Answer:
The heat gain of the room due to higher efficiency is 2.84 kW.
Explanation:
Given that,
Output power of shaft = 75 hp
Efficiency = 91%
High efficiency = 95.4%
We need to calculate the electric input given to motor
Using formula of efficiency




We need to calculate the electric input
For, heigh efficiency



The reduction of the heat gain of the room due to higher efficiency is

Put the value into the formula


Hence, The heat gain of the room due to higher efficiency is 2.84 kW.
Answer: the force increases as the angle increases
Explanation:
If we assume the incline plane is frictionless, the only force acting on an object on the incline plane is the force of gravity:

where m is the mass and g the acceleration due to gravity.
However, the actual force that makes the object sliding down along the incline is not the gravity itself, but the component of the force of gravity parallel to the surface of the incline, which is given by

where
is the angle of the incline.
Therefore, we see that as the angle of the incline increases, the force on the object increases.
Answer:
Explanation:
mass of astronaut, M = 66.5 kg
mass of tool, m = 2.3 kg
velocity of tool, v = 3.10 m/s
Let the velocity of astronaut is V.
(A) According to the conservation of moemntum
Momentum of astronaut = Momentum of tool
M x V = m x v
66.5 x V = 2.3 x 3.10
V = 0.107 m/s
(B) The direction of motion of astronaut is opposite to the direction of motion of tool.