Answer:
He has a speed of 16.60m/s after 35.0 meters.
Explanation:
The final velocity can be determined by means of the equations for a Uniformly Accelerated Rectilinear Motion:
(1)
The acceleration can be found by means of Newton's second law:
Where 
is the net force, m is the mass and a is the acceleration.
(2)
All the forces can be easily represented in a free body diagram, as it is shown below.
Forces in the x axis:
(3)
Forces in the y axis:
(4)
Solving for the forces in the x axis:
Where 
and 
:
Replacing in equation (2) it is gotten:
So the acceleration for the cyclist is 
, now that the acceleration is known, equation (1) can be used:
However, since he was originally at rest its initial velocity will be zero (
).
He has a speed of 16.60m/s after 35.0 meters
Momentum should be conserved. The momentum of both
objects must balance with their initial and final momentum.
Let m1 and v1 be the mass and velocity of the
bowling ball
And m2 and v2 be the mass and velocity of the
bowling pin
(m1v1)i + (m2v2)i = (m1v1)f + (m2v2)f
30 kg m/s + (1.5 kg)(0 m/s) = 13kg m/s + 1.5v2f
V2f = 11.33 m/s
<span>So the momentum = 1.5 kg(11.33 m/s) = 17 kg m/s</span>
Answer: 75.02 m
Explanation:
u = 0 ( starts from rest )
v = 50 m/s
t = 3 s
( i ) a = v - u / t
= 50 - 0 /3
= 16.67
( ii ) s = ut + 1/2 at²
= 0 × 3 + 1/2 × 16.67 × 3 × 3
= <u>75.02 m</u>
Hope this helps...
Answer:
600Hz
Explanation:
In electrical systems of alternating current, the harmonics are, as in acoustics, frequencies multiples of the fundamental working frequency of the system and whose amplitude decreases as the multiple increases. For example, if we have systems fed by the 50 Hz network, harmonics of 100, 150, 200, etc. may appear.
In our case having a fundamental wave of 100Hz, I can have harmonics of 200,300,400, ..., 600Hz
