# When the hammer hit the head of the nail, the braking acceleration was equal to 350 m / s2 in modulus

When the hammer hit the head of the nail, the braking acceleration was equal to 350 m / s2 in modulus. How long does the blow last if the initial speed of the hammer was 50 m / s.

V0 = 50 m / s.

V = 0 m / s.

a = 350 m / s ^ 2.

t -?

The acceleration of a body, and called the rate of change in its speed V and is determined by the formula: a = (V – V0) / t, where V, V0 are the final and initial speed of the body, t is the time during which the speed changes.

Since the final speed is V = 0 m / s, then a = – V0 / t.

The sign “-” shows that the acceleration a and the speed of movement V, directed in opposite directions, the body is inhibited.

t = V0 / a.

t = 50 m / s / 350 m / s ^ 2 = 0.14 s.

Answer: the impact lasts t = 0.14 s.

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