Physics 201 Ch. 9-11 Quiz vz Fall 2017 obot iant flying robot. The first r robot
ID: 1787977 • Letter: P
Question
Physics 201 Ch. 9-11 Quiz vz Fall 2017 obot iant flying robot. The first r robot has a mass 4. Two flying robots are has a mass of 250 kg and is flying with a velocity of 15 of 300 kg and is flying horizontally with a velocity of 10 m/s. attempting to combine into a single g 10 m/s 15 m/s 25* a) What is the x component of the final velocity (vs) of the combined flying robot? (5 points) b) What is the y-component of the final velocity (wy) of the combined flying robot? (5 points) c) What is the total velocity and direction (angle) of the combined flying robot? (4 points)Explanation / Answer
(V1)x = 15 cos (25) = 15 x 0.906307787 = 13.59 m/s
(V1)y = 15 sin (25) = 15 x 0.422618262 = 6.33 m/s
(V2)x = 10 m/s
(V2)y = 0 m/s
Using momentum conservation
(a) In X direction
m1(V1)x + m2(V2)x = m1 + m2 (V")x
(250 x 13.59) + (300 x 10) = (250 + 300) x (V")x
(V")x = 11.63 m/s (Answer)
(b) In Y direction
m1(V1)y + m2(V2)y = m1 + m2 (V")y
(250 x 6.33) + (300 x 0) = (250 + 300) x (V")y
(V")y = 2.87 m/s (Answer)
(C) V = sqrt (V"x^2 + V"y^2)
V = sqrt ((11.63)^2 + (2.87)^2)
V = 11.97 m/s (Magnitude)
tan (a) = V"y / V"x = 2.87 / 11.63 = 0.24677558
a = 13.86 degree from x axis (Diection)