(8%) Problem S: A dart gun contains a spring of spring constant k 11 N/m which i

Question

(8%) Problem S: A dart gun contains a spring of spring constant k 11 N/m which is used to fire a dart of mass m The dart leaves the gun at a speed of v -3.1 m/s after the spring is compressed 1 cm. Otheexpertta.com A 33% Part (a) What is the wei Fg in Newtons, of the dart? ght, Grade Summary 0% Deductions 100% Potential sino coso tano 7 8 9 HOME Submissions Attempts remaining: 5 4 5 6 cotan (2% per attempt) atano acotana sinh0 1 2 3 detailed view cosh00 tanh0 cotanh0 BACKSPACE CLEAR Degrees O Radians Submit Hint give up! Hints 2% deduction per hint. Hints remaining: 2 Feedback: 2% deduction per feedback. A 33% Part (b) What is the dart's speed when it hits the floor v in m s, if it is fired horizontally at a height of h 2 meters A 33% Part (c) What angle, in degrees, does the dart's final velocity make with the horizontal? All content 2017 Expert TA, LLC

Explanation / Answer

Part A ;

Using work energy theorem

1/2 kx2= 1/2 m v2

so

m= kx2/v2

putting k=11N/m , v=3.1m/s, x= 1cm=0.01m

We get

m=0.0001115664kg

F=mg=0.0011N

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