Answer:
Explanation:
a)Magnitude = 
84=
x= +50.67 or -50.67 units
b) We are given that the resultant is entirely in the -ve x direction which means that the y-component of the resultant is 0; It means that the y-component of the next vector = -ve of the y component of the initial vector i.e 67.
To make the magnitude 80 units in the negative x direction where the y component is 0, the x component must be -130.67(-50.67 - 80) as the x component is + 50.67units.
Magnitude = 
= 146.85 units
c) The direction vector = 67/146.85 i - 130.67/146.85 j where i corresponds to the vector in y direction and j corresponds to the vector in x direction. Or this vector is at an angle of 180 - 
i.e 152.85 degrees from the +ve x-axis.
Answer:
3 laws of planetary motion
Answer:
The speed of the truck must be 9.8 ft/s.
The speed of the truck must be 17 ft/s
Explanation:
First, let´s calculate the distance of the car relative to the intersection at time t = 2 s and t = 6 s:
d(t) = 1.1 t² + t +2
d(2) = 1.1 (2)² + 2 + 2 = 8.40 ft
d(6) = 1.1(6)² + 6 + 2 = 47. 6 ft
The car traveled (47.6 ft - 8.40 ft) 39.2 ft in 4 seconds.
Then, the speed of the truck must be (39.2 ft / 4 s) 9.8 ft/s to cover the same distance as the car in 4 seconds.
Now, let´s find the distance of the car to the intersection at time t = 7 and t = 7.1.
d(7) = 1.1(7)² + 7 + 2 = 62.9 ft
d(7.1) = 1.1(7.1)² + 7.1 + 2 = 64.6 ft
The distance traveled by the car in 0.1 s is ( 64.6 ft - 62.9 ft) 1.7 ft
Then the truck must travel with a velocity of (1.7 ft /0.1s) 17 ft/s to cover that distance in 0.1 s.
Answer:
168 Volts
Explanation:
Use Ohm's law:
(Voltage) = (Current) x (Resistance)
(Voltage) = 21 A * 8 Ohm = 168 V
The answer to this question is C
