Answer:
option (c) - 10 j
Explanation:
F = (6 i + 4 j - 2 k) N
r1 = (1.5, 3, -4.5) m = (1.5 i + 3j - 4.5 k) m
r2 = (4, -2.5, - 3) m = (4 i - 2.5 j - 3 k) m
displacement, r = r2 - r1 = ( 2.5 i - 5.5 j + 1.5 k) m
Work done is defined as the dot product of force vector and teh displacement vector.
W = (6 i + 4 j - 2 k) . ( 2.5 i - 5.5 j + 1.5 k)
W = 15 - 22 - 3 = - 10 J
Every 10.0 seconds, a crest of the wave passes the pier. This means that the period of the wave is exactly 10.0 s:
which means that the frequency of the wave is
The wavelength of a wave is related to its frequency by the relationship
where v is the speed of the wave.
In this problem, v=5.6 m/s; if we use the previous formula, we find the wavelength of the wave:
It looks like the diagram is telling you that there is a net force of 8 N + 4 N = 12 N pointed to the right. By Newton's second law, the magnitude of the net force <em>F</em> is equal to the mass <em>m</em> times the acceleration <em>a</em> :
<em>F</em> = <em>m</em> <em>a</em>
12 N = (4 kg) <em>a</em>
<em>a</em> = (12 N) / (4 kg)
<em>a</em> = 3 m/s²
No it cannot because you would have to test it over and over again to make sure it was correct the first time.