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PhysicsQ&A LibraryA block with mass M = 5.75 kg is sliding in the positive x-direction at Vi = 8.40 m/s on a frictionless surface when it collides elastically in one dimension with a stationary block with mass m = 1.75 kg.Determine the velocities, Vf and vf, of the objects after the collision.Vf= m/svf= m/sQuestion

Asked Feb 22, 2020

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A block with mass M = 5.75 kg is sliding in the positive *x*-direction at V_{i} = 8.40 m/s on a frictionless surface when it collides elastically in one dimension with a stationary block with mass m = 1.75 kg.

Determine the velocities,

V_{f}

and

v_{f},

of the objects after the collision.

V
_{f} |
= | m/s |

v
_{f} |
= | m/s |

Step 1

Consider the diagram given below for the given system.

Here, *v*_{i} is zero because the mass *m* is at rest initially.

Since the collision is elastic, the linear momentum of the system is conserved.

Thus,

Step 2

For the elastic collision total kinetic energy of the system before and after the collision is conserved.

Thus,

Substitute the value of *v*f in the above equation from equation (1).

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