A stone of 1 kg is thrown with a velocity of 20 m/s across the frozen surface of a lake and comes into 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:
Mass = 1kg
u = 20m/s
v = 0
s = 50m
a= ?
V² - U² = 2as
=> 0² - 20² = 2 ( a ) ( 50 )
=> -400 = 100 a
=> a = - 400 / 100 = -4 m/s²
Therefore Frictional Force = Mass * Acceleration
=> Force = 1 kg * -4 m/s² = -4 kg.m/s² or -4 N
Hence the frictional force is -4 N.
Hope my answer helped !
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꧁Ⓐ︎Ⓝ︎Ⓢ︎Ⓦ︎Ⓔ︎Ⓡ︎꧂
Given :
Initial velocity of the stone, u = 20 m/s.
Final velocity of the stone, v = 0 m/s.
Mass of the stone, m = 1 kg.
Distance covered by the stone, s = 50 m.
Explanation :
By third equation of motion,
v² - u² = 2as
0² - 20² = 2a × 50
- 400 = 100 a
-400/100 = a
-4 = a
➪ a = - 4 m/s²
The acceleration is -4 m/s²
F = ma
= 1 × -4
= - 4 N
Thus, force of friction between the stone and ice is - 4 N
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