1 . 5 metric ton vehicle collides a brick wall. The initial velocity of the vehicle is v i = − 1 0 m/s while its final velocity is v f = 2 . 6 m/s . If the collision lasts for 0 . 2 seconds, what is the average force (in Newtons) exerted on the vehicle due to the collision?
In a crash test, a
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👍👌 it was very nice question…
For those who live in countries that uses the short ton, 1 ton is only equivalent to 907 kg. This will throw off the answer since the question is written using long ton which has a 1 ton to 1016 kg ratio .
I thought 1 metric ton was 1000000 kg
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Hee...heee... .
It's bad luck. Never mind, you knew how to solve this problem didn't you?
Due to the impulse theorem △ p = m ⋅ △ v = F m ⋅ △ t Hence F m = △ t m ⋅ △ v = 0 . 2 s ( 1 . 5 ⋅ 1 0 3 k g ) ( 2 . 6 m / s − ( − 1 0 m / s ) ) = 9 4 5 0 0 N
v = 2.6 m/s ; u = -10 m/s ; t = 0.2 s
Since v = u + at ; a = 63 m/s2
F = ma = (1.5x1000)kg x 63 m/s2 = 94500 N
we can easily compute acceleration further calculate the force exerted by the vehicle ..........
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We know that F = m a .
m = 1 . 5 ton = 1 5 0 0 kg.
a = △ t △ v .
As the velocity changed from − 1 0 m / s to 2 . 6 m / s ,
the value of △ v = 1 2 . 6 .
And △ t = 0 . 2 as given,
So we get F = m △ t △ v = 0 . 2 1 5 0 0 × 1 2 . 6 = 1 5 0 0 × 1 2 . 6 × 5 = 9 4 5 0 0 N