the coefficients of Static and kinetic friction b/w body and the surface are 0.75 & 0.5 respectively.A force is applied to the body to make it just slides with constant acceleration
Answers
Given:
The coefficients of Static and kinetic friction b/w body and the surface are 0.75 & 0.5 respectively. A force is applied to the body to make it just slides with constant acceleration.
To find:
The value of constant acceleration is?
Solution:
From given, we have,
The coefficients of Static and kinetic friction b/w body and the surface are 0.75 & 0.5 respectively.
⇒ μs = 0.75
μk = 0.5
we use the formula,
Force = mass × acceleration
⇒ F = m × a
The static force is given by,
fs = μs × mg
fs = 0.75 mg
Similarly, the kinetic force is given by,
fk = μk × mg
fk = 0.5 mg
The resultant force is given by,
fs - fk = Fr
where, Fr is the resultant force with constant acceleration.
0.75 mg - 0.5 mg = Fr
0.25 mg = m × ar
ar = 0.25 g
∴ar = g/4
where, g = gravitational constant.
Therefore, the constant acceleration is g/4
Answer:
yes they are