Answer:
(a)
(b) Kinetic Energy of planet with mass m₁, is KE₁ = 1.068×10³² J
Kinetic Energy of planet with mass m₂, KE₂ = 2.6696×10³¹ J
Explanation:
Here we have when their distance is d apart
Energy is given by
Conservation of linear momentum gives
m₁·v₁ = m₂·v₂
From which
v₂ = m₁·v₁/m₂
At equilibrium, we have;
which gives
multiplying both sides by m₂/m₁, we have
Such that v₁ =
Similarly, with v₁ = m₂·v₂/m₁, we have
From which we have;
and
The relative velocity = v₁ + v₂ =
v₁ + v₂ =
(b) The kinetic energy KE =
Just before they collide, d = r₁ + r₂ = 3×10⁶+5×10⁶ = 8×10⁶ m
= 10333.696 m/s
=2583.424 m/s
KE₁ = 0.5×2.0×10²⁴× 10333.696² = 1.068×10³² J
KE₂ = 0.5×8.0×10²⁴× 2583.424² = 2.6696×10³¹ J.
Answer:
2.064 N.m
Explanation:
Torque: This is the force that act on a system, which tends to cause rotation or twisting. The S.I unit of Torque is N.m
Torque is represented mathematically as,
T = F×d........................ Equation 1
Where T = Torque, F = Force, d = perpendicular distance.
Given: F = 4.8 N, d = 0.43 m.
Substitute into equation 1
T = 4.8×0.43
T = 2.064 N.m
Hence the Torque produced = 2.064 N.m
It will accelerate at 6.2 m/s/s west.
Answer:
No, the isothermal process is the not same as an adiabatic process for an ideal gas.
Explanation:
There is no change in the internal energy of an ideal gas undergoing an isothermal process since the internal energy depends only on the temperature.
But in the adiabatic process, there is no heat transfer, but work transfer can take place which causes the change in the internal energy due to which there is a change in temperature of an ideal gas.
Hence, the isothermal process is the not same as an adiabatic process for an ideal gas.