Mass, m = 85 kg, velocity = 15 m/s, radius = 20m.
Centripetal force = mv²/r
F = 85*15²/20 = 85*15*15/20 = 956.25 N
Dimensional Formula of Density
The dimensional formula of density is given by,
[M1 L-3 T0]
Where,
M = Mass
L = Length
T = Time
Derivation
Density (ρ) = Mass × Volume-1 . . . . . (1)
The dimensional formula of volume = [M0 L3 T0] . . . . (2)
And, the dimensional formula of mass = [M1 L0 T0] . . . . (3)
On substituting equation (2) and (3) in equation (1) we get,
Density = Mass × Volume-1
Or, (ρ) = [M1 L0 T0] × [M0 L3 T0]-1 = [M1 L-3 T0]
Therefore, density is dimensionally represented as [M1 L-3 T0].
Hope i helped!
Answer:
Power = Energy transferred / time
Explanation:
Let u = the vertical speed at launch, m/s
g = 9.8 m/s², acceleration due to gravity.
Part (a)
After 2.4 s, the vertical speed is 10 m/s.
Therefore
(10 m/s) = (v ft/s) - (9.8 m/s²)*(2.4 s)
v = 10 + 9.8*2.4 = 33.52 m/s
Answer: 33.52 m/s upward
Part (b)
After 5.1 s, the vertical speed is
(33.52 m/s) - (9.8 m/s²)*(5.1 s) = -16.46 m/s.
This means that the rock reached the maximum height and began falling downward.
Answer: 16.46 m/s downward
