- #1
FuturEngineer
- 10
- 0
Homework Statement
a rigid body with a mass of 2 kg moves along a line due to a force that produces a position function x(t)= 4t^2, where x is measured in meters and t is measured in seconds. Find the work done during the first 5 seconds in two ways.
Homework Equations
x(t)= 4t^2
Work is ->
W = Integral from a to b of the force F(x) dx
The Attempt at a Solution
SInce t is seconds, I tried plugging in 5 for the given eq. of x(t) = 4t^2
So I got x(5) = 4(5)^2 =
4(25)= 100 m
So then I attempted integrating 4t^2 from time 0 to time 5 and got a completely different answer. Help anyone? Thanks!