The acceleration of the bottle is downward
Explanation:
When an object is in free fall (=only the force of gravity is acting on it), its acceleration is equal to the acceleration of gravity.
In fact, the only force acting on the object is the force of gravity, whose magnitude is:
where
m is the mass of the object
is the acceleration of gravity
According to Newton's second law, the net force on the object is equal to the product between its mass (m) and its acceleration (a), so
By combining the two equations, we get
Therefore, the acceleration of any object in free fall (and so, also of the bottle in the problem) is .
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Explanation:
Starting position at x = 16m
Ending position at x = -25m
Time of flight = 4s
Unknown:
Distance flown = ?
Displacement = ?
Speed = ?
Velocity = ?
Solution:
To find the distance flown, we should understand that the body is moving on the x - plane;
So distance = 16 + 25 = 41m
Displacement is 41m to the left or -x axis
Speed is the distance divided by the time taken;
Speed = =
= 10.25m/s
Velocity is 10.25m/s along -x axis
Answer:
Explanation:
It is given that,
Angular speed of the football spiral,
Radius of a pro football, r = 8.5 cm = 0.085 m
The velocity is given by :
v = 3.68 m/s
The centripetal acceleration is given by :
So, the centripetal acceleration of the laces on the football is . Hence, this is the required solution.