53.0k views
3 votes
A bread box is made to move along an x axis from x = 0.15 m to x = 1.20 m by a force with a magnitude given by F = e(-2x²), with x in meters and F in newtons. How much work is done on the bread box by the force?

User Agriz
by
6.2k points

1 Answer

5 votes

Answer:

Work done on the bread box is 0.1157 J

Step-by-step explanation:

Bread box is made to move along an x axis from x=0.15m to x=1.20m means total distance covered by box is (1.20-0.15)m=1.05m.

Work done is equal to Force*distance covered

i.e;

W=F.d=e^(-2x^2).d

=e^(-2(1.05)^2).(1.05)=(0.1102).(1.05)

=0.1157J

User Geoff Moller
by
6.8k points