Answer:
a) 60 N
b) 860 N
Explanation:
Given that,
= 100 kg
= 20 kg
= 8.0 
= 3.0
a) By Newton's Law,
∑
∑
Hence,
b) By Newton's Law
∑
Hence,
Net force acting on 100 kg mass,
Answer:
w = 0.55 rad / s
Explanation:
For this exercise let's use the conservation of angular momentum, let's write the moment in two moments
Initial
L₀ = r p + 0
L₀ = r mv
The first term is the angular momentum of the mass
Final
Lf = (I + m r²) w
Where I is the moment of inertia of the stool and the other term is the moment of inertia of the mass
L₀ = Lf
r mv = (I + m r²) w
w = m r v / (I + m r²)
Let's calculate
w = 2.0 0.45 3.0 / (4.5 + 2.0 0.45²)
w = 2.7 / 4.9
w = 0.55 rad / s
Answer:
Current, I = 5.3 A
Explanation:
It is given that,
Radius of circular loop, r = 3 mm = 0.003 m
Magnetic field strength, B = 1.1 mT = 0.0011 T
We need to find the magnitude of the current that flows through the wire. The magnetic field for a current carrying wire is given by :
I = 5.25 A
or
I = 5.3 A
So, the magnitude of the current that flows through the wire is 5.3 A. Hence, this is the required solution.
Since the gravity at the moon is around 6 times weaker, we have that the downwards pull is around 6 times smaller. In equations, we have that g of the moon=g of Earth/6 and since the weight is F=m*g, the force is 1/6th of the force on earth. Hence, the distance is going to be around 6 times larger than the distance traversed on Earth and thus the correct relation is A=6y.
