^2 (and so the velocity is leveling off to a terminal speed). What is the terminal speed? (Ans.= 3.0 m/s)

FLUID STATICS. Only round off in the final answer. Use 3 decimal places. Thank you!Allison places her coffee mug on a spinner and rotates it around its axis. At rest, the mug is 10 cm deep and 6 cm in diameter, and it holds coffee 7 cm deep. What is the maximum angular rotation she can do in rad/s without spilling her coffee?

Q3. In the image shown below, according to the provided datum line, determine the gravitational potential energy of the 5.9-kg block. The radius r = 2.6 m and the angle 0 = 29°. Negative sign must be included if the energy is negative. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. Take g = 9.81 m/s². Your Answer: Answer Ө units Datum

A mass m = 1.0 kg moves under the action of the force given by F = 2i + 6tj, where t is in seconds. Yes, at t = 0 the mass starts from rest from the origin, determine (a) its acceleration, velocity and position as functions of t, (b) its linear momentum p, angular momentum L, as functions of t, (c) evaluate the previous sections for t = 2 s.

Nhand,A 75 N ma = 3 kg %D VA = 8 m/s Block Block Block Block B A Hx = 0.4 %3D 2 m Ax Note: Diagram is not drawn to scale A hand pushes block A (m,= 3 kg) with a constant force Nand. A= 75 N for a distance Ax 2 m along a (mostly) frictionless table such that it speeds up from rest and is traveling at a speed of 8 m/s after it slides over a rough section of the table (H = 0.4). Block A then collides with a more massive block B (mg = 6 kg) that is initially at rest. Find the speed of block A after it has been released by the hand and just before the rough section of the table. A) 10 m/s B) 20 m/s C) 30 m/s D) 40 m/s E) 50 m/s O A O B O D O E

L = aî + btº j + ctk where, a = 2.4 kg-m/s; b = 3.8 kg-m/s3; c = -9.6 kg-m/s? Determine the magnitude of the rate of change (with respect to time) of vector Lat t = 2.5 s

DYNAMICS AND RIGID BODIES

A solid cylinder (r= 4cm) goes down a ramp at a declination of 20°. The longitude of the ramp is 75 cm and 20 cm high. On average, the cylinder takes 1.25 s to go down the ramp. Without specifying the value of the mass determineWhat is the acceleration of the center of mass?What is the angular acceleration of the object?What is the moment of inertia of the object?What is the value of the radius of gyration?

Figure 2 G 0.75 m A B 2 m 1.5 m Figure 2 shows a 2000 kg lorry with a center of mass at G. Starting from rest, the lorry achieves a speed of 15 m/s under a constant acceleration after it has traveled 100 m. The front wheels are free to roll. Q5. What are the assumptions that can be made in this problem? (A) Traction force is due to the rear wheels only (B) The wheels have negligible mass (C) There is no change in gravitational force (D) All of the above Q6. What is the acceleration of the lorry (m/s²) (→)? (A) 0.675 (B) 0.908 (C) 1.125 (D) 1.850 Q7. What is the traction force on the wheels at A? () (A) FA= 1850 N (B) FA=2250 N (C) FA=2850 N (D) FA=3150 N