1. (15 points) Small cart is rolling down an inclined track and accelerating. It fires a ball straight out of the cannon as it m
1 answer:
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Taking right movement to be positive means leftward movement is negative.
Hence we have a deceleration of
Using this 'suvat' equation
we can determine the initial velocity
Hence the initial velocity is 13.0 meters per seconds
Hence we have a deceleration of
Using this 'suvat' equation
we can determine the initial velocity
Hence the initial velocity is 13.0 meters per seconds
A) 140 degrees
First of all, we need to find the angular velocity of the Ferris wheel. We know that its period is
T = 32 s
So the angular velocity is
Assuming the wheel is moving at constant angular velocity, we can now calculate the angular displacement with respect to the initial position:
and substituting t = 75 seconds, we find
In degrees, it is
So, the new position is 140 degrees from the initial position at the top.
B) 2.7 m/s
The tangential speed, v, of a point at the egde of the wheel is given by
where we have
r = d/2 = (27 m)/2=13.5 m is the radius of the wheel
Substituting into the equation, we find