What Is the Speed of a Wagon After Ascending a Hill?

  • Thread starter Thread starter TJ the Tornado
  • Start date Start date
AI Thread Summary
To find the acceleration of a wagon being towed up an incline, the net force acting on the wagon must be calculated. The tension in the tow rope (140 N) acts upward along the incline, while the component of gravitational force acting down the incline is found using the formula mg sin(θ), where m is the mass (40 kg) and θ is the incline angle (18°). The net force is the difference between the tension and the gravitational component. Using Newton's second law (F = ma), the acceleration can then be determined by dividing the net force by the mass of the wagon. The discussion emphasizes that the key difference when moving up an incline is the direction of the gravitational force component.
TJ the Tornado
Messages
7
Reaction score
0
A 40.0 kg wagon is towed up a hill inclined at 18.0° with respect to the horizontal. The tow rope is parallel to the incline and has a tension of 140 N. Assume that the wagon starts from rest at the bottom of the hill, and neglect friction. How fast is the wagon going after moving 77 m up the hill?


so all i need is the accel to do this one, how do you find it using a box moving up a incline i only know going down.
 
Physics news on Phys.org
for box going down show your work.

Hint
Tension is the driving force and component of gravity is opposing.
 
The only difference between going down a slope and going up is the direction!

Of course the acceleration due to gravity is always down so it's really the difference between adding and subtracting.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

What are the forces on a wagon being pulled up an inclined hill?
Replies
9
Views
3K
What are the forces acting on a child pulling a wagon up an inclined hill?
Replies
3
Views
4K
Physics: Find Wagon Speed Up 18.1° Hill Given Tension and Distance
Replies
1
Views
2K
How to Find Coefficient of Kinetic Friction?
Replies
1
Views
2K
Finding acceleration given tension on a ramp?
Replies
1
Views
2K
Problem with Forces and Newton's Laws
Replies
7
Views
12K
A father spins his child on a cart
Replies
10
Views
2K
Total time wagon needs to fully pass the hopper
Replies
6
Views
2K
What is the deceleration of a snowboarder going up a 5.0° slope?
Replies
2
Views
13K
Sledding Down a Hill - Speed Calculation
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top