5. A truck starts from rest and rolls down a hill with a consta
acceleration. It travels a distance of 400 m in 20 s. Find its
acceleration. Find the force acting on it if its mass is
7 tonnes (Hint: 1 tonne = 1000 kg.)
6. A stone of 1 kg is thrown with a velocity of 20 m s-1 across
the frozen surface of a lake and comes to rest after travelling
a distance of 50 m. What is the force of friction between the
stone and the ice?
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Answer:
5. by newtons eq of motion
s =ut +1/2at^2
400 =1/2 a20×20
400 =1/2 a 400
a =2
force =mass ×acc
F = 7000×2
F =14000 N
6. by Newton eq of motion
v^2 - u^2 =2as
400= 2 a 50
400/100 =a
a = 4
by work energy theorem
1/2 m v^2 =F ×s
1/2 ×1×20×20= F 50
200÷50= F
F =4N
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