An object is tracked by a radar station and found to have a position vector give
ID: 2001604 • Letter: A
Question
An object is tracked by a radar station and found to have a position vector given by r Overscript right-arrow EndScripts equals left-parenthesis 2670 minus 230 t right-parenthesis i Overscript EndScripts plus 2530 j Overscript EndScripts plus 130 k Overscript EndScripts, with r Overscript right-arrow EndScripts in meters and t in seconds. The radar station's x axis points east, its y axis north, and its z axis vertically up. If the object is a 180 kg meteorological missile, what are (a) its linear momentum (in unit vector notation) and (b) the magnitude of the net force on it?
Explanation / Answer
r = (2670 - 230 t) i^ + 2530 j^ + 130 k^
mass, m = 180 kg
(a)
Linear speed = dr/dt
v = d/dt ((2670 - 230 t) i^ + 2530 j^ + 130 k^ )
v = - 230 i^ m/s
Momentum, P = m*v
P = 180 * - 230 i^ Kg m/s
P = - 41400 i^ Kg m/s
Linear momentum, P = - 41400 i^ Kg m/s
(b)
As we See Velcoity is Constant , that means acceleration = 0
Force = Mass * Acceleration
Force = 0.
Magnitude of Net Force, F = 0.