How Do You Calculate Speed at the Bottom of an Inclined Plane?

  • Thread starter Thread starter Novus Dakota
  • Start date Start date
  • Tags Tags
    Physics
AI Thread Summary
To calculate the speed at the bottom of an inclined plane, the kinetic energy equation KE = 1/2 mv^2 is used. By rearranging the equation to isolate v, one can take the square root after manipulating the terms. Specifically, if KE is 281 J and mass m is 5 kg, the calculation leads to v = √(2*281/5). This results in a final speed of approximately 12.57 m/s at the bottom of the incline. Understanding how to manipulate the equation and apply square roots is essential for solving such physics problems.
Novus Dakota
Messages
9
Reaction score
0
If the mass slides down the inclined plane fomr the top, what will the speed be when it reaches the bottom

so my equation is KE=1/2mv^2

so 281 J = 1/2 (5) v^2

Im blanking out on how to cancel out the square aaah thx


EDIT : I GOT IT THanks
 
Last edited:
Physics news on Phys.org
You've done the physics, don't let the arithmetic stop you now!
To "cancel" an operation, use the opposite operation. What is the opposite of squaring?

Try using a square root!

If (5/2)v2= 281 then v2= 562/5. Take the square root of both sides.
 


No problem! To solve for v, you can rearrange the equation to isolate v. So, you can divide both sides by (1/2) and take the square root of both sides to cancel out the square. This will leave you with v = √(2KE/m). Plugging in the values, you would get v = √(2*281/5) = 12.57 m/s. Hope that helps!
 

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

A cart collides with a bumper -- Find the final displacements, etc.
Replies
15
Views
2K
Theoretical velocities at different heights sliding down an inclined plane
Replies
4
Views
837
Which sphere reaches the bottom of the inclined plane first
Replies
19
Views
4K
Compute acceleration on an inclined plane with friction
Replies
5
Views
2K
Conservation of energy problem: Ball rolling down inclined plane and then through a loop-the-loop
Replies
10
Views
2K
What is the displacement of a 3.0 kg block sliding down an inclined plane?
Replies
12
Views
2K
Velocity of a hollow cylinder at the bottom of an incline
Replies
9
Views
4K
Kinematics on a frictionless incline plane
Replies
3
Views
2K
Rolling cylinder or slipping cylinder reaches bottom first?
Replies
5
Views
4K
Calculating Work and Kinetic Energy on an Inclined Plane
Replies
2
Views
3K

Hot Threads

Recent Insights

Back
Top