Answer:
0.01 s
Step-by-step explanation:
The following data were obtained from the question:
Mass (m) of baseball = 0.15 kg
Initial velocity (u) = +26 m/s
Final velocity (v) = 0 m/s
Force (F) applied = –390 N
Time (t) =?
Next, we shall determine the acceleration of the baseball. This can be obtained as follow:
Mass (m) of baseball = 0.15 kg
Force (F) applied = –390 N
Acceleration (a) of baseball =?
F = ma
–390 = 0.15 × a
Divide both side by 0.15
a = –390/0.15
a = –2600 m/s²
Finally, we shall determine the time taken for the baseball to stop. This can be obtained as follow:
Initial velocity (u) = +26 m/s
Final velocity (v) = 0 m/s
Acceleration (a) = –2600 m/s²
Time (t) =?
v = u + at
0 = 26 + (–2600 × t)
0 = 26 – 2600t
Collect like terms
0 – 26 = – 2600t
– 26 = – 2600t
Divide both side by – 2600
t = –26 / –2600
t = 0.01 s
Thus, it will take 0.01 s for the baseball to stop.