Answer:
Explanation:
When the central shaft rotates , the seat along with passenger also rotates . Their rotation requires a centripetal force of mw²R where m is mass of the passenger and w is the angular velocity and R is radius of the circle in which the passenger rotates.
This force is provided by a component of T , the tension in the rope from which the passenger hangs . If θ be the angle the rope makes with horizontal ,
T cos θ will provide the centripetal force . So
Tcosθ = mw²R
Tsinθ component will balance the weight .
Tsinθ = mg
Dividing the two equation
Tanθ = 
Hence for a given w , θ depends upon g or weight .
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Explanation:
Answer:
7.0 m
Explanation:
Step 1: Given data
Initial speed of the ball (u): 1.8 m/s
Acceleration (a): 6.1 m/s²
Final speed of the ball (v): 9.4 m/s
Step 2: Calculate the displacement (s) of the ball
The ball is moving with a uniformly accelerated rectilinear motion. We can calculate the displacement using the following suvat equation.
v² = u² + 2 × a × s
s = (v² - u²)/2 × a
s = [(9.4 m/s)² - (1.8 m/s)²]/2 × 6.1 m/s²
s = 7.0 m