Answer:
Explanation:
Given a mass spring system
At t = 0.1s, the positions is at x=8cm
x(0.1) = 8cm = 0.08m
Spring constant k=16N/m
Mass attached m = 4kg
Amplitude of oscialltion A=10cm = 0.1m
The angular frequency can be calculated using
w = √k/m
Where k is spring constant in N/m
m is mass attached object to the spring in kg
w = √16/4 = √4
w = 2rad/s.
Generally, the equation of a spring is given as
x = ACos(wt+Φ)
Where,
A is amplitude in metre
w is angular frequency in rad/sec
Φ is phase in radian
x(t) = 0.1Cos(2t + Φ)
At t=0.1 x = 0.08
0.08 = 0.1Cos(0.2+Φ)
Cos(0.2+Φ) = 0.08/0.1
Cos(0.2+Φ) = 0.8
0.2+Φ = ArcCos(0.8), note angle in radiant
0.2+Φ = 0.644
Φ = 0.644 — 0.2
Φ = 0.444 rad.
The phase of the SHM is 0.444rad
The answer is E = 0.44 rad
Charcoal~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Answer:
The velocity of the boat and fisherman after he lands in the boat is 3.812m/s
Explanation:
We will solve this question on the general Derivation for general case of a man jumping n the boat
m = Mass of the man = 80kg
M= mass of the boat 37.5kg
V(m, g) = Velocity of man with respect to ground = 5.6m/s
V(b , g) = Velocity of boat with respect to ground = Vo = 0m/s ( rest)
velocity of the boat and fisherman after he lands in the boat = V1
As there is no external force acting on the man then we can apply conservation of the Linear Momentum.
m*V(m, g) + M*Vo = (M+m)V1
On substituting the values we get
V1 =
V1 = = 3.812 m/s
Therefore the velocity of the boat and fisherman after he lands in the boat is 3.812m/s.
Answer:
Answer:
a 100W light bulb costs one tenth of a kilowatt when used for one hour
so 6 hours = 6/10 of a kilowatt
= 6/10 of 6 = 3.6 Dinars
Complete Question
Consider what happens when you jump up in the air. Which of the following is the most accurate statement?
A
Since the ground is stationary, it cannot exert the upward force necessary to propel you into the air. Instead, it is the internal forces of your muscles acting on your body itself that propels your body into the air.
B
You are able to spring up because the earth exerts a force upward on you that is greater than the downward force you exert on the earth.
C
It is the upward force exerted by the ground that pushes you up, but this force cannot exceed your weight.
D
When you jump up the earth exerts a force F1 on you and you exert a force F2 on the earth. You go up because F1 > F2.
E
When you push down on the earth with a force greater than your weight, the earth will push back with the same magnitude force and thus propel you into the air
Answer:
The correct option is E
Explanation:
Generally from Newton law which states that for very action there is an equal and opposite reaction, so when you push down on the earth with a force greater than your weight, the earth will push back with the same magnitude force and thus propel you into the air