A shopper in a supermarket pushes a cart with a force of 35 N directed at an angle of 25 ◦ downward from the?
8.)
A shopper in a supermarket pushes a cart
with a force of 35 N directed at an angle of
25 degrees downward from the horizontal.
Find the work done by the shopper on the
cart as the shopper moves along a 50.9 m
length of aisle.
Answer in units of J
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Verified answer
First you have to find the horizontal component of the force, because it is only the horizontal component that is doing any work (you are moving the cart horizontally, not up or down).
So we do....
Fx=Fcos(theta)
Fx=(35)(cos25)
Fx=31.7N
Then to find energy we do W=Fd
W=31.7(50.9)
W=1613.5
W=1600 J
I like to round. Anyways, it's about 1600 Joules of energy.
first you need the horizontal component of F;
Fx=F cos 25=34.69 N
then work=force*displacement
W=34.69*50.9=1 765.721 J