A cart of mass 250 g is placed on a frictionless horizontal airtrack. A spring h

Question

A cart of mass 250 g is placed on a frictionless horizontal airtrack. A spring having a spring constant of 7.0 N/m is attached between the cart and the left endof the track. When in equilibrium, the cart is located 12 cm fromthe left end of the track. If the cart is displaced 4.5 cm from its equilibrium position, find thefollowing values: (a) the period at which it oscillates
1 s

(b) its maximum speed
2 m/s

(c) its speed when it is 14 cm from the left end of the track
3 m/s (a) the period at which it oscillates
1 s

(b) its maximum speed
2 m/s

(c) its speed when it is 14 cm from the left end of the track
3 m/s

Explanation / Answer

(a)    the period of oscillation    T = 2 (m / k)       = ......... s (b)    the maximum speed is given by    vmax = A            =A (k / m)            =............ m / s (c)    the speed of the cart at this distance fromequilibrium will be    v = [(k / m) (A2 -x2)]       = ........... m / s

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