Determine the speed of the smaller mass

  • Thread starter Thread starter Gughanath
  • Start date Start date
  • Tags Tags
    Mass Speed
AI Thread Summary
To determine the speed of the smaller mass after sliding down the incline, first calculate its velocity at the bottom using energy conservation principles, converting potential energy to kinetic energy. For the elastic collision with the larger mass, apply the conservation of momentum and kinetic energy to set up simultaneous equations. The initial speed of the smaller mass can be derived from its height and angle on the incline. After solving the equations, you can find the final speeds of both masses post-collision. Understanding these principles will clarify the process of solving the problem.
Gughanath
Messages
118
Reaction score
0
A block of mass m = 2.30 kg slides down a 30.0° incline which is 3.60 m high. At the bottom, it strikes a block of mass M = 7.10 kg which is at rest on a horizontal surface, Fig. 7-41. (Assume a smooth transition at the bottom of the incline, an elastic collision, and ignore friction.)
How can I determine the speed of the smaller mass and the greater mass after the colision. This is really confusing me :confused: . please help
 
Physics news on Phys.org
In an elastic collision, momentum and kinetic energy are conserved for the system.
 
So from this I should be able to make a simultaneous equation?
 
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}...
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...
Back
Top