A spherical bowling ball with mass m = 4.1 kg and radius R = 0.117 m is thrown down the lane with an initial speed of v = 8.9 m/
s. The coefficient of kinetic friction between the sliding ball and the ground is ? = 0.25. Once the ball begins to roll without slipping it moves with a constant velocity down the lane.
1.What is the magnitude of the angular acceleration of the bowling ball as it slides down the lane?
2.What is magnitude of the linear acceleration of the bowling ball as it slides down the lane?
3.How long does it take the bowling ball to begin rolling without slipping?
4.How far does the bowling ball slide before it begins to roll without slipping?
1.What is the magnitude of the angular acceleration of the bowling ball as it slides down the lane?
2.What is magnitude of the linear acceleration of the bowling ball as it slides down the lane?
3.How long does it take the bowling ball to begin rolling without slipping?
4.How far does the bowling ball slide before it begins to roll without slipping?
1 answer:
Answer:Given mass = 4.1kg
Radius = 0.0117m
Velocity V = 8.4m/s
Coefficient of friction = 0.25
Explanation: Below is an attached solution to the problem stated above.
1. The angular acceleration is equal to 524rad/s^2
2. The linear acceleration is equal to 2.45m/s^2
3.the time it takes the ball to begin rolling = 0.98s
4. The distance the ball slides before it begins to roll = 7.05m
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Explanation:
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The difference between the vectors is:
The magnitude of is:
The angle makes with the horizontal positive direction is:
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Calculate:
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The division cannot be calculated because the denominator is zero. We need to estimate the correct angle by looking at the components of the vector. Since the x-coordinate is zero and the y-coordinate is negative, the vector points downwards (south), thus the angle must be -90° or 270° if the range goes from 0° to 360°.
The magnitude of vector d is 16 and the angle with the x-axis is 270°
Answer:
1.7 m
Explanation:
= Velocity of ball in x direction = 4.47 m/s
= Velocity of ball in y direction = 0
g = Acceleration due to gravity =
t = Time taken
= Vertical displacement = 0.7 m
Horizontal displacement is given by
The passenger should throw the ball 1.7 m in front of the bucket.