Respuesta :
Answer:
F = 3750 N
Explanation:
Given that,
Mass of Donny, m = 75 kg
Initial speed, u = 25 m/s
He suddenly slams on the brakes to avoid hitting a squirrel crossing the road, final speed = 0
Time, t = 0.5 s
We need to find the force the seatbelt exert on him. The force is given by :
F = ma
a is acceleration
[tex]F=\dfrac{m(v-u)}{t}\\\\F=\dfrac{75\times (0-25)}{0.5}\\\\=-3750\ N[/tex]
So, the force is 3750 N.
The force the seatbelt exert on him is 3750 N
Using Newton's third law
f = ma
where
m = mass
a = acceleration
a = v - u / t
where
v = final velocity
u = initial velocity
t = time
Therefore,
f = m(v - u / t)
m = 75 kg
u = 25 m/s
t = 0.500 secs
v = 0 m/s (The car will stop because he applied a brake)
f = 75 × (0 - 25 / 0.5)
f = 75 × -25 / 0.5
f = 75 × -50
f = - 3750
f = 3750 N
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