Answer:
6.53 m/s²
Explanation:
Let m₁ = 5 kg and m₂ = 10 kg. The figure is attached and free body diagrams of the objects are also attached.
Both objects (m₁ and m₂) have the same magnitude of acceleration(a). Let g be the acceleration due to gravity = 9.8 m/s². Hence:
T = m₁a (1)
m₂g - T = m₂a (2)
substituting T = m₁a in equation 2:
m₂g - m₁a = m₂a
m₂a + m₁a = m₂g
a(m₁ + m₂) = m₂g
a = m₂g / (m₁ + m₂)
a = (10 kg * 9.8 m/s²) / (10 kg + 5 kg) = 6.53 m/s²
Both objects have an acceleration of 6.53 m/s²
Answer:
%
Explanation:
We have given cooler temperature that is
= 6°C =273+6=279 K
And the warm temperature of water that is ![T_h=16^{\circ}C=16+273=289\ K](https://tex.z-dn.net/?f=T_h%3D16%5E%7B%5Ccirc%7DC%3D16%2B273%3D289%5C%20K)
The maximum possible efficiency is given by ![\eta =1-\frac{T_c}{T_h}](https://tex.z-dn.net/?f=%5Ceta%20%3D1-%5Cfrac%7BT_c%7D%7BT_h%7D)
So maximum efficiency
%
It defines that if two thermodynamic systems are each in equilibrium with a third system, then they are in equilibrium with each other.
Answer:
a' =4.15 m/s²
Explanation:
Given that
m= 3.2 kg
F₁ = 1.9 i −1.9 j N
F₂=3.8 i −10.1 j N
From second law of Newton's
F(net) = m a
F₁ + F₂ = m x a
1.9 i −1.9 j + 3.8 i −10.1 j = 3.2 a
a = 1.78 i - 3.75 j m/s²
The resultant acceleration a'
![a'=\sqrt{1.78^2+3.75^2}\ m/s^2](https://tex.z-dn.net/?f=a%27%3D%5Csqrt%7B1.78%5E2%2B3.75%5E2%7D%5C%20m%2Fs%5E2)
a' =4.15 m/s²