Respuesta :
Answer:
The average force I need to apply to stop the sled is 105 N
Explanation:
given information:
velocity of the slide, [tex]v_{0}[/tex] = 1.5 m/s
time to stop the sled, t = 0.5s
mas of both sled ad a child, m = 35 kg
The question instructed to use the concepts of impulse and momentum. Impulse, Δp is the change in momentum
Δp = FΔt
where
Δp = change in momentum
F = applied force
Δt = elapsed time
so,
Δp = FΔt
mv = FΔt
F = mv/Δt
= 35 x 1.5/0.5
= 105 N
The average force needed to stop the sled is -105 N.
To calculate the average force needed to stop the sled, we use the formula below.
Formula:
- F = m(v-u)/t........... Equation 1
Where:
- F = Average force
- m = mass of the child and the sled
- v = Final velocity
- y = Initial velocity
- t = time
From the question,
Given:
- m = 35 kg
- v = 0 m/s
- u = 1.5 m/s
- t = 0.50 s
Substitute these values into equation 1
- F = 35(0-1.5)/0.5
- F = -105 N.
Hence, The average force needed to stop the sled is -105 N.
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