A 4.76 kg crate is suspended from the end of a short vertical rope of negligible mass. An upward force F(t) is applied to the end of the rope, and the height of the crate above its initial position is given by y(t)=(2.80m/s)t +(0.61 m/s3 )t3 What is the magnitude of the force F when 3.71 s ?

The magnitude of the force is 64.634 newtons.

Explanation:

According to the statement, the crate is a constant mass system, whose upward force is described by the following expression:

(1)

Where:

- Force, in newtons.

- Mass, in kilograms.

- Acceleration, in meters per square second.

The function acceleration is obtained by deriving the function position twice in time:

(2)

(3)

And we expand (1) by applying (3):

Where is the time, in seconds.

If we know that and , then the magnitude of the force is:

The magnitude of the force is 64.634 newtons.

colorectal cancer may also develop from areas of abnormal cells in the lining of the colon or rectum. this area of abnormal cells is called dysplasia and is more commonly seen in people with certain inflammatory diseases of the bowel such as crohn's disease or ulcerative colitis.

he made 11 calls in one day