(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

An object of mass m is suspended from the top of a cart by a string of length L. The cart and object are initially moving to the right at a constant speed vi. The cart comes to rest after colliding and sticking to a bumper, and the suspended object swings through an angle θ.

(a) Show that the initial speed is vi = sqrt 2gL(l-cosθ).

(b) If L = 2.0 m and θ = 40.0°, find the initial speed of the cart.

2. Relevant equations

KE = PE

1/2mv^{2}= mgh

L1= L-(Lcosθ)

3. The attempt at a solution

1/2mv^{2}= mgh

v^{2}= 2mgh/m

v = sqrt 2gh

stuck!

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# Homework Help: Show that the initial speed is vi = sqrt 2gL(l-cosθ).

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