4. A ball bearing rolls with constant velocity on a tabletop 0.950 m high. It rolls off and hits theground 0.35m from the edge of the table. How fast was the ball rolling?
Question
- A ball bearing rolls with constant velocity on a tabletop 0.950 m high. It rolls off and hits theground 0.35m from the edge of the table. How fast was the ball rolling?
Solution
To solve this problem, we can use the equations of motion.
Step 1: Find the time it takes for the ball to hit the ground.
We know that the height of the table is 0.950 m and the acceleration due to gravity is 9.8 m/s². We can use the equation of motion h = 0.5gt² to find the time it takes for the ball to hit the ground.
0.950 = 0.5 * 9.8 * t² t² = 0.950 / (0.5 * 9.8) t = sqrt(0.950 / (0.5 * 9.8)) t = 0.44 seconds
Step 2: Find the velocity of the ball.
We know that the ball travels 0.35 m in 0.44 seconds. We can use the equation v = d/t to find the velocity of the ball.
v = 0.35 / 0.44 v = 0.80 m/s
So, the ball was rolling at a speed of 0.80 m/s.
Similar Questions
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3. A ball rolls off of a table with a speed of 3.2 m/s. The table is 1.5 m high.a) When does the ball hit the ground? (Answer=0.55 s)b) How far away from the base of the table does the ball travel? (Answer=1.8 m)c) With what speed does the ball hit the floor? (Answer=6.3 m/s)
A ball rolls across a floor with an acceleration of 0.100 m/s2 in a direction opposite to its velocity.The ball has a speed of 4.00 m/s after rolling a distance 6.00 m across the floor.What was the initial speed of the ball?Express your answer in m/s.
1. A marble rolled off of a 1-m high tabletop with an initial horizontal velocity of 10 m/s.a) Determine its final velocity.b) How much time will it take for the marble to hit the floor?c) How far will the ball head forward before reaching the floor?2. A ball is hurled from a horizontal ground with a speed of 45 m/s at an angle of 35 0 from thehorizontal.a) What is the final horizontal velocity of the ball after 3.5 seconds?b) How much time will it take for it to reach its highest point?c) How much time will it take for it to reach the ground?d) What is the maximum height reached by the ball?e) What is the maximum horizontal distance covered by the ball?
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