Answer:
Explanation:
Given that,
The spring constant
K = 1N/m
Frequency of motion
f = 14Hz
We want calculate the mass m?
The frequency of spring system is related to the mass by
From w = √k/m
Where w = 2πf
f = 1/2π √k/m
Where,
w is angular frequency in rad/s
m is mass of object attached in kg
k is the spring constant in N/m
f Is the frequency in Hz
Then, make m subject of formula
Multiply both sides by 2π
2πf = √k/m
Square both sides
4π²f² = k/m
Then, k= 4π²f² × m
m = k / 4π²f²
m = 1 / (4π² × 1.4)
m = 1 / 55.27
m = 0.0181 kg
m= 18.1 g
The mass of the object attached in 18.1 g or 0.0181 kg
Answer:
The percentage change in frequency is 10%.
Explanation:
Given that,
Amplitude decreases by 1/10 per second.
Resonance = 10 Hz
We need to calculate the change in frequency
Using formula of change in frequency

Put the value into the formula


We need to calculate the resonant frequency
Using formula of resonant frequency

Put the value into the formula


We need to calculate the percentage change in frequency
Using formula of percentage change in frequency


Hence, The percentage change in frequency is 10%.
We might kill too many animals and mess up the food chain because some bigger fish won't be able to eat smaller fish and some smaller fish might not have any organisms to eat.
Answer:
power drain on an ideal battery, P = 0.017 W
Given:



Since,
and
are in parallel and this combination is in series with
, so,
Equivalent resistance of the circuit is given by:



power drain on an ideal battery, P =
P = 
P = 0.017 W
Answer:
1. Photosynthesis releases oxygen gas as a product.
2. Subtracting cellular respiration from gross primary productivity
3. True
Explanation:
1. Photosynthesis is the process by which autotrophic organisms synthesize their food in form of sugars in the presence of sunlight. Photosynthetic process combines carbon dioxide (CO2) and water (H2O) to form glucose (C6H12O6) and oxygen gas as products. The equation is as follows:
6CO2 + 6H2O → C6H12O6 + 6O2
2. Net primary productivity, denoted by NPP, refers to the amount of biomass present in an ecosystem. It can be calculated by subtracting the amount of CO2 lost via cellular respiration from the amount produced called Gross primary productivity (GPP). That is;
NPP = GPP - cellular respiration
3. The process by which organic matter is synthesized from inorganic ones by organisms called AUTOTROPHS or PRIMARY PRODUCERS is called PRIMARY PRODUCTIVITY. Examples of autotrophic organisms are green plants, algae etc. Hence, in an ecosystem that have a high primary productivity, there would be a rapid rate of conversion of solar energy to biomass via PHOTOSYNTHESIS.