A child is sliding on a sled at 1.5 m/s to the right. You stop the sled by pushing on it for 0.50 s in a direction opposite to its motion. If the mass of the child and sled is 35 kg, what average force do you need to apply to stop the sled? Use the concepts of impulse and momentum.

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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