A(n) 685 N man stands in the middle of a
frozen pond of radius 14.6 m. He is unable to get to the other side because of a
lack of friction between his shoes and the
ice. To overcome this difficulty, he throws his
1.3 kg physics textbook horizontally toward
the north shore, at a speed of 5 m/s.
The acceleration of gravity is 9.81 m/s
2
.
How long does it take him to reach the
south shore?
Answer in units of s
To determine how long it takes for the man to reach the south shore, we need to analyze the horizontal motion of the thrown textbook. Since there is no friction, the horizontal motion of the textbook is not affected by the man standing on the ice.
Step 1: Find the horizontal distance covered by the textbook
The horizontal distance covered by the textbook will be the same as the distance between the man and the south shore. We can find this using the formula for horizontal distance:
Distance = Speed × Time
Given:
Speed = 5 m/s
Distance = Radius of pond = 14.6 m
We rearrange the formula to solve for time:
Time = Distance / Speed
Time = 14.6 m / 5 m/s = 2.92 s
Therefore, it will take the man 2.92 seconds to reach the south shore.