What are earths two main motions called
1 answer:
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Answer:
Explanation:
The torque of a force is given by:
where
F is the magnitude of the force
d is the distance between the point of application of the force and the centre of rotation of the system
is the angle between the direction of the force and d
In this problem, we have:
, the force
, the distance of application of the force from the centre (0,0)
, the angle between the direction of the force and a
Therefore, the torque is
To solve this problem it is necessary to apply the concepts related to the Rotational Force described from the equilibrium and Newton's second law.
When there is equilibrium, the Force generated by the tension is equivalent to the Force of the Weight. However in rotation, the Weight must be equivalent to the Centrifugal Force and the tension, in other words:
Where
Angular velocity is equal to the Period, at this case Earth's period
Radius of the Earth
m = mass
= Force of Tension
Newton's second law
Replacing and re-arrange to find the Tension we have,
Therefore when Sneezy is on the equator he is in a circular orbit with a Force of tension of 503.26N
Answer:
The speed of player is given by
Explanation:
The time of flight for a projectile motion is given by
(i)
where t is the time of flight, v is the initial speed, and α is the angle.
Now the person must also reach the impact point of ball in the same time as above.
Now the total distance D the player needs to cover is basically R horizontal range of projectile minus the distance d, range R is given by,
Now the distance the player must cover is given by
D= R-d
D= - d
(ii)
Now the average speed of player is given by
(iii)
Replacing the values of D and T from eq. (i) and (ii) in eq. (iii).