m = mass of pellet = 2.10 x 10⁻² kg
x = compression of spring at the time launch = 9.10 x 10⁻² m
h = height gained by the pellet above the initial position = 6.10 m
k = spring constant
using conservation of energy
spring potential energy = gravitational potential energy of pellet
(0.5) k x² = m g h
inserting the values
(0.5) k (9.10 x 10⁻²)² = (2.10 x 10⁻²) (9.8) (6.10)
k = 303.2 N/m
Because there is no record of all things. As we have partially unknow information, it can never be held as a fact.
Answer:the hare slept for 1 hr 55minutes.
Explanation: distance is changed to meters = 520m
Speed=distance/time
Speed of tortoise is 0.075m/s=520m/t
Crops multiplying t= 520/0.075 = 6933.3 seconds.
Speed for hare 16.7m/s =260m/t
ie 260m is half of the distance.
t =15.56seconds
Therefore the time slept by the hare = 6933.3- 15.56= 6917.74 seconds.
Converting to hours = 1hr. 55minutes is the time the hare slept.
Answer:
percentage by volume of the solute = 45%
Explanation:
The percentage by volume of the solute in a solution is the percentage of the volume of the solute as against the overall volume of the solution.
In this example,
volume of solution = 300mL
volume of solute = 135mL
% volume of solute = (volume of solute ÷ volume of solution) × 100
= (135 ÷ 300) × 100
= 0.45 × 100 = 45%
∴ percentage by volume of the solute = 45%
Answer:
<em>A. 751 ohm</em>
Explanation:
Impedance: <em>This is the total opposition to the flow of current in an a.c circuit by any or all of the three circuit elements ( R, L, C). The unit of impedance is Ohms (Ω). The impedance in a parallel circuit is gives a s</em>
<em>Z = RXₐ/√(Xₐ² + R²)............................... Equation 1</em>
<em>Where Z = The impedance of the a.c circuit, Xₐ = capacitive reactance, R = resistance.</em>
<em>Given: Xₐ = 962 Ω, R = 1200 Ω</em>
<em>Substituting these values into equation 1,</em>
<em>Z = 962×1200/√(962² + 1200²)</em>
<em>Z = 1154400/√(925444 + 1440000)</em>
<em>Z = 1154400/√(925444+1440000</em>
<em>Z = 1154400/1538</em>
<em>Z = 750.59 Ω</em>
<em>Z≈ 751 Ω</em>
<em>Therefore the impedance of the circuit = 751 Ω</em>
<em>The right option is A. 751 ohm</em>