Answer:
f = 6.37 Hz, T = 0.157 s
Explanation:
The expression you have is
y = 5 sin (3x - 40t)
this is the equation of a traveling wave, the general form of the expression is
y = A sin (kx - wt)
where A is the amplitude of the motion, k the wave vector and w the angular velocity
Angle velocity and frequency are related
w = 2π f
f = w / 2π
from the equation w = 40 rad / s
f = 40 / 2π
f = 6.37 Hz
frequency and period are related
f = 1 / T
T = 1 / f
T = 1 / 6.37
T = 0.157 s
Answer: static electricity
Explanation:
When the plastic ruler is rubbed, friction opposes the motion and causes the transfer of electron from one surface to another such that plastic becomes negatively charged. When ruler is brought nearer to the paper, it induces the positive charge in the piece of paper.
Answer:
The value is 
Explanation:
Generally the thermal efficiency is mathematically represented as

substituting [ 627°C + 273 = 900K ] for
and [ 90°C + 273 = 333K ] for 
So

=> 
Answer:
B: Process #1: Energy is decreasing Process#2: Energy is increasing
Answer:
S = 40.8m
Explanation:
<u>Given the following data;</u>
Initial velocity, u = 2m/s
Acceleration, a = 1.6m/s²
Time, t = 6secs
Required to find the displacement
Displacement, S = ?
The displacement of an object is given by the second equation of motion;

Where;
- S represents the displacement measured in meters.
- u represents the initial velocity measured in meters per seconds.
- t represents the time measured in seconds.
- a represents acceleration measured in meters per seconds square.
<em>Substituting into the equation, we have;</em>


S = 40.8m
<em>Therefore, the displacement of the skateboarder during this game is 40.8 meters. </em>