Gravitational force = G ( m1 m2 ) / r²
3 = G ( m1 m2 ) / ( 10 )²x = G ( m1 m2 ) / ( 5 )²We shall divide those two equations:3 / x = 1/100 / 1/25 = 25 / 100 = 1 / 4x · 1 = 3 · 4x = 12Answer:C. 12 N
As per energy conservation in the reversible engine we can say

here we know that


now from above equation


now we can convert it into kW


so above is the power input to the refrigerator
now to find COP we know that


so COP of refrigerator is 2.2
Answer:
speed=abs(v)=40ms^-1
Explanation:
acceleration, a = (v-u)/t
since initial velocity u=0 (at rest) and a=8ms^-2,
8=v/5
hence after 5 seconds, v=40ms^-1
Answer:
The induced emf between two end is
V
Explanation:
Given:
Length of rod
m
Height
m
Magnetic field
T
For finding induced emf,

Where
velocity of rod,
For finding the velocity of rod.
From kinematics equation,

Where
initial velocity, 



Put the velocity in above equation,

V
Therefore, the induced emf between two end is
V
Answer:
72%
Calculating Efficiency:
The amount of work obtained from a machine is always less than the amount of work put into it. Thisis because some of the work is lost due to friction. The efficiency of a machine can be calculated usingthe following formula:Percent Efficiency = (work output-Machine / work input-You) x 100%