The lower block in the figure is pulled on by a rope with a tension force of 20
ID: 1339793 • Letter: T
Question
The lower block in the figure is pulled on by a rope with a tension force of 20 N . The coefficient of kinetic friction between the lower block and the surface is 0.33. The coefficient of kinetic friction between the lower block and the upper block is also 0.33.
(Figure 1)
Part A
What is the acceleration of the 2.0 kg block?
The lower block in the figure is pulled on by a rope with a tension force of 20 N . The coefficient of kinetic friction between the lower block and the surface is 0.33. The coefficient of kinetic friction between the lower block and the upper block is also 0.33.
(Figure 1)
Part A
What is the acceleration of the 2.0 kg block?
Explanation / Answer
here,
let the accelration of the block of 2 kg be a2
m2 = 2 kg
m1 = 1 kg
The coefficient of kinetic friction between the lower block and the surface is u1 = 0.33
The coefficient of kinetic friction between the lower block and the upper block is also u2 = 0.33
let the tension in the rope2 be t2
for block of mass 1 kg
t - u1*m*g = m1*a
t - 0.33 * 1 * 9.8 = 1 * a
t - a = 3.23 ....(1)
for mass m2
20 - t - u*(m1 + m2) * g - u1 * m1*g = m2*a
20 - t - 0.33 * 3 * 9.8 - 0.33 * 1 * 9.8 = 2 * a
2a + t = 7.064 ....(2)
from equation (1) and (2)
a = 1.28 m/s^2
the accelration of the block is 1.28 m/s^2
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