1. A force of 5.0 N is required to stretch a certain spring by 1.5 c m . a) How
ID: 2144076 • Letter: 1
Question
1. A force of 5.0N is required to stretch a certain spring by 1.5cm .
a) How far must this spring be stretched for its potential energy to be 0.025J ?
b)How much stretch is required for the spring potential energy to be 0.080J ?
2. A 18000 kg airplane lands with a speed of 72 m/s on a stationary aircraft carrier deck that is 115 m
long.
a.) Find the work done by nonconservative forces in stopping the plane.
3.) A particle moves under the influence of a conservative force. At point
A the particle has a kinetic energy of 10J ; at point Bthe particle is momentarily at rest, and the potential energy of the system is 27J ; at point C the potential energy of the system is 5J .
a.) What is the potential energy of the system when the particle is at point A ?
b.) What is the kinetic energy of the particle at point C ?
J
Explanation / Answer
F=k*x...
spring constnt k=F/x=5/0.015=333.34 N/m...
A)P.E=U=(1/2)*k*x^2...
x=sqrt[2*u/k]=0.01224 m=1.224 cm
B)x=sqrt[2*u/k]=0.0219m=2.19 cm
C)W=
F=m*a=m(u^2/2s)=4.057*10^5 N
W=F.S=4.67*10^7 J
3)
a)total energy TE=K.E+P.E...
at B T.E=0+P.E=27 J...
at A P.E=T.E-K.E=27-10=17J
B)at C K.E=T.E-P.E=27-5=22 J
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