Physical Science
1 answer:
Answer:
Net force = 7.10 N
Direction of the resultant force = 45° from the horizontal in South-west direction
Explanation:
Forces acting on opposite directions horizontally are 10N and 5N.
Resultant force horizontally F(1) = 10 - 5 = 5N (in the direction of 10 N)
Forces acting on opposite directions vertically are 7N and 2N.
Resultant force vertically F(2) = 7 - 2 = 5N (in the direction of 7N)
Now resultant force of F(1) and F(2),
F =
F =
F = ≈ 7.10 N
From the triangle OBC,
tanθ =
tanθ =
θ = 45°
Therefore, magnitude of the resultant force = 7.10N
Direction of the resultant force = 45° from the horizontal in south west direction.
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The concepts necessary to solve this problem are framed in the expression of string vibration frequency as well as the expression of the number of beats per second conditioned at two frequencies.
Mathematically, the frequency of the vibration of a string can be expressed as
Where,
L = Vibrating length string
T = Tension in the string
Linear mass density
At the same time we have the expression for the number of beats described as
Where
= First frequency
= Second frequency
From the previously given data we can directly observe that the frequency is directly proportional to the root of the mechanical Tension:
If we analyze carefully we can realize that when there is an increase in the frequency ratio on the tight string it increases. Therefore, the beats will be constituted under two waves; one from the first string and the second as a residue of the tight wave, as well
Replacing for n and 202Hz for
The frequency of the tightened is 205Hz
The potential energy of the lemming is 1.53 J
Explanation:
The potential energy (PE) of an object is the energy possessed by the object due to its position in the Earth's gravitational field, and it is given by:
where:
m is the mass of the object
is the acceleration of gravity
h is the height of the object relative to the ground
In this problem:
m = 0.0780 kg is the mass of the lemming
We want to find the potential energy when the height is
h = 2.00 m
Therefore, we find:
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The kinetic energy K = 0.5 * m * v² must be equal to the potential energy U = m * g * h.
m mass
v velocity
h height
g = 9.81m/s²
The mass m cancels out:
0.5 * v² = g * h
Solve for height h and transform to distance traveled.
(sin (4°) = height / distance)
m mass
v velocity
h height
g = 9.81m/s²
The mass m cancels out:
0.5 * v² = g * h
Solve for height h and transform to distance traveled.
(sin (4°) = height / distance)