Answer:
The displacement of the pendulum from equilibrium position is 0.855 of the length of the pendulum.
Explanation:
A pendulum's motion can be modelled as a simple harmonic motion and the differential equation describing simple harmonic motion is given as
(d²x/dt²) + (k/m)x = 0
(d²x/dt²) = acceleration of the pendulum
x = displacement of the pendulum from equilibrium position
k = spring constant of the pendulum = (mg/L) = (0.006×9.8/L) = (0.0588/L)
L = length of the pendulum
m = mass of the pendulum = 6 g = 0.006 kg
(k/m) = (g/L) = (9.8/L)
To calculate the pendulum's acceleration
Initial velocity of the car = 0 mph = 0 m/s
Final velocity of the car = 60 mph = 26.822 m/s
Time taken for velocity change = 3.2 s
Acceleration = (Δv/Δt) = (26.822/3.2) = 8.382 m/s²
(d²x/dt²) + (k/m)x = 0
Becomes
8.383 + (9.8/L)x = 0
(9.8x/L) = -8.382
9.8x = -8.382L
x = -(8.382/9.8) = -0.855 L (the minus sign shows the direction of movement of the pendulum)
Ignoring the sign and only focusing on the magnitude of the pendulum's displacement from equilibrium position, the displacement of the pendulum from equilibrium position is 0.855 of the length of the pendulum.
Hope this Helps!!!
Answer:
the answer is C
Explanation:
The car, first is at rest and if you don't accelerate it won't move. When to hit the gas it will accelerate from rest
Answer:
Explanation:
The mass of the man can be found by using the formula
f is the force
a is the acceleration
From the question we have
We have the final answer as
<h3>50 kg</h3>
Hope this helps you
Answer:
D) 30°
Explanation:
This is in accordance to the Gauss Law which states that, <em>the electric flux through any closed surface is equal to the total charge enclosed by the surface divided by the permittivity of free space.</em>
Mathematically given as:
where
θ = the angle between the electric field lines and area vector normal to the surface.
When the area vector has formed an angle of 60° then the plane is at 30° and we know <em>cos 60° = 0.5</em>
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Answer:
12.5J
Explanation:
Given parameters:
Mass of bucket = 1.7kg
Height = 75cm = 0.75m
Unknown;
Work done on the bucket by the person = ?
Solution:
To solve this problem, we use the work done equation;
Work done = force x distance = mgh
m is the mass
g is the acceleration due to gravity
h is the height
Now, insert parameters and solve ;
Work done = 1.7 x 9.8 x 0.75 = 12.5J
