Answer:
420
Explanation:
420 because 120 x 3 = 360
120/2 = 60 and 360 + 60 = 420
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Answer:
Magnitude of vector A = 0.904
Explanation:
Vector A , which is directed along an x axis, that is

Vector B , which has a magnitude of 5.5 m


The sum is a third vector that is directed along the y axis, with a magnitude that is 6.0 times that of vector A 
Comparing we will get

Substituting in 

So we have

Magnitude of vector A = 0.904
Answer:
a) v = 88.54 m/s
b) vf = 26.4 m/s
Explanation:
Given that;
m = 1400.0 kg
a)
by using the energy conservation
loss in potential energy is equal to gain in kinetic energy
mg × ( 3200-2800) = 1/2 ×m×v²
so
1400 × 9.8 × 400 = 0.5 × 1400 × v²
5488000 = 700v²
v² = 5488000 / 700
v² = 7840
v = √7840
v = 88.54 m/s
b)
Work done by all forces is equal to change in KE
W_gravity + W_non - conservative = 1/2×m×(vf² - vi²)
we substitute
1400 × 9.8 × ( 3200-2800) - (5 × 10⁶) = 1/2 × 1400 × (vf² -0 )
488000 = 700 vf²
vf² = 488000 / 700
vf² = 697.1428
vf = √697.1428
vf = 26.4 m/s
Expand each vector into their component forms:

Similarly,


Then assuming the resultant vector
is the sum of these three vectors, we have


and so
has magnitude

and direction
such that
