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1. (a) A child pulls a hollow empty box of mass 1.0 kg along a smooth (hence
quasi-frictionless) floor by means of a string attached to the box so that the
string is horizontal. Calculate the tension (force) in the string when the box
is accelerating at 1.5 m s–2.
(b) A toy is placed in the box and the acceleration is reduced to 0.5 m s–2 with
the same force. What is the mass of the toy?
(c) How many such identical toys must be placed in the box to reduce the
acceleration to
1
6
m s–2 ?
2. (a) A bullet of mass 15 g travelling with a velocity of 150 m/s strikes a tree and
penetrates a distance of 250 mm into the timber before coming to rest. What
was the average acceleration of the bullet and what was the average force
causing this acceleration?
(b) What velocity would the bullet need to penetrate to a depth of 300 mm?
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