Application of surface tension:
1) A needle placed on water can be made to float due to the surface tension of water.
2) Mosquito eggs can float on water because of its surface tension.
3) Toothpaste contains soap, which reduce the surface tension and helps it spread freely in the mouth.
Answer:
v= - 4.507 i - 2.363 j
Explanation:
Given that
mc= 1490 kg
vc= 9.5 m/s ( - i)
mt= 1650 kg
vt = 6.4 m/s ( -j)
There is any external force so linear momentum will remain conserve.
Lets take final speed is v.
mc .vc + mt . vt = ( mc+mt) v
1490 x 9.5 ( - i) + 1650 x 6.4 ( -j) = ( 1490+1650) v
14,155 ( -i) + 10,560 ( - j) = 3140 v
v= - 4.507 i - 2.363 j
Answer:
Given that
For A weight Wt= 22.7 N
m₁ = 22.7/10 = 2.27 kg
Force alone inclined plane
Wt₁ = m₁ g sin θ
Wt₁ =22.7 sin 17.2°
Wt₁ = 6.7 N
For B weight Wt₂= 34.5-N
m₂ = 3.45 kg
coefficient of friction ,μ= 0.219
θ = 17.2 degree
The friction force on the block A
Fr= μ m₁ g cos θ
Fr= 0.216 x 22.7 x cos 17.2°
Fr= 4.68 N
Lets take acceleration of system is a m/s²
Tension = T
From Newtons law
Wt₂ - Wt₁ - Fr = (m₁ +m₂) a
34.5 - 6.7 - 4.68 = (2.27 + 3.45 ) a
a= 4.05 m/s²
Block B
Wt₂ - T = m₂ a
T = 34.5 - 4.05 x 3.45
T= 20.52 N
Answer:
= 922N
Explanation:
m = 64kg
v(t) = (3.0 m/s²)t + (0.20 m/s³)t².
t = 4.0s
differentiation of v(t) so the acceleration is given by
using Newton’s second law
F (net) = ΣFg = ma
⇒R - w = ma
R = m(a + g)
= 64 (9.81 + 4.6)
= 922N
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