A car of m = 1200. kg collides with a tree while traveling 60.0 mph. The collision occurs over a time period of 0.0500 seconds.
2 answers:
Answer:
Force, F = 38.4 N
Explanation:
It is given that,
Mass of the car, m = 1200 kg
Initial velocity of the car, u = 60 m/h = 0.016 m/s
The collision occurs over a time period of 0.0500 seconds.
Force, F = m a
F = -38.4 N
The magnitude of the force exerted on the car as it comes to rest during the collision is 38.4 N
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Answers:
a)
b)
c)
Explanation:
<h3>a) Impulse delivered to the ball</h3>According to the Impulse-Momentum theorem we have the following:
(1)
Where:
is the impulse
is the change in momentum
is the final momentum of the ball with mass
and final velocity (to the right)
is the initial momentum of the ball with initial velocity (to the left)
So:
(2)
(3)
(4)
(5)
<h3>b) Time </h3>
This time can be calculated by the following equations, taking into account the ball undergoes a maximum compression of approximately :
(6)
(7)
Where:
is the acceleration
is the length the ball was compressed
is the time
Finding from (7):
(8)
(9)
(10)
Substituting (10) in (6):
(11)
Finding :
(12)
According to Newton's second law of motion, the force is proportional to the variation of momentum
in time
:
(13)
(14)
Finally: