The vector position of a 3.55 g particle moving in the xy plane varies in time...
The vector position of a 3.55 g particle moving in the xy plane varies in time according to r1 = (3î + 3ĵ)t + 2ĵt2 where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.80 g particle varies as r2 = 3î − 2ît2 − 6ĵt.
(a) Determine the vector position (in cm) of the center of mass of the system at t = 2.60 s.
b) Determine the linear momentum (in g · cm/s) of the system at t = 2.60 s.
c) Determine the velocity (in cm/s) of the center of mass at t = 2.60 s.
d) Determine the acceleration (in cm/s2) of the center of mass at t = 2.60 s.
e) Determine the net force (in µN) exerted on the two-particle system at t = 2.60 s.
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The vector position of a 3.55 g particle moving in the xy plane
varies in time...
The position vector of a particle of mass 2.10 kg as a function of time is...
The position vector of a
particle of mass 2.10 kg as a function of time is given by r with
arrow = (6.00 î + 5.80 t ĵ), where r with arrow is in meters and t
is in seconds. Determine the angular momentum of the particle about
the origin as a function of time. k kg · m2/s
6.00 і + 5.80 tj. where r ıs in meters and t is in seconds. Determine the angular momentum of the...
The vector position of a particle varies in time according to the expression - 6.20 -...
The vector position of a particle varies in time according to the expression - 6.20 - 9.00-2, where † is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any varlable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and...
The vector position of a particle varies in time according to the expression r = 8.20...
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...
The vector position of a particle varies in time according to the expression r with arrow...
The vector position of a particle varies in time according to the expression r with arrow = 7.40 î − 5.00t2 ĵ where r with arrow is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) v with arrow = m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol...
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j...
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and velocity...
The vector position of a particle varies in time according to the expression - 3.80 i...
The vector position of a particle varies in time according to the expression - 3.80 i - 6.601; where is in meters and is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) - m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s? (c) Calculate the particle's position and...
A particle moves in the xy plane with constant acceleration. At time t=0 s, the position...
A particle moves in the xy plane with constant acceleration. At time t=0 s, the position vector for the particle is r=9.70mx^+4.30my^. The acceleration is given by the vector a=8.00m/s^2x^+3.90m/s^2y^. The velocity vector at time t=o s is v=2.80m/sx^ - 7.00m/sy^. What is the magnitude of the position vector at time t= 2.10 s? What is the angle between the position vector and the positive x-axis at time t= 2.10 s?
4. The position vector of a particle of mass m varies with time according to the...
4. The position vector of a particle of mass m varies with time according to the equation d2 i Find() and the net force acting on the particle at time dt Find also the power P due to the net force at time [10 marks] (ii) By using (), find the work done by the net force on the particle within the period t = 0 to t-r, where r is the time when the particle comes to rest. [10...
nts) The position vector of a particle of mass 2.5 kg as a function of time...
nts) The position vector of a particle of mass 2.5 kg as a function of time is given (6 7i+571), where is in meters and t is in seconds. Determine the angular momentum of the particle about the origin at t=2 seconds.
The position vector of a
particle of mass 2.10 kg as a function of time is given by r with
arrow = (6.00 î + 5.80 t ĵ), where r with arrow is in meters and t
is in seconds. Determine the angular momentum of the particle about
the origin as a function of time. k kg · m2/s
6.00 і + 5.80 tj. where r ıs in meters and t is in seconds. Determine the angular momentum of the...
The vector position of a particle varies in time according to the expression - 6.20 - 9.00-2, where † is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any varlable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and...
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and velocity...
The vector position of a particle varies in time according to the expression - 3.80 i - 6.601; where is in meters and is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) - m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s? (c) Calculate the particle's position and...
4. The position vector of a particle of mass m varies with time according to the equation d2 i Find() and the net force acting on the particle at time dt Find also the power P due to the net force at time [10 marks] (ii) By using (), find the work done by the net force on the particle within the period t = 0 to t-r, where r is the time when the particle comes to rest. [10...
nts) The position vector of a particle of mass 2.5 kg as a function of time is given (6 7i+571), where is in meters and t is in seconds. Determine the angular momentum of the particle about the origin at t=2 seconds.
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