(7%) Problem 5: A 107.5-kg rugby player is initially running at 9.5 mL/s (in the

Question

(7%) Problem 5: A 107.5-kg rugby player is initially running at 9.5 mL/s (in the positive direction), but collides head-on with a padded goalpost and experiences a backward force of 1.78 x 104 N for 5.4x 102 s. Calculate the final velocity in the horizontal direction of the rugby player, in meters per second. Grade Su Submissi Attempts (4% pera sino | cos() cotan0 asinacoso atan acotan sinho cosh tancotanh0 . Degrees Radians tan() ?1(1) 17| 89 detatled * 1 2 3 «? Submit Hint I give up! Hints: 4% deduction per hint. Hints remaining: 2 Feedback: 5% deduction per feedback. Submission History Answer Hints Feedback Totals 0% 0% 096

Explanation / Answer

Given,

m = 107.5 kg ; vi = 9.5 m/s ; F = 1.78 x 10^4 N ; t = 5.4 x 10^-2 s

We know that, impulse is

J = m (vf - vi) ; J = Ft

Ft = m (vf - vi)

vf - vi = -F t/m = 17800 x 0.054/107.5 = -8.94

vf = -8.94 + 9.5 = 0.56 m/s

Hence, vf = 0.56 m/s

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