A force of F = 2.2 ± 0.1 N is applied to a block for a period of time, during which the block moves a distance d = 3 m, which is measured with negligible uncertainty. The work W is given by W = F d. Estimate W, and find the uncertainty in the estimate.
Step 1 of 1:
The work is given by
F is the force applied to the block for a period time.
Here F=2.2 and and
d is the distance.
So d=3 m.
Our goal is :
We need to estimate W and the uncertainty in the estimate.
Now we have to estimate W and
We have to find the uncertainty in the estimate.
The work estimated is
We know that F=2.2 N and d=3m.
W=(2.2 N 3 m )
Therefore the estimate of W is 6.6 Nm.
Then the uncertainty in the estimate is
Therefore the uncertainty in the estimate is 0.3 Nm.