A(n) 775 N man stands in the middle of a
frozen pond of radius 11.2 m. He is un-
able 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 6 m/s.
The acceleration of gravity is 9.81 m/s2 .
How long does it take him to reach the
south shore?
Answer in units of s
To find the time it takes for the man to reach the south shore, we need to consider the horizontal motion of the thrown textbook.
First, let's find the initial horizontal velocity of the textbook. Since the man throws the textbook horizontally towards the north shore, the initial horizontal velocity is equal to the speed of the book, which is 6 m/s.
Next, we can determine the horizontal distance that the textbook travels until it reaches the south shore. This distance is equal to the radius of the pond, which is 11.2 m.
Now, we can use the formula for horizontal distance (d) to find the time it takes for the book to travel this distance:
d = v * t
Rearranging the formula, we have:
t = d / v
Substituting the known values:
t = 11.2 m / 6 m/s
Calculating this:
t ≈ 1.86667 seconds
Therefore, it takes approximately 1.87 seconds for the textbook to reach the south shore.