The magnitude of the average force that the ball exerts against his glove is 600 N
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Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.
[tex]\boxed {F = ma }[/tex]
F = Force ( Newton )
m = Object's Mass ( kg )
a = Acceleration ( m )
Let us now tackle the problem !
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Given:
mass of ball = m = 0.15 kg
initial speed of ball = u = 40 m/s
final speed of ball = v = 0 m/s
distance = d = 20 cm = 0.2 m
Asked:
average force = F = ?
Solution:
We will use Newton's Law of Motion to solve this problem as follows:
[tex]F = m a[/tex]
[tex]F = m (\frac { u^2 - v^2 } { 2d } )[/tex]
[tex]F = 0.15 \times \frac { 40^2 - 0^2 } { 2 \times 0.2 }[/tex]
[tex]F = 0.15 \times \frac { 1600 } { 0.4 }[/tex]
[tex]F = 0.15 \times 4000[/tex]
[tex]\boxed {F = 600 \texttt{ N}}[/tex]
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Grade: High School
Subject: Physics
Chapter: Dynamics
