A block of mass 5kg rests on a horizontal surface the coefficient of friction The block & The surface is o.4. Find the frictional force (take g=9.8m/s square
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Identify the knowns and unknowns.
Knowns:
Mass ($m$) = 5 kg
Coefficient of friction ($\mu$) = 0.4
Acceleration due to gravity ($g$) = 9.8 m/s²
Unknown:
Frictional force ($F_f$)
Step 2: Calculate the normal force ($N$).
On a horizontal surface, the normal force is equal to the gravitational force.
$$N = m \times g$$
$$N = 5 \, \text{kg} \times 9.8 \, \text{m/s}^2$$
$$N = 49 \, \text{N}$$
Step 3: Calculate the frictional force ($F_f$).
The formula for frictional force is:
$$F_f = \mu \times N$$
$$F_f = 0.4 \times 49 \, \text{N}$$
$$F_f = 19.6 \, \text{N}$$
The frictional force is 19.6 N.
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