Answer:
a) 
, b) 
, c) 
Explanation:
a) The system have a simple armonic motion, whose position function is:
The velocity function is determined by deriving the position function in terms of time:
The acceleration function is found by deriving again:
Let assume that 
. The following nonlinear system is built:
System can be reduced by divinding the second and third expressions by the first expression:
Now, the last expression is divided by the first one:
b) The mass of the block is:
c) The phase angle is:
The amplitude is:
Answer: 0.5 mm
Explanation: The smallest division that a common ruler has is 1 mm so any measurement taken is approximately accurate to a mm.
Uncertainty of any measuring instrument is the inaccuracy or lost of precision that occur due to its less divisions in an instrument
Uncertainty= Least Count /2
Uncertainty= 1 mm /2
Uncertainty= 0.5 mm
it means that measurement can be 2.3cm ± 0.5mm
Answer:
<em>a. The cart's acceleration is 2 m/s^2</em>
<em>b. The cart will travel 100 m</em>
<em>c. The speed is 20 m/s</em>
Explanation:
a. The acceleration of the cart can be calculated using Newton's second law:
F = m.a
Solving for a:
The cart has a mass of m=15 Kg and is applied a net force of F=30 N, thus:
b.
Now we use kinematics to find the distance and speed:
The cart starts from rest (vo=0). The distance traveled in t=10 seconds is:
The cart will travel 100 m
c.
The final speed is calculated by:
The speed is 20 m/s
0.09 / 6.37 x 10⁶ = 1.4129 x 10⁻⁸
The radius of the baseball is 1.4129 x 10⁻⁸ the radius of the Earth.
