Question 1 1 pts A particle sliding along a radial groove in a rotating turntable has polar coordinates at time t given by rct and 0 = Nt where c and are positive constants. Let and 0 denote the unit vectors corresponding to the radial and angular coordinates, respectively. The velocity vector at a time t is given by Oên - Stô cô – chỗ cô trô cô +ch tô cô trô Question 2 1 pts A particle sliding along a radial groove in a rotating turntable has polar coordinates at time t given by r = ct and 0 = St where c and are positive constants. Let and denote the unit vectors corresponding to the radial and angular coordinates, respectively. The acceleration vector at a time t is given by _ch22 tô +2c920 -cN²f-2cNÔ -c92 ^ +2c920 Question 3 1 pts A particle sliding along a radial groove in a rotating turntable has polar coordinates at time t given by r = ct and = Nt where c and are positive constants. The speed at a time t is given by c² +02² √c² + c²n²t² √c² +5² +² √² + c²² √c²-52² Och g+2 chê —c522tr _ 2c52ô
Question 4 1 pts The gravitational force exerted by a symmetric sphere of mass M on a particle external to the sphere is exactly the same as if the sphere were replaced by a particle of the same mass located at some origin the center the position on the sphere farthest from observer infinity the position on the sphere nearest to observer Question 5 1 pts A body is projected vertically upwards with speed u in a medium that exerts a drag force -mKv, where K is a positive constant and is the velocity of the body. Find the TIME taken to reach the maximum height. On(1+ **) In In(1+) ○(1-5) In(1+) ○ + n(1+)
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