The duration (i.e time) of the impact, given that the head impact was 1770 N is 0.005 s
<h3>How do I determine the duration (i.e time)?</h3>
Impulse is defined as the change in momentum of an object. It is expressed as:
Impulse = change in momentum
Impulse = final momentum – Initial momentum
Impule = m(v - u)
Impulse = force × time
Impulse = Ft
Thus,
Ft = m(v - u)
Where
- F is the force
- t is the time
- m is the mass
- u is the initial velocity
- v is the final velocity
Now, we can obtain the duration (i.e time) of the impact. Details below:
- Force (F) = 1770 N
- Initial velocity = 2.09 m/s
- Mass (m) = 4.12 Kg
- Final velocity = 0 m/s
- Duration (t) =?
Ft = m(v + u) since the collision came to a stop
1770 × t = 4.12 × (0 + 2.09)
1770 × t = 4.12 × 2.09
Divide both sides by 1770
t = (4.12 × 2.09) / 1770
t = 0.005 s
Thus, the duration is 0.005 s
Learn more about time:
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It transfers and changes into different types of energy, this is why the ground feels hot when something moves fast over it.
Answer:

Explanation:
From the question we are told that:
Height 
Radius 
Height of water 
Gravity 
Density of water 
Generally the equation for Volume of water is mathematically given by


Where
y is a random height taken to define dv
Generally the equation for Work done to pump water is mathematically given by

Substituting dv


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