Hey can someone please help answer this question?
1 answer:
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Answer:
v = 15.8 m/s
Explanation:
Let's analyze the situation a little, we have a compressed spring so it has an elastic energy that will become part kinetic energy and a potential part for the man to get out of the barrel, in addition there is a friction force that they perform work against the movement. So the variation of mechanical energy is equal to the work of the fictional force
= ΔEm =
-Em₀
Let's write the mechanical energy at each point
Initial
Em₀ = Ke = ½ k x²
Final
= K + U = ½ m v² + mg y
Let's use Hooke's law to find compression
F = - k x
x = -F / k
x = 4400/1100
x = - 4 m
Let's write the energy equation
fr d = ½ m v² + mgy - ½ k x²
Let's clear the speed
v² = (fr d + ½ kx² - mg y) 2 / m
v² = (40 4.00 + ½ 1100 4² - 60.0 9.8 2.50) 2/60.0
v² = (160 + 8800 - 1470) / 30
v = √ (229.66)
v = 15.8 m/s
Answer:
The time for the entire race is 11.39 sec.
Explanation:
Given that,
Distance = 15 m
Remainder distance = 100 m
Suppose A sprinter begins a race with an acceleration of 3.4 m/s².
We need to calculate the time
Using equation of motion
Put the value in the equation
We need to calculate the final velocity of sprinter
Using equation of motion again
Put the value into the formula
We need to calculate the distance covers by sprinter
The sprinter need to covers only 85 m.
We need to calculate the time
Using formula of time
Put the value into the formula
We need to calculate the time for the entire race
Put the value into the formula
Hence, The time for the entire race is 11.39 sec.