Answer: The mass of the sculpture is 11.8kg
Explanation:
Using the equation of fundamental frequency of a taut string.
f = (1/2L)*√(T/μ) .... (Eqn1)
Where
f= frequency in Hertz =80Hz
T = Tension in the string = Mg
M represent the mass of the substance (sculpture) =?
g= 9.8m/s^2
L= Length of the string=90cm=0.9m
μ= mass density = mass of string /Length of string
mass of string =5g=0.005kg
L=0.9m
μ=0.005/0.9 = 0.0056kg/m
Using (Eqn1)
80= 1/(2*0.9) √(T/0.0056)
144= √(T/0.0056)
Square both sides
20736= T/0.0056
T= 116.12N
Recall that T =Mg
116.12= M * 9.8
M=116.12/9.8
M= 11.8kg
Therefore the mass of the sculpture is 11.8kg
Answer:
C. All muscle contractions after Sarah reaches fatigue (about an hour into her run)
Explanation:
At the start of the marathon race, the main source of Sarah's energy will be the Adenosine Triphosphate (ATP) that her muscle has stored. After the exhaustion of the ATP stored, which averagely will be about an hour into the race, the creatine phosphate (which will be converted to ATP) will be her major energy source. But due to the non functionality of the creatine phosphate that she produces, there will be muscle contractions which will affect her race. Therefore, Sarah will suffer muscle contractions after she reaches fatigue( about an hour into her run)
Answer:
The height of the ball, h = 81.63 m
The velocity of the ball at the highest point is zero
Explanation:
Given data,
The mass of the ball, m = 1 kg
The initial velocity of the ball, u = 40 m/s
Using the conservation of energy, the total mechanical energy of the ball initially at u = 40 m/s
E = P.E + K.E
E = 0 + ½ mv²
= ½ x 1 x 40²
= 800 J
The maximum height the ball reaches with the energy E = 20 J
The K.E of the ball is zero at the maximum height
E = mgh
h = E / mg
= 800 / (1 x 9.8)
= 81.63 m
The height of the ball, h = 81.63 m
The velocity of the ball at the highest point is zero.
Answer:
2.1406 × m/sec
Explanation:
we know that energy is always conserved
so from the law of energy conservation
here V is the potential difference
we know that mass of proton = 1.67× kg
we have given speed =50000m/sec
so potential difference
now mass of electron =9.11×
so for electron
so the velocity of electron will be 2.1406× m/sec
Answer:
- Peat soil
- Loamy soil
- Clay soil
Explanation:
Peat soil is dark, highly decomposed organic matter found in soil.
Loamy soil is a mixture of materials that holds moisture and drains well and also contains coarse grains and allows water to drain quickly.
Clay soil contains medium grains and retains water. Also it contains fine grains and has little space for water.