In: Physics
An upward applied force of 10 lbf is applied to a body that has been dropped. Assume the usual value for acceleration due to gravity. If the object weighs 40 lbm, what is the vertical acceleration of the object in ft/s2 ? Draw a free body diagram and label your axes. ANSWER should be between ( 20-25 ft/s2)
Answer : the acceleration of the body is
virtically downward.
Solution:
As the body is dropped ,
Hence ,
Which is directed along
axis i.e downword.
Again, according to Newton's 2nd laws of motion ,
, where
acceleration of the body
Hence,
Now,
Hence,
Putting this ,
Hence, the acceleration of the body is
virtically downward.