To solve this problem it is necessary to apply the concepts related to
conservation of energy, for this case manifested through work and kinetic energy.


Where,
F= Force (Frictional at this case
)
d= Distance

Where,
m = mass
v = velocity
Equation both terms,




Replacing with our values we have that


Therefore the shortest distance in which the truck can come to a halt without causing the crate to slip forward relative to the truck is 49.05m
Answer with Explanation:
We are given that


Spring constant,

a.Speed of ham before collision

Collision is inelastic
According to law of conservation of momentum



Kinetic energy of masses=Spring potential energy at maximum distance



Substitute the values

1 m=100 cm
b.Time period,
