1. The sum of vectors A and B is A + B = C , where vector C has non-zero magnitu

Question

1. The sum of vectors A and B is A + B = C, where vector C has non-zero magnitude. Which of the following relationships between magnitudes is not possible. Drawing a diagram may help.

A.  A + B = C

B. A + B < C

C. A + B > C

D. A - B = C

2. Vector B has magnitude 5.2 m and points 29o below the negative x-axis in the 3rd quadrant as shown. What are the x and y components of B?

A.  Bx = 4.5 m; By = 2.5 m
B. Bx = -4.5 m; By = -2.5 m
C.  Bx = -2.5 m; By = -4.5 m
D. Bx = 2.5 m; By = -4.5 m

3.

A 958-N rocket is coming in for a vertical landing. It starts with a downward speed of 28 m/s and must reduce its speed to 0 m/s in 8.0 s for the final landing. During this landing maneuver, what must be the thrust due to the rocket's engines?

A.  350 N

B.  700 N

C. 1300 N

D.  1500 N

Please answer will rate immediately !

Explanation / Answer

1.(c) A+B <C , is not possible.

A+B =C when angle between them is zero.

A-B=C when angle between them is 180 degree

A+B>C for all other Angles between A and B vectors.

2.Bx = -5.2 cos(29) = -4.5 m

By =-5.2 sin(29) = -2.5 m

3.)

Weight = 958 N

mass =958/9.8 = 97.75 kg

a=(v-u)/t =(0-28)/8

= -3.5 m/s2

Force required to stop = ma = 350N (approx)

Net thrust =350+weight = 1300N (approx)

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