(33%) Problem 1: The rocket sled shown in the figure decelerates at a rate of 16

Question

(33%) Problem 1: The rocket sled shown in the figure decelerates at a rate of 160 m/s. Its passenger has a mass of 75 kg. Use a coordinate system in which the sled is moving in the positive direction, and assume the contact forces with the seat are the only forces acting on the passenger Randomized Variables a-160 m/s2 m-75 kg Otheexpertta.com 33% Part (a) Calculate the horizontal component of the force that the seat exerts against his body, in newtons Grade Summary Deductions Potential 0% 100% cos0 sin cotan0 asin) atan)acotan() tan() ?( acos0 Submissions Attempts remaining: 5 (20% per attempt) detailed view cosh0 n cotanh0 Degrees O Radians 0 Submit Hint I give up! Hints: 10% deduction per hint. Hints remaining: 3 Feedback: 10% deduction per feedback. 33% Part (b) What is the ratio of the magnitude of the horizontal force to the magnitude of the force of gravity? 33% Part (c) Find the angle of the total force that the seat exerts against his body. Give your answer in degrees from the negative horizontal direction, with positive being clockwise

Explanation / Answer

A) Horizontal force, F = ma = - 75 x 160 = - 12000 N

B) Force of gravity, Fg = 75 x 9.81

Ratio, (F/Fg) = 160/9.8 = 16.3

C) Angle, theta = arctan (9.8/160) = 3.5 degree

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