A granite cube slides down a frictionless ramp. At the bottom, just as it exits onto a horizontal table, it collides with a steel cube at rest. How high above the table should the granite cube be released to give the steel cube a speed of ?
The height of the table when the steel cube is released is
Mass of granite, Mass of steel cube, Speed of steel cube,
The angle of the slope,
We need to figure out how far above the table the granite cube should move such that the steel cube collides with it at a specific velocity.
We will use both momentum and energy conservation to accomplish this. Consider a case in which a granite cube collides with a steel cube, and we treat it as an elastic collision. Object 2 is also at rest here. We don't need to think about the angle of the ramp because we need to think about the exact moment before and after the collision. As a result, we may compare this circumstance to a head-on collision.
Using the model's equation:
Applying conservation principle,
A plastic cart and a lead cart can both roll without friction on a horizontal surface. Equal forces are used to push both carts forward for a distance of , starting from rest. After traveling , is the momentum of the plastic cart greater than, less than, or equal to the momentum of the lead cart? Explain.
In FIGURE P11.57, a block of mass m slides along a frictionless track with speed . It collides with a stationary block of mass M. Find an expression for the minimum value of that will allow the second block to circle the loop-the-loop without falling off if the collision is (a) perfectly inelastic or (b) perfectly elastic.
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