//ust35nc theexpertta.com/Common/TakeTutorialAssignment.aspx (7%) Problem 8: A b
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//ust35nc theexpertta.com/Common/TakeTutorialAssignment.aspx (7%) Problem 8: A bolt gun includes a spring of spring constant k-17 Nin which is used to fire a bolt of mass m. The bolt leaves the gun at a speed of v- 6.6 m/s after the spring is compressed 1 cm. Otheex 33% Part (a) What is the weight, F, in Newtons, of the bolt? Grade S Deduction Potential sin() | cos() | tan() | | ( cotan asinacos0 tan acotan sinh0) coshO tanhcotanh(0 17| 8| 9 Submissi Attempts (0% per a detailed v 0 Degrees O Radians Submit Hint I give up! Hints:0% deduction per hint. Hints remaning: 2 Feedback: 0% deduction per feedback. 2 meters? 33% Part (b) what is the bolt's speed when it hits the floor y, in m/s, if it is fired horizontally at a height of h 33% Part (c) what angle, in degrees, does the bolt's final velocity make with the horizontal?Explanation / Answer
Spring energy = ½*k*x2
Kinetic energy = ½*m*v2
(part a)
x = 0.01 m
Espring = (0.5*17*0.012)
Espring = 8.5×10-4 J
KE = Espring
0.5*m*6.62 = 8.5 x 10-4
m = 3.90266 x10-5 kg
Fg = mg
Fg = (3.90266 x10-5*9.81)
Fg = 3.82 x 10-4 N
(part b)
v2 = u2 + 2as
vy2 = vi2 + 2as
vy2 = 02 - 2*9.81*2
vy = -6.26 m/s
vf = (Vx2+Vy2)
vf = (6.62+6.262)
vf = 9.09 m/s
(part c)
tan = Vy/Vx
tan = (-6.26)/6.6
= arctan ((-6.26)/6.6)
= -43.48°
= -43.5°
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