Question
A lift that weighs 300N moves a man with a weight of 950N upwards by 12m. How much work is done to move the lift this height?
Answer
4.7
(387 Votes)
Wesley
Veteran · Tutor for 11 years
Answer
The work done to move the lift this height is
.
Explanation
## Step 1: The first step in solving this problem is to understand the concept of work done in physics. The work done on an object is equivalent to the force applied to it multiplied by the displacement it moves while the force is applied. This can be represented mathematically as
, where
is the work done,
is the force applied,
is the displacement, and
is the angle between the force and the displacement. ## Step 2: In this problem, the force is the total weight of the lift and the man, which is
. The displacement is the distance the lift moves upwards, which is
. The angle
is
because the force and the displacement are in the same direction (upwards). ## Step 3: Substitute the values of
,
, and
into the formula for work done. ###
## Step 4: Calculate the work done. ###