Cart pushed up a ramp

  • Thread starter Tonik
  • Start date
  • #1
13
0

Homework Statement


A cart is pushed up a ramp with an initial speed v0=2.5m/s. For this problem, you may assume that the cart is frictionless and the acceleration of the cart a=gsin[tex]\theta[/tex].

A) If the angle of the ramp is [tex]\theta[/tex]=20, what is the maximum distance d that the cart will travel up the ramp?

B) If the angle of the ramp is [tex]\theta[/tex]=45, what is the maximum distance d that the cart will travel up the ramp?

Homework Equations


v2=v02+2a[tex]\Delta[/tex]X
manipulated to....
(v2-v02) / (2a) = [tex]\Delta[/tex]X

The Attempt at a Solution



A)
9.8sin(20)=3.351797
(0-(2.5)2) / (2(3.351797) = [tex]\Delta[/tex]X
[tex]\Delta[/tex]X=10.474 meters

B)
9.8sin(45)=6.9296
(0-(2.5)2) / (2(6.9296) = [tex]\Delta[/tex]X
[tex]\Delta[/tex]X=.4509 meters

I was feelin' good about the first answer but the second answer seems too low... did I do these correctly?
 

Answers and Replies

  • #2
13
0
Shameless bump.
 
  • #3
PhanthomJay
Science Advisor
Homework Helper
Gold Member
7,170
509
Shameless bump.
B looks good. Just check your math error in A.
 
  • #4
13
0
B looks good. Just check your math error in A.

A)
9.8sin(20)=3.351797
(0-(2.5)2) / (2(3.351797) = [tex]\Delta[/tex]X
[tex]\Delta[/tex]X=.93234 meters

Fixed, I have no idea how I came up with ~10 meters...
Thanks bud!
 

Related Threads on Cart pushed up a ramp

  • Last Post
Replies
4
Views
3K
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
24
Views
11K
  • Last Post
Replies
3
Views
3K
Replies
2
Views
4K
  • Last Post
Replies
9
Views
5K
  • Last Post
Replies
5
Views
2K
Replies
1
Views
2K
  • Last Post
Replies
2
Views
7K
  • Last Post
Replies
6
Views
31K
Top