The kinetic energy of the cart is 24 J.
<u>Explanation:</u>
The acceleration of a given mass from rest to the velocity is known as kinetic energy. It gains energy from acceleration and remains in this state until the speed of the object changes.
The kinetic energy is the given by,
K.E = 1/2 mv^2
Given the mass m = 3 kg, v = 4 m / s.
K.E = 1/2
3
(4)^2
K.E = 24 J.
Explanation:
Given that,
Mass of the block, m = 300 g = 0.3 kg
Linear spring constant, k = 6.5 N/m
(a) Let T is the period of the block's motion. It is given by :

where
= angular frequency
Also, 


T = 1.34 seconds
(b) The maximum acceleration of the block is, 
The maximum acceleration is given by :

A is the amplitude of the motion,




A = 0.09 meters
Hence, this is the required solution.