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When playing shuffleboard, a player exerts a constant force of 2.1 N on an initially stationary puck, at an angle 55° below the horizontal. If the player pushes the puck for 1.5 m, how fast is the puck moving when it is released? The mass of a puck is 0.49 kg. Ignore the force of friction. show work
3 Answers
- oldschoolLv 72 years agoFavorite Answer
∫F∙dx = Work = 2.1*cos55 *1.5 = ½mV² = ½*0.49*V²
(2.1*cos55 *1.5)/(½*0.49) = V² = 2.7²
OR F/m = a = (2.1*cos55)/0.49 = 2.46m/s²
Vf² = 0² + 2*2.46*1.5 = 2.7²
Vf = ~ 2.7m/s
- billrussell42Lv 72 years ago
The force that is in the direction of motion is 2.1 cos 55 = 1.20 N
F = ma
a = F/m = 1.2/0.49 = 2.46 m/s²
v = √(2ad) = √(2•2.46•1.5) = 2.72 m/s