1. A 50kg person is taking a ride on an elevator travelling up at a steady speed of 2.5m/s. Find the time fo the elevator trip if the elevator does 4900 J of work on the person.
My answer: First I used the formula f=mg to find the force and got -490N.
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- 490 N is gravity force DOWN on person.
+ 490 N is force elevator exerts UP on person
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Then, I used the firmula w=fd and found the distance which is 10m.
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YES
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Lastly, I used v=d/t to find the time and got -4.0 seconds. Time shouldnt be negative but I got a negative number from the force equation.
+++++++++++++++++++++
Well my force is POSITIVE :)
+++++++++++++++++++++++ So I get +4 sec
I was wondering if my answers are correct.
1. A 50kg person is taking a ride on an elevator travelling up at a steady speed of 2.5m/s. Find the time fo the elevator trip if the elevator does 4900 J of work on the person.
My answer: First I used the formula f=mg to find the force and got -490N. Then, I used the firmula w=fd and found the distance which is 10m. Lastly, I used v=d/t to find the time and got -4.0 seconds. Time shouldnt be negative but I got a negative number from the force equation.
2. A car slows from 108km/h to 90km/h over a course of 4.0s. THe force of the brakes was 1000N. What is the work done by the brakes on the car?
My answer: 110 000N
3. A pair of sleds weighs 25 kg and experience frictional force of 25N. If a dog team applies a 175 N force pulling it 12m find:
a) work done by friction
b) work done by dog team
c) net work done (using net force). how does the net work compare to answers from a and b
d) what form of energy does the frictional force represent? what form of energy does the net force produce?
My answers:
a) 300 N•m
b) 2100 N•m
c) net force=200N and net work=2400N•m. I'm not sure how it would compare to the previous answers.
d) frictional force represents thermal energy and net force produces kinetic energy?
5 answers
2. A car slows from 108km/h to 90km/h over a course of 4.0s. THe force of the brakes was 1000N. What is the work done by the brakes on the car?
My answer: 110 000N
+++++++++++++++++++++++++++++++++++++++
How far?
In constant acceleration, average velocity is (final +initial)/2
v = 99 *1000/3600 = 27.5 m/s
goes 4 s * 27.5 m/s = 110 meters
1000N * 110 m = 110,000 Joules
So YES
My answer: 110 000N
+++++++++++++++++++++++++++++++++++++++
How far?
In constant acceleration, average velocity is (final +initial)/2
v = 99 *1000/3600 = 27.5 m/s
goes 4 s * 27.5 m/s = 110 meters
1000N * 110 m = 110,000 Joules
So YES
a) 300 N•m YES (or JOULES)
b) 2100 N•m YES (or Joules
c) net force=200N and net work=2400N•m.
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I get + for pull and - for friction so
net = 175 - 25 = 150N
Net work = 150 * 12 = 1800 Joules
and
1800 = 2100 -300 indeed
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I'm not sure how it would compare to the previous answers.
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useful work = work done - heat generated
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d) frictional force represents thermal energy and net force produces kinetic energy? yes
b) 2100 N•m YES (or Joules
c) net force=200N and net work=2400N•m.
***************
I get + for pull and - for friction so
net = 175 - 25 = 150N
Net work = 150 * 12 = 1800 Joules
and
1800 = 2100 -300 indeed
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I'm not sure how it would compare to the previous answers.
******************
useful work = work done - heat generated
*********************
d) frictional force represents thermal energy and net force produces kinetic energy? yes
Ohhh I see what I did wrong! Thanks a lot again!
for question number 1
we need to find time but we cant find time if we don't have the distance. So first we will find distance.So apply a=Fnet/m ,
a=0(speed is constant).
0*50=Fnet=0N
then as we have the mass the other force applying here is the gravitational force
so Fnet=Fapp-Fg(gravitational force is acting in the opposite direction)
We will find Fg=mg,
Fg=50*9.8=490N
so Fnet=Fapp-Fg
0N=Fapp-490
4900N=Fapp
W=Fapp*d(work is the product of force applied and distance covered)
4900=490d
4900/490=d
10m=d
No we have distance and velocity we can easily find time
v=d/t
t=d/v
t=10/2.5
t=4seconds
we need to find time but we cant find time if we don't have the distance. So first we will find distance.So apply a=Fnet/m ,
a=0(speed is constant).
0*50=Fnet=0N
then as we have the mass the other force applying here is the gravitational force
so Fnet=Fapp-Fg(gravitational force is acting in the opposite direction)
We will find Fg=mg,
Fg=50*9.8=490N
so Fnet=Fapp-Fg
0N=Fapp-490
4900N=Fapp
W=Fapp*d(work is the product of force applied and distance covered)
4900=490d
4900/490=d
10m=d
No we have distance and velocity we can easily find time
v=d/t
t=d/v
t=10/2.5
t=4seconds
1 answer