Minimum Speed for Puck to Reach Top of Frictionless Ramp?

In summary, the minimum speed for a 136.4 g puck to make it to the top of a 3.31-m-long, 24° frictionless ramp is 5.15m/s. This can be calculated using the equation gh = v^2/2 and taking into account the angle of the ramp.
  • #1
talaroue
303
0

Homework Statement


What minimum speed does a 136.4 g puck need to make it to the top of a 3.31-m-long, 24° frictionless ramp?


Homework Equations


K=mV^2/2 U=mgY



The Attempt at a Solution


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  • #2
the 'y' in your equation is the vertical distance, not horizontal. So the cos24 should be sin24
 
  • #3
wrong its cos.

cos angle = b/c

f * s + potential energy = mv^2 / 2

edit: mistake if you want height then its sin.
 
  • #4
if the equation is mgh = mv^2/2 then you can cancel out the mass.

gh = v^2/2

9.82 * 1.35m = v^2 / 2

26.5 =v^2

v = 5.15m/s

but it think this is totally wrong.
 
  • #5
You have the angle, hypotenuse and want to know the opposite side. Therefore you need to use the sine.
 
  • #6
ahhhhh. Thanks guys i see where i went wrong you guys are awesome!
 

FAQ: Minimum Speed for Puck to Reach Top of Frictionless Ramp?

What is velocity?

Velocity is a measure of how fast an object is moving in a particular direction. It is a vector quantity, meaning it has both magnitude (speed) and direction.

How is velocity calculated?

Velocity is calculated by dividing the displacement (change in position) of an object by the time it took to travel that distance. The formula for velocity is v = d/t, where v is velocity, d is displacement, and t is time.

How does the angle of a ramp affect the velocity of a puck?

The angle of a ramp can affect the velocity of a puck by changing the force of gravity acting on the puck. A steeper ramp will have a greater gravitational force, resulting in a faster velocity for the puck. Additionally, the angle of the ramp can also affect the direction of the puck's velocity.

What other factors can affect the velocity of a puck up a ramp?

The mass and friction of the puck, as well as the texture and incline of the ramp, can also affect the velocity of the puck. The amount of force applied to the puck and any external forces acting on it can also impact its velocity.

How can velocity be measured for a puck up a ramp?

Velocity can be measured using a variety of methods, such as using a stopwatch to time how long it takes for the puck to travel a certain distance on the ramp. Another method is using sensors to track the displacement and time of the puck's motion, which can then be used to calculate its velocity.

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