Solve Step Problem: Potential Homework

[tarkin]

Homework Statement

Please see attached image. I'm trying to do part (d), then (e) afterwards.

For (d) I can sketch the graph okay, just trying to calculate T now.

Homework Equations

T= 4k1k2/(k1+k2)²

k = ((2m/ћ)²(E-V))^½

The Attempt at a Solution

I tried substituting in k into the equation for T. But k depends on the mass of the particle, which isn't given in the question. So what can I do here? I guess one option is just finding the point on the graph, but that's not really a calculation.

 

[DrClaude]

I tried substituting in k into the equation for T. But k depends on the mass of the particle, which isn't given in the question. So what can I do here?

Look carefully at the equation for T after having substituted the equation for k.

 

[tarkin]

Look carefully at the equation for T after having substituted the equation for k.

When I subbed in k I hoped the m's would cancel but I couldn't get them to. Is it just some mistake I'm making - should they indeed cancel?

Thanks

 

[DrClaude]

When I subbed in k I hoped the m's would cancel but I couldn't get them to. Is it just some mistake I'm making - should they indeed cancel?

It should. You have k's squared both at the numerator and the denominator.

 

[tarkin]

It should. You have k's squared both at the numerator and the denominator.

Okay, I'll take another look at my working out. Thanks a million!