DYNAMICS AND KINETICS
Newtons Three Laws
Newton's First Law of Motion: "Every object in a state of uniform motions tends to remain in that state of motion unless an external force is applied to it."
Newton's Second Law of Motion:"The relationship between an object's mass m, its acceleration a, and the applied force F is F = ma. Acceleration and force are vectors; in this law the direction of the force vector is the same as the direction of the acceleration vector."
Newton's Third Law of Motion:"For every action, there is an equal and opposite force reaction."
Newton's First Law of Motion: "Every object in a state of uniform motions tends to remain in that state of motion unless an external force is applied to it."
Newton's Second Law of Motion:"The relationship between an object's mass m, its acceleration a, and the applied force F is F = ma. Acceleration and force are vectors; in this law the direction of the force vector is the same as the direction of the acceleration vector."
Newton's Third Law of Motion:"For every action, there is an equal and opposite force reaction."
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In badminton, a shuttlecock weights about 5g which is 5g which is 0.0005kg. If a shuttlecock that normally weights 5g compared to one that is 10g would the performance of the athlete and the force needed or speed be different? If the same force is applied to both shuttlecocks, the lighter one will have a greater velocity and a farther distance traveled than the heavier one. The reason behind this is because the heavier shuttlecock has a greater inertia due to its mass compared to the lighter shuttlecock. In order for the heavier shuttle to create an equal velocity as the lighter one, a greater force must be applied to it. The acceleration of an object is related to the equation Fnet = ma or a=Fnet/m, where Fnet is the net force, m is the mass of the object, and a is the acceleration of the object. If the mass of an object is greater, more force is needed for a greater acceleration, if the mass of an object is very little, then the force required will be less.
Fnet is the net force(N), m is the mass of the object(kg), and a is the acceleration(m/s^2).
Fnet is the net force(N), m is the mass of the object(kg), and a is the acceleration(m/s^2).
Example 1:
The force exerted on a shuttlecock by a badminton player is 0.16N. The weight of the shuttlecock is 5.0g. What is the acceleration of the shuttlecock?
F=ma
F=0.16N
m=5g = 0.005kg
a=?
0.16=(0.005)(a)
a=0.16/0.005
a=32m/s^2
∴ The acceleration of the shuttlecock is 32m/s^2
Example 2:
The force exerted on a shuttlecock by a badminton player is 0.16N. The weight of the shuttlecock is 10.0g. What is the acceleration of the shuttlecock?
F=ma
F=0.16N
m=10g = 0.01kg
a=?
0.16=(0.01)(a)
a=(0.16)(0.01)
a=16m/s^2
∴ The acceleration of the shuttle cock is 16m/s^2
In order for the heavier shuttlecock(10g) to have an equal acceleration as the lighter shuttlecock(5g), the force applied needs to be doubled.
F x 2 = (0.16)(2) = 0.32N
F=ma
F=0.32N
m=10g = 0.01kg
a=?
0.32=(0.01)(a)
a=(0.32)(0.01)
a=32m/s^2
∴ Now that the force applied to the heavier shuttlecock is doubled, the acceleration of the 10g shuttlecock is the same as the 5g shuttlecock.
The force exerted on a shuttlecock by a badminton player is 0.16N. The weight of the shuttlecock is 5.0g. What is the acceleration of the shuttlecock?
F=ma
F=0.16N
m=5g = 0.005kg
a=?
0.16=(0.005)(a)
a=0.16/0.005
a=32m/s^2
∴ The acceleration of the shuttlecock is 32m/s^2
Example 2:
The force exerted on a shuttlecock by a badminton player is 0.16N. The weight of the shuttlecock is 10.0g. What is the acceleration of the shuttlecock?
F=ma
F=0.16N
m=10g = 0.01kg
a=?
0.16=(0.01)(a)
a=(0.16)(0.01)
a=16m/s^2
∴ The acceleration of the shuttle cock is 16m/s^2
In order for the heavier shuttlecock(10g) to have an equal acceleration as the lighter shuttlecock(5g), the force applied needs to be doubled.
F x 2 = (0.16)(2) = 0.32N
F=ma
F=0.32N
m=10g = 0.01kg
a=?
0.32=(0.01)(a)
a=(0.32)(0.01)
a=32m/s^2
∴ Now that the force applied to the heavier shuttlecock is doubled, the acceleration of the 10g shuttlecock is the same as the 5g shuttlecock.
Once a shuttlecock is hit from the racket, you may feel a vibration within the strings of the racket at impact. This is Newton's third Law coming into play. "For every action force, there is an equal and opposite reaction force". The action force is the racket swinging in the direction to hit and make contact with the shuttlecock and the reaction force is the shuttlecock bouncing off the racket and back into the opposite direction