Question
A 15.0 kg dart is thrown horizontally into a dartboard. The thrower applies a 80.0 N force over a distance of 88.2 cm in order to propel the dart.
a) Calculate the work done by the dart thrower.
b) Determine the velocity of the dart.
c) If the dart went 4.50 cm into the dartboard , find the force the dartboard exerts on the dart
a) Calculate the work done by the dart thrower.
b) Determine the velocity of the dart.
c) If the dart went 4.50 cm into the dartboard , find the force the dartboard exerts on the dart
Answers
a) W+Fx =80•0.882=70.56 J
b) W=KE =mv²/2
v=sqrt(2W/m) = sqrt(2•70.56/15)=3.07 m/s
c) KE=W(fr) =F•x
F=W(fr)/x=KE/x=F/x = 70.56/0.045=1568 N
b) W=KE =mv²/2
v=sqrt(2W/m) = sqrt(2•70.56/15)=3.07 m/s
c) KE=W(fr) =F•x
F=W(fr)/x=KE/x=F/x = 70.56/0.045=1568 N