The gravitational acceleration is measured at 3.16 m/s² by the pendulum method.
We need to know about the pendulum to solve this problem. The periods of the pendulum depend on the length of the string and gravitational acceleration. It can be determined as
T = 2π√( l / g )
where T is periods, l is the length of string, and g is gravitational acceleration.
From the question above, we know that:
l = 2 m
T = 5 s
By substituting the following parameters, we get
T = 2π√( l / g )
5 = 2π√( 2 / g )
(5/2π)² = ( 2 / g )
g = 3.16 m/s²
Hence, the gravitational is measured at 3.16 m/s² by the pendulum method.
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Answer:
a)
two like charges always repel each other while two unlike charges attract each other. Since the spring stretches by 0.039 m, the charges have the same sign. both charges are positive(+) or Negative (-)
b)
both q1 and q1 are 8.35 × 10⁻⁶ C or -8.35 × 10⁻⁶ C
Explanation:
Given that;
L = 0.26 m
k = 180 N/m
x = 0.039 m
a)
we know that two like charges always repel each other while two unlike charges attract each other. Since the spring stretches by 0.039 m, the charges have the same sign.
b)
Spring force F = kx
F = 180 × 0.039
F = 7.02 N
Now, Electrostatic force F = Keq²/r²
where r = L + x = ( 0.26 + 0.039 )
we know that proportionality constant in electrostatics equations Ke = 9×10⁹ kg⋅m3⋅s−2⋅C−2
so from the equation; F = Keq²/r²
Fr² = Keq²
q = √ ( Fr² / Ke )
we substitute
q = √ ( 7.02 N × ( 0.26 + 0.039 )² / 9×10⁹ )
q = √ ( 7.02 N × ( 0.26 + 0.039 )² / 9×10⁹ )
q = √ (0.627595 / 9×10⁹)
q = √(6.97 × 10⁻¹¹)
q = 8.35 × 10⁻⁶ C
Therefore both q1 and q1 are 8.35 × 10⁻⁶ C or -8.35 × 10⁻⁶ C
Heat is added to the system.
The relation between thermal energy and temperature change in mass is given by the following expression
q = m•C•ΔT
where q is the quantity of heat transferred
m is the mass
C is the heat capacity of the material
ΔT is the temperature change
Answer:
A divergent boundary occurs when two tectonic plates move away from each other. Along these boundaries, earthquakes are common and magma (molten rock) rises from the Earth's mantle to the surface, solidifying to create new oceanic crust. When two plates come together, it is known as a convergent boundary.
Explanation:
