Question

5) You did 170 joules of work lifting a 140 N backpack. How high did you lift the backpack?          

6)  in problem 5 how much did the backpack weigh in pounds (hint there are 4.45 newtons in one pound)

Answer 1

sorry im from the UK, ill do my math in metric :)
5) work done = force * distance moved in direction of force

170J = 140N* ?d
170J/140N = 1.21m

F=Ma

140N/9.81ms^-2=

14.27Kg or 31.46Ib

you could do the fast alternative simplified route to this question

as 140/4.45 = 31.46Ib

Answer 2

d = 1.21 meters

The mass of the backpack is 31.48 pound.

Step-by-step explanation:

(5) Work done in lifting a backpack, W = 170 J

The force acting on the backpack, F = 140 N

The work done by an object is given by :

`W=F* d`

d is the height at which the backpack is lifted

`d=(W)/(F)`

`d=(170\ J)/(140\ N)`

d = 1.21 meters

So, the backpack is lifted to a height of 1.21 meters.

(6) If m is the mass of the backpack. It can be calculated as :

W = mg

`m=(W)/(g)`

`m=(140)/(9.8)`

m = 14.28 kg

Since, 1 kg = 2.204 pound

14.28 kg = 31.48 pound

So, the mass of the backpack is 31.48 pound. Hence, this is the required solution.