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Answer:
160N/m
Explanation:
According to Hooke's law which states that the extension of an elastic material is directly proportional to the applied force provided that the elastic limit is not exceeded. Mathematically,
F = ke where
F is the applied force
k is the spring constant
e is the extension
From the formula k = F/e
Since the body accelerates when the block is released, F = ma according to Newton's second law of motion.
The spring constant k = ma/e where
m is the mass of the block = 0.4kg
a is the acceleration = 8.0m/s²
e is the extension of the spring = 2.0cm = 0.02m
K = 0.4×8/0.02
K = 3.2/0.02
K = 160N/m
The spring constant of the spring is therefore 160N/m
Answer:
The object will accelerate in the upward direction.
Explanation:
To know the direction in which the object will accelerate, we shall determine the net force acting on the object. This can be obtained as follow:
Upward force (Fᵤ) = 300 N
Downward force (Fₔ) = 200 N
Net force (Fₙ) =?
Fₙ = Fᵤ – Fₔ
Fₙ = 300 – 200
Fₙ = 100 N upward
Thus, the net force acting on the object is 100 N in the upward direction. This implies that the object will accelerate in the upward direction because the net force acting on the object is in the upward direction.
The classical physics works on the Newton's laws of motion. It is applicable on heavenly bodies which are governed by the gravitational force. On the other hand, Quantum Physics is applicable for very low mass and sized bodies like electron, protons etc. The classical physics would accurately describe the motion of satellite moving with speed 7500 m/s using the following formula:
where G is the gravitational constant, M is the mass of the planet and v is the orbital speed. Then radius of the orbit can be described by this formula.
