Answer:
a) a= 8.33 m/s², T = 12.495 N
, b) a = 2.45 m / s²
Explanation:
a) this is an exercise of Newton's second law. As the upper load is secured by a cable, it cannot be moved, so the lower load is determined by the maximum acceleration.
We apply Newton's second law to the lower charge
fr₁ + fr₂ = ma
The equation for the force of friction is
fr = μ N
Y Axis
N - W₁ –W₂ = 0
N = W₁ + W₂
N = (m₁ + m₂) g
Since the beams are the same, it has the same mass
N = 2 m g
We replace
μ₁ 2mg + μ₂ mg = m a
a = (2μ₁ + μ₂) g
a = (2 0.30 + 0.25) 9.8
a= 8.33 m/s²
Let's look for cable tension with beam 2
T = m₂ a
T = 1500 8.33
T = 12.495 N
b) For maximum deceleration the cable loses tension (T = 0 N), so as this beam has less friction is the one that will move first, we are assuming that the rope is horizontal
fr = m₂ a₂
N- w₂ = 0
N = W₂ = mg
μ₂ mg = m a₂
a = μ₂ g
a = 0.25 9.8
a = 2.45 m / s²
Answer:
The Astronaut' mass is 55.99 kg.
Explanation:
Given that,
The net external force acting on the Astronaut, F = 50 N
The acceleration of the Astronaut, 
It is required to find the Astronaut' mass. We know that the force acting on an object is given by :
F = ma
m is mass of Astronaut
So, the Astronaut' mass is 55.99 kg.
Answer:
94 kg or 921.6 N
Explanation:
The velocity function is 
. The acceleration function, a(t), is the time derivative of the velocity function.
At 
,
Because the elevator is going upwards, the net acceleration, 
where g us acceleration of gravity.
The resultant weight is
Since the bathroom scale is graduated in kg, it's reading is
