Block launching off ramp given initial velocity and Friction

In summary, the problem involves a block at the base of a ramp with an angle of 35 degrees. The ramp is 5 m long and has coefficients of static and kinetic friction of 0.6 and 0.2 respectively. The block is given an initial velocity of 12 m/s up the ramp and the goal is to find the distance from the ramp where the block will land. The equation used to find the final velocity of the block exiting the ramp is 0.5 * m * v^2 = m * h * g + m * g * cos (theta) * Kf * L + 0.5 * m * V^2. The final answer is 9.75 m,
  • #1
physicN00Bz
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Homework Statement



a block is at the base of a ramp of angle 35degrees. The ramp is 5 m long and has a coefficient of static and kinetic friction of .6 and .2 respectively. The block is initially given a velocity of 12 m/s up the ramp, how far from the ramp will the block land?

my main problem is finding the final velocity as the block exit the ramp, honestly i really don't know where to start.

Homework Equations


to find the final velocity of the block exiting the ramp i use

0.5 * m * v^2 = m * h * g + m * g * cos (theta) * Kf * L + 0.5 * m * V^2


The Attempt at a Solution



The answer is 9.75 m, all of my answer come out to be 8.57m or something close, what am i doing wrong? how do i applied the static friction into the equation?
 
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  • #2
physicN00Bz said:
to find the final velocity of the block exiting the ramp i use

0.5 * m * v^2 = m * h * g + m * g * cos (theta) * Kf * L + 0.5 * m * V^2

This equation gives the final speed the block leaves the ramp. How do you proceed to get the the distance from the ramp the block will land?

ehild
 

Related to Block launching off ramp given initial velocity and Friction

1. How does the initial velocity affect the block's launch off the ramp?

The initial velocity is the speed at which the block is launched off the ramp. It determines the block's kinetic energy, which is the energy of motion. The higher the initial velocity, the more kinetic energy the block has, resulting in a greater distance traveled off the ramp.

2. What role does friction play in the block's launch off the ramp?

Friction is the force that opposes motion between two surfaces in contact. In this scenario, friction acts against the motion of the block as it slides down the ramp. The amount of friction depends on the type of surface and the weight of the block. More friction means less speed and distance traveled off the ramp.

3. How can you calculate the distance the block will travel off the ramp?

To calculate the distance the block will travel off the ramp, you can use the formula d = (v^2 - u^2) / 2f, where d is the distance, v is the final velocity, u is the initial velocity, and f is the coefficient of friction. You can plug in the known values and solve for d.

4. What happens if the initial velocity is too low or the friction is too high?

If the initial velocity is too low, the block will not have enough kinetic energy to overcome the force of friction and will not travel far off the ramp. Similarly, if the friction is too high, it will act against the block's motion and reduce its speed and distance traveled off the ramp.

5. How does the type of surface affect the block's launch off the ramp?

The type of surface the ramp is made of can greatly affect the block's launch. A rough surface will have a higher coefficient of friction, resulting in a slower and shorter launch. A smooth surface will have a lower coefficient of friction, allowing the block to travel further off the ramp with a higher initial velocity.

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