To determine the mass of the block, consider the following analysis using the given data:
Friction: Since the block is moving, we deal with kinetic friction in this scenario.
Acceleration Calculation:
a=‌=‌=‌m∕ s2Here,
v is the final velocity,
u is the initial velocity, and
t is the time.
Acceleration Calculation:
a=‌=‌=‌m∕ s2Here,
v is the final velocity,
u is the initial velocity, and
t is the time.
Net Force Calculation:
The net force acting on the block can be expressed as:
F−fk=m×awhere
F=20N is the applied force and
fk is the force due to kinetic friction.
Kinetic Friction Force:
fk= coefficient of kinetic friction
× normal force
=0.25×m×g Using the Net Force Equation:
Substitute the values into the equation:
20−0.25×m×10=m×‌Solving for
m :
20−2.5m=‌m Rearranging the terms gives:
20=‌m+2.5mCombine the terms:
‌20=(‌)m‌20=‌m Simplifying the equation:
m=‌Therefore,
m≈2.2‌kgThus, the mass of the block is approximately 2.2 kg .