Answer:
15.1 m/s²
Explanation:
Step 1: Calculate the force exerted by the friction
Friction exerts a force against the direction of the movement. On a horizontal plane, we can calculate the value of that force using the following expression.
Ff = μ × m × g
where,
μ: coefficient of kinetic friction
m: mass of the block
g: gravity
Ff = 0.50 × 10 kg × 9.81 m/s² = 49 N
Step 2: Calculate the resulting force
The horizontal force F and the friction force Ff are vectors that act in opposite directions. We can calculate the resulting force (R) by doing the subtraction.
R = F - Ff = R = 200 N - 49 N = 151 N
Step 3: Calculate the acceleration of the block
We will use Newton's second law of motion.
R = m × a
a = R/m
a = 151 N/10 kg = 15.1 m/s²
