How Far Does the Shell Land Beyond the Cliff Edge?

In summary, the conversation is about a cannon shooting a shell at a 43 degree angle towards a 25m-tall cliff. The minimum muzzle velocity needed for the shell to clear the top of the cliff is 32.6 m/s. To find the distance the shell lands past the edge of the cliff, one must find the velocity just as the shell clears the cliff and treat it as a new 2d projectile motion problem on flat ground.
  • #1
ledhead86
59
0
! Please Help !

A cannon, located 60.0 m from the base of a vertical 25.0m-tall cliff, shoots a 15-kg shell at 43 degrees above the horizontal toward the cliff.

I have determined:
v=47.75 m/s
v_0x= 34.92 m/s
v_oy=32.56 m/s
a_x=0
a_y=-9.8 m/s^2
x_o=0
y_o=0
x=60m
y=25m
alpha= 43 degrees

part a: What must the minimum muzzle velocity be for the shell to clear the top of the cliff? answer=32.6 m/s


Part b: The ground at the top of the cliff is level, with a constant elevation of 25.0 m above the cannon. Under the conditions of part (a), how far does the shell land past the edge of the cliff?

How do I find part b
 
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  • #2
Don't panic.
 
  • #3
Poncho said:
Don't panic.
Thanks for the help. I completely understand now.
 
  • #4
Figure out the velocity just as the shell clears the cliff. Then treat it as a new problem as if the edge of the cliff were your starting point. From there it's a simple 2d projectile motion problem on flat ground.
 

Related to How Far Does the Shell Land Beyond the Cliff Edge?

1. What is the minimum velocity question?

The minimum velocity question is a scientific concept that refers to the minimum speed required for an object to overcome a specific force and continue moving in a given direction. It is often used in physics and engineering to calculate the minimum speed needed for an object to complete a certain task or reach a specific point.

2. How is the minimum velocity question calculated?

The minimum velocity question is typically calculated using the equations of motion, which take into account factors such as the force acting on the object, its mass, and the distance it needs to travel. These equations can be solved to determine the minimum velocity needed for the object to overcome the force and reach its destination.

3. What are some real-world examples of the minimum velocity question?

Some examples of the minimum velocity question in real-life situations include calculating the minimum speed needed for a rocket to escape Earth's gravitational pull, determining the minimum speed required for a car to climb a steep hill, and figuring out the minimum speed needed for a ball to reach a target after being thrown.

4. Why is the minimum velocity question important?

The minimum velocity question is important because it helps scientists and engineers understand the relationship between an object's speed and the forces acting upon it. By knowing the minimum velocity required for an object to overcome a force, we can design and develop more efficient and effective technologies, from rockets and cars to sports equipment and machines.

5. Can the minimum velocity question be applied to all objects?

Yes, the minimum velocity question can be applied to all objects, regardless of their size or mass. However, the calculations may vary depending on the specific properties and characteristics of the object in question. For example, the minimum velocity needed for a small ball to roll up a ramp may be different from the minimum velocity needed for a large truck to climb the same ramp.

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