A construction worker uses a board and log as a lever to lift a heavy rock. He applies a force of 20 N without the use
1 answer:
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Answer:
<em>The resultant velocity has a magnitude of 38.95 m/s</em>
Explanation:
<u>Vector Addition</u>
Given two vectors defined as:
The sum of the vectors is:
The magnitude of a vector can be calculated by
Where x and y are the rectangular components of the vector.
We have a plane flying due west at 34 m/s. Its velocity vector is:
The wind blows at 19 m/s south, thus:
The sum of both velocities gives the resultant velocity:
The magnitude of this velocity is:
d = 38.95 m/s
The resultant velocity has a magnitude of 38.95 m/s
(a) 3.5 Hz
The angular frequency in a spring-mass system is given by
where
k is the spring constant
m is the mass
Here in this problem we have
k = 160 N/m
m = 0.340 kg
So the angular frequency is
And the frequency of the motion instead is given by:
(b) 0.021 m
The block is oscillating up and down together with the upper end of the spring. The block will lose contact with the spring when the direction of motion of the spring changes: this occurs when the spring is at maximum displacement, so at
x = A
where A is the amplitude of the motion.
The maximum displacement is given by Hook's law:
where
F is the force applied initially to the spring, so it is equal to the weight of the block:
k = 160 N/m is the spring constant
Solving for A, we find