Calculating Acceleration and Angle on a Frictionless Air Track

  • Thread starter Thread starter jenc305
  • Start date Start date
  • Tags Tags
    Accleration Angle
AI Thread Summary
To calculate the acceleration of a cart on a frictionless air track, the formula a = 2d/t² can be used, where d is the distance traveled and t is the time elapsed. Given that the cart travels 32.0 cm in 2.0 seconds, the acceleration can be calculated as a = 2(0.32 m)/(2.0 s)², resulting in an acceleration of 0.08 m/s². The angle of the track can be determined using the relationship a = g sin(θ), where g is the acceleration due to gravity. By substituting the known values, the angle θ can be calculated. The problem was successfully solved with this guidance.
jenc305
Messages
16
Reaction score
0
Please help me with this question. I understand how to calculate the velocity from the given conditions but I don't know how to figure out the acceleration or the angle. Thanks!

A cart is released from rest at the top of a perfectly frictionless air track. After an elapsed time delta t = 2.0s, the cart has traveled delta x = 32.0 cm down the track. What is the cart's acceleration? What is the angle of theta of this track?
 
Physics news on Phys.org
The acceleration of the cart is the component of its weight parallel to the track divided by its mass so a = g \cos \theta. The distance it travels is

d = \frac {1}{2} a t^2

and you have enough information to find the acceleration and the angle.
 
I've figured out the problem with your help. Thank you!
 
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 »

Thread 'Egg Drop Challenge! Need ideas for winning designs'

I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
View full post »

Similar threads

Calculating air resistance for a cart rolling down a ramp
Replies
8
Views
2K
Lab Exercise: Measuring "g" using Conservation of Energy
Replies
12
Views
865
Air track - Inclined Plane experiment
Replies
9
Views
4K
Calculating Track Acceleration Due to Gravity
Replies
24
Views
2K
A glider of length 12.4 cm moves on an air track
Replies
14
Views
5K
Friction direction change in a inclined circular bend (car on a road)
Replies
11
Views
1K
Two carts on a frictionless AIR Track held together then released with a sping.
Replies
4
Views
3K
Acceleration of a cart immediately after the system is released
Replies
15
Views
4K
Inclined Plane Homework: Calculating Speeds at Photogates 1 and 2
Replies
13
Views
2K
Problem About Change in Momentum/Impulse
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top