Final answer:
The weight of the ball is 1.96 N. When released as a pendulum at an angle of 6.80 degrees, it will oscillate back and forth with a period that can be calculated using the formula: period = 2π x √(length/g). The time it takes for 18 oscillations can be found by multiplying the period by 18.
Step-by-step explanation:
The weight of the ball can be calculated using the formula:
weight = mass x acceleration due to gravity
Given that the mass of the ball is 200 g, which is equal to 0.2 kg, and the acceleration due to gravity is approximately 9.8 m/s^2, the weight of the ball would be:
weight = 0.2 kg x 9.8 m/s^2 = 1.96 N
When the ball is pulled to an angle of 6.80 degrees and released as a pendulum, it will oscillate back and forth. The time it takes for one complete oscillation, called the period, can be calculated using the formula:
period = 2π x √(length/g)
Where length is the length of the string and g is the acceleration due to gravity. Given that the length of the string is not provided, it is not possible to calculate the exact period. However, if the length of the string is known, the period can be calculated using the given formula.
Lastly, the time it takes for 18 oscillations can be calculated by multiplying the period by 18.