Answer:
a). M = 20.392 kg
b). am = 0.56 (block), aM = 0.28 (bucket)
Explanation:
a). We got N = mg cos θ,
f =
=
If the block is ready to slide,
T = mg sin θ + f
T = mg sin θ + .....(i)
2T = Mg ..........(ii)
Putting (ii) in (i), we get
M = 20.392 kg
b). .............(iii)
Here, l = total string length
Differentiating equation (iii) double time w.r.t t, l, h and h' are constants, so
.....................(iv)
We got, N = mg cos θ
∴
................(v)
Mg - 2T = M
(from equation (iv))
.....................(vi)
Putting (vi) in equation (v),
Using equation (iv), we get,
I think the answer would be C. G<span>ravitational force is proportional to the square of the distance between the centers of both bodies. </span>
Well, first of all, the truck's velocity is constantly changing, not 'uniform'.
Velocity consists of speed and direction. So, even if the truck's speed is
constant, its direction keeps changing as long as it's on a circular curve,
so its velocity is constantly changing.
The force needed to keep a mass moving in a circle is
F = (mass) x (speed)² / (radius)
3300 N = (1600 kg) (13 m/s)² / R
3300 kg-m/s² = (1600 kg) (169 m²/s²) / R
R = (1600 kg) · (169 m²/s²) / (3300 kg·m/s²)
= (1600 · 169 / 3300) meters
= 81.9 meters
The best answer to fill in the blank should be ''continuation'' because series means a lot and lines are long, narrow, figures, so its continuation since its constant.
Claudia's mass is 51 kg, therefore her weight is
W = (51 kg)*(9.8 m/s) = 499.8 N
The bungee cord extends by x = 5m due to the weight.
By definition the spring constant for the bungee cord is
k = W/x = (499.8 N)/(5 m) = 99.96 N/m
Answer: The spring constant is 100 N/m (nearest tenth)