A particle is moving in a circle of radius r-2 m. At some point the particle has a speed of v-4 m/s and a total acceleration of magnitude atotal 11 m/s². What is the magnitude of the tangential acceleration (a,) in m/s²? (a) 4.12 (b) 6.00 (c) 7.55 (d) 8.94 (e) 10.25
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- vector e, in the n- direction and the unit vector e; in the t direction, the acceleration can be expressed in terms of velocity, v, the radius of curvature of the curvilinear path, p and the time derivative of the velocity, as: In the description of plane curvilinear motion using coordinates n normal to the path and t tangent to the path of motion with unit O a = e, + ve, O a = O e, + ve, O a = (pv² )e, + =()e, + ve,n ashif kravels ad rake of 20 mfmin for 3sec then ar 40m/ui fer bsec aud finally at 1om/min for 1see? Aşınd the tadal distause covered in K mb The re kripm/ssec. averagespeed for the completeYou live on a planet far from ours. Based on extensive communicationwith a physicist on earth, you have determined that all lawsof physics on your planet are the same as ours and you have adopted thesame units of seconds and meters as on earth. But you suspect that thevalue of g, the acceleration of an object in free fall near the surface ofyour planet, is different from what it is on earth. To test this, you take asolid uniform cylinder and let it roll down an incline. The vertical height hof the top of the incline above the lower end of the incline can bevaried. You measure the speed vcm of the center of mass of the cylinderwhen it reaches the bottom for various values of h. You plot v 2cm (inm2/s2) versus h (in m) and find that your data lie close to a straight linewith a slope of 6.42 m/s2. What is the value of g on your planet?
- Question 6: A particle is moving in a circular path of radius R. At some in- stant, its acceleration a makes angle 0 with the horizontal as shown in Figure 2. At that instant, what is the speed of the particle? Figure 2 Select one: VaR cos 0 VaRtan 0 VaRsin 0 aR cot 0 aRsin? 0A motorboat travels along a circular path with the radius equal to 50m. It starts from rest and moves at a speed v = 0.8t misec, where it is ins Seconds. Determine the magnitude of the boat's n acceleration when it has traveled 20m in m/sec².lov xtonl S 20012000 920 9 bras o gvery, Ex < So rozGiven that r (t) = (3t cos t)j – (3t sin t) k , is the position В. vector of a moving particle, find the following quantities: 1. The velocity, speed, acceleration, and curvature of the particle, 2. The tangential and normal components of acceleration of the particle. B.
- The radius of the earth is R. At what distance above the earth's surface, in terms of R , is the acceleration due to gravity = 2.5 m/s2 ? At approximately (answer) × R above the earth’s surface.A boll rounds a 28.12 m radius curve. at 8 m/s. The magnitude of it's in m/s². accelerationQuestion 6: A particle is moving in a circular path of radius R. At some in- stant, its acceleration a makes angle 0 with the horizontal as shown in Figure 2. At that instant, what is the speed of the particle? R Figure 2 Select one: O VaRsin O VaRsin? 0 VaR cos 0 GRcot A.
- A particle follows a path of which the radial A position is described by r = (0.2 + 0.15 cose) mon Calculate the magnitude of the particles i b9992 241 acceleration when 0 = 30° 0 = 0.7 rad /sec, 0 = 0.5 rad /sec² in misec².obolimpom gnt stolala) S998 Im ni mal = 2 bovom. and of AscAsb 21 109 2910tting to 7 nöti200 Nothon SNT ISHIN 904 #Am (5) 203.2 = 1₁ coups me o volipas ant 11 20 = 8 21 NGHI209 Volupro 9m Smit 972 67 8 = 21 gloiting gn4 40 prodlev 904 90 91V 4 103 2100092 ni ei f TO T im 8 0 Anten ONE to NOHAT 0921The speed of a particle moving along circle of radius r=4 m, is v(t) = 4t; where v is in m/s and t is in s. The magnitude of the total acceleration (in m/s) of the particle at t = 1s is: a.4.0 b. 5.4 c. 8.9 d.2.1 e. 6.7III. 16. The floor area of a Boeing 707-230 is 106 m2. Express this area in ft2. 17. Convert a speed of 45 mph to fps. 18. The Silver Sabre has a maximum rate of climb of 4800 ft/min. Determine the rate of climb in ft/s ... sneed 21