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prisoha [69]
3 years ago
9

Use the impulse-momentum theorem to find how long a stone falling straight down takes to increase its speed from 5.6 m/s to 10.6

m/s . Express your answer in seconds.
Physics
1 answer:
Nezavi [6.7K]3 years ago
7 0

As stated, the impulse and momentum definitions will be used to later find the value of time through the force of gravity. According to the theory, the impulse formula is given as,

I = F\Delta t

Here,

F = Force

\Delta t = Change in time

Now using the impulse theorem we have that,

Change in Impulse = Change in momentum

F\Delta t = \Delta p (1)

The change in momentum is given as

\Delta p = p_f -p_i

\Delta p = (-10.6)-(-5.6)

\Delta p = -5m/s

The force due to gravity is through the Newton's second law

F_g = -mg

Here,

m = mass

g = Acceleration due to gravity

Substitute the value in (1)

-mgt = -5m/s

9.8t = 4.9

t = \frac{5}{9.8}

t = 0.51s

Therefore it will take 0.51s.

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