Answers:
a) 13 s
b) 0.362 m/s
Explanation:
We have the following data:
is the mass of the mass damper
is the length of the pendulum
is the amplitude
<h3>a) Period of oscillation:</h3>
This can be solved by the following equation:
(1)
Where:
is the period
is the acceleration due gravity
(2)
(3)
<h3>b) Maximum Velocity:</h3>
The velocity in a pendulum is maximum when the pendulum is in its mean position and the amplitude is maximum. So, the equation in this case is:
(4)
(5)
Answer:
a) 3.0 x 10¹⁰ J
b) 7.75 x 10³ m/s
Explanation:
a)
ΔV = potential difference between cloud and the ground = 1.0 x 10⁹ Volts
Q = Amount of charge transferred = 30 C
ΔU = Change in energy transferred
Change in energy transferred is given as
ΔU = Q ΔV
ΔU = (30) (1.0 x 10⁹)
ΔU = 3.0 x 10¹⁰ J
b)
v₀ = initial speed of the automobile = 0 m/s
v = final speed of the automobile = ?
m = mass of automobile = 1000 kg
Using conservation of energy
ΔU = (0.5) m (v² - v₀²)
3.0 x 10¹⁰ = (0.5) (1000) (v² - 0²)
v = 7.75 x 10³ m/s
Answer:
The buoyant force on the wood = 7.652 N
Explanation:
According to the principle of flotation, a body floats when the upthrust exerted upon it by the fluid n which it floats equals the weight of the body.
W = U ............... Equation.
Where W = weight of the wood, U = Upthrust or buoyant force.
Recall That,
Density = mass/volume
Mass = Density×volume
m = D×V........................ Equation 2
Where m = mass of the wood, V = Volume of the wood, D = Density of the wood.
But
Volume of a cube = a³
V = a³ where a = length of the cube.
V = 10³ = 1000 cm³.
Given: V = 1000 cm³ D = 0.780 g/cm³
Substituting these values into equation 2,
m = 1000(0.780)
m = 780 g
m = 0.78 kg.
But W = mg
Where m = 0.78 kg, g = 9.81 m/s²
W = 0.78(9.81)
W = 7.652 N.
Since W = U = 7.652 N.
U = 7.652 N
Therefore the buoyant force on the wood =7.652 N
Answer:
At resonance impedance of series RLC circuit is minimum and equal to resistance of the circuit
Explanation:
Let the resistance of the series RLC circuit is R
Capacitive reactance of the circuit is and inductive reactance of the circuit is
We know that impedance of the series RLC circuit is given by , here R is the resistance is inductive reactance and is capacitive reactance
At resonance capacitive reactance will be equal to inductive reactance
So
So impedance will become
So from above calculation we can say that impedance of series RLC circuit is minimum and equal to resistance of the circuit
Answer:
The answer is below
Explanation:
Jenny and anne wanted to see who could throw the ball the hardest. they decided to each throw a ball against the wall as hard as they could and measured how far the ball rolled away from the wall. what might be the variables in this experiment;
Solution:
There are different type of collisions. In an inelastic collision, momentum is conserved and there is loss in kinetic energy while in an elastic collision, momentum is not conserved and there is no loss in kinetic energy.
During inelastic collision, the objects stick together while during an elastic collision, the objects separate.
When the ball is thrown against the stationary wall, there is momentum due to the force of impact. The distance at which the ball is rolled away from the wall depends on:
a) mass of the ball, b) velocity of the ball, c) mass of the wall d) type of collision (elastic or inelastic)