Respuesta :
Answer:
The answer to your question is:
Explanation:
Forehead = 6.0 kN
Cheekbone = 1.3 kN
m = 140 g = 0.14 kg
v = 30 m/s
t = 0.0015 s
a)
acceleration = v/t
a= 30/0.0015
a = 20000 m/s2
b)
F = ma
F = (0.14)(20000)
F = 2800 N = 2.8 KN
c) The force applied by the ball on my head must be the calculated (F = 2.8kN).
d)
My forehead is not in danger because 2.8kN < 6.0 kN
My cheekbone is in danger because 2.8 kN > 1.3 KN
Force applied by the ball is just 2800 N, therefore, there is no danger of a fracture if the ball hits you in the forehead.
What is the force?
Force is the product of the mass and the acceleration. therefore,
Force = mass x acceleration
A.) We know that the velocity of the ball is 30 m/s while the time taken to reach the velocity of the ball to zero(rest) is 0.0015 s. Therefore, we will use the first equation of motion,
[tex]a = \dfrac{v-u}{t}[/tex]
where u and v are the initial and the final velocity of the object and t is the time. therefore, the acceleration of the ball can be written as,
[tex]a = \dfrac{30-0}{0.0015} = 20,000\rm\ m/s^2[/tex]
B.) The magnitude of the force that stops the baseball
The magnitude of the force that stops the baseball is can be calculated using Newton's first law of motion, therefore,
Force = mass x acceleration
[tex]F = \text{Mass of the ball} \times \text{Acceleration of the ball}\\\\F = 0.140 \times 20000\\\\F = 2800\rm \ N[/tex]
C.) The force applied by the head,
We know that according to Newton's Law of motion every force has an equal magnitude and opposite direction force. therefore, the Force applied by the head on the ball is the force applied by the ball on the head. Thus, the force applied by the head is 2800 N.
D.) We know that our head can withstand a force of 6 kN(6000 N), while the force applied by the ball is just 2800 N, therefore, there is no danger of a fracture if the ball hits you in the forehead.
Learn more about Force:
https://brainly.com/question/26115859
