Period of an ideal simple pendulum = 2π √(L / G)
1.87 = 2π √ (L / 9.81)
Divide each side by 2π : (1.87 / 2π) = √ (L / 9.81)
Square each side: (1.87 / 2π)² = L / 9.81
Multiply each side by 9.81 : L = (9.81) (1.87 / 2π)² = <em> 0.869 meter</em>
Choice 'D' is the closest one.
Answer:
the magnitude of the momentum of the two-ball system immediately after collision is 32.31 kg.m/s
Explanation:
Given;
mass of the first ball, m₁ = 1.0 kg
mass of the second ball, m₂ = 2.0 kg
initial velocity of the first ball, v₁ = 30 m/s due west
initial velocity of the second ball, v₂ = 6 m/s due north
From the principle of conservation of linear momentum;
the total momentum before collision = total momentum after collision
The westward momentum of the first ball, = m₁v₁ = 1 x 30 = 30 kg.m/s
The northward momentum of the second ball = m₂v₂ = 2 x 6 = 12 kg.m/s
The resultant momentum of the two balls;
R² = 30² + 12²
R² = 1044
R = √1044
R = 32.31 kg.m/s
Therefore, the magnitude of the momentum of the two-ball system immediately after collision is 32.31 kg.m/s
Complete Question
If a power utility were able to replace an existing 500 kV transmission line with one operating at 1 MV, it would change the amount of heat produced in the transmission line to
a four times the previous value.
b two times the previous value.
c one-fourth of the previous value.
d The amount of heat produced would remain the same.
e one-half of the previous value.
f none of these.
Answer:
Option C is the correct answer
Explanation:
When the voltage is 500kV
The power is
When the voltage is 1MV = 2 × 500kV
The power is
The ratio at which power is lost is
Here Resistance is constant
Hence the heat produced would be one fourth of the previous value
This question involves the concepts of the law of conservation of momentum and speed.
She moves with a speed of "0.41 m/s".
Applying the law of conservation of momentum to this situation, we get:
where,
m₁ = mass of shirley = 65 kg
m₂ = mass of tank = 12 kg
u₁ = initial speed of shirley = 0 m/s
u₂ = initial speed of tank = 0 m/s
v₁ = final speed of shirley = ?
v₂ = final speed of tank = 2.2 m/s
Therefore,
negative sign shows the opposite direction.
Learn more about the law of conservation of momentum here:
brainly.com/question/1113396?referrer=searchResults
The correct answer is the following.
The forces that act on the piano are: 2) gravitational force acting on the piano (piano's weight). 5) force of the floor on the piano (normal force). 7) force of Chadwick on the piano.
As we see in the picture that I have attached is Chadwick pushing the piano in a horizontal plane. So Chadwick is applying a force that produces an acceleration. It is his force on the piano plus the acceleration of the weight of the piano, it's a gravitational force. This is pure physics applied to an object.