To solve this problem, apply the concepts related to Hooke's law. From there we will find the spring constant. Subsequently, applying Energy balance, which includes gravitational potential energy, elastic potential energy and kinetic energy, we will bury the system's energy. Finally, using the displacement expression for the simple harmonic movement, we will find the expression that describes the system.
PART A) The expression for the spring force is
Here,
k = Spring constant
x = Displacement
Rearranging to find the spring constant we have that
PART B ) The gravitational potential energy acts on the spring holds the cart is zero. Since cart is placed in the equilibrium position. The kinetic energy of the cart is zero. Therefore the expression for the total energy is,
PART C) The expression for the angular frequency is
The equation for the motion of the cart is
Replacing,
As per the question there are two ohmic devices.
The first ohmic device is a good conductor and the second one is a good insulator.
As per Ohm's law the current flowing through a conductor is directly proportional to the potential difference maintained across the two ends of a conductor at constant temperature and pressure. If V is the potential and I is the current flow through these Ohmic devices,then mathematically it can be written as-
V∝ I [ at constant temperature and pressure]
⇒V= IR
Here R is the proportionality constant called resistance of the material.
Hence the resistance R is calculated as -
Now a graph is plotted taking potential V on X-axis and current I along Y- axis.
The graph will be a straight line for conductor and will be a curve depending on the type of insulator.
The slope of this graph will give the resistance of the material.
An insulator is a substance through which current flow is very low as its resistance is very high.Hence the slope of the V-I curve is very large.
A conductor is that substance through which current is flown easily as the resistance of conductor is very low.Hence the slope of V-I curve is smaller,
Explanation:
6. Converge or come together
7. convex
<em>Iron, and to a lesser degree, steel, can only become magnetised by passing an electrical current through it (an electromagnet). So a steel ship does not become magnetised in the accepted sense during construction. </em>
<span><em>However, any large mass of iron will affect the accuracy of a magnetic compass, causing it to deviate wildly from magnetic North. This problem was encountered when iron ships were first constructed in the mid-19 Century. It was overcome by mounting the compass in a 'binnacle', a housing containing two large soft iron balls either side of the compass itself, which counteracted the effect of the hull and balanced the compass so that it read correctly</em></span>
Answer:
The answer to your question is: vo = 25 m/s
Explanation:
data
a = -7.5 m/s²
d = 42 m
vf = 0 m/s
vo = ?
Formula
vf² = vo² - 2ad
Substitution
0² = vo² - 2(7.5)(42)
We clear vo from the equation
vo² = 2(7.5)(42)
vo² = 630 simplifying
vo = 25 m/s result
