Answer:
T = mg - (m²g/(I/R² + m))
Explanation:
Let T be the tension in the cable between the drum and the bucket
Now, by applying newton's second law of gravity on the downward movement of the bucket, we will obtain;
mg - T = ma - - - - (eq1)
Now, on the drum , a torque of TR will be acting which will create an angular acceleration of "α" in it.
Where R is the radius.
Let "I" denote the moment of inertia of the drum. Thus, we have;
TR = Iα
Now, the angular acceleration is expressed in the form;
α = a/R
Where a is the linear downward acceleration.
Thus;
TR = Ia/ R
T = Ia/ R²
Let's put Ia/ R² for T into equation 1 to give;
mg - Ia/R² = ma
Ia/R² + ma = mg
a( I/R² + m) = mg
a = mg/(I/R² +m)
Now putting mg/(I/R² +m) for a in eq 1 gives;
mg - T = m(mg/(I/R² +m))
T = mg - m(mg/(I/R² +m))
T = mg - m²g/(I/R² + m)
I’m pretty sure that it’s D
Answer: A heat engine cannot be 100% efficient because, according to the law, energy added as heat is always greater than energy removed as heat.
Answer:
75 N
Explanation:
t = Time taken = 2 seconds
u = Initial velocity
v = Final velocity
s = Displacement = 30 m
a = Acceleration
The acceleration due to gravity on the planet is 15 m/s²
Force
F = ma
The gravitational force exerted on the object near the planet’s surface is 75 N
The answer is A. Cones, as rods are not sensitive to color. :)