Answer:
The acceleration of the ball as it moves down the grassy incline, if constant, is 5.1 m/s²
Explanation:
Initial velocity, u = 0m/s
Acceleration = ?
Vertical distance covered as at t=4.1s, H = 43m
Using the equations of motion,
H = ut + 0.5at²
43 = 0 + 0.5a (4.1)²
a = 43/(0.5×4.1²) = 5.1 m/s²
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a. True
b. False
To determine the wave speed from purely kinematic quantities, you need to know the wavelength of the wave. What is the wavelength λ of the fundamental mode in the C string of the cello?
Explanation:
Given that,
Fundamental frequency of the string, f = 65.4 Hz
Length of the string, l = 0.6 m
Mass, m = 14.4 g = 0.0144 kg
(a) Let is the mass per unit length of the string. It can be calculated as :
(b) If f is the fundamental frequency of the string, the wavelength of the fundamental mode is given by :
n = 1
Hence, this is the required solution.
The mass per unit length of the string is 0.024 kg/m, and the wavelength is 1.2 meters.
It is defined as the number of waves that crosses a fixed point in one second known as frequency. The unit of frequency is per second.
We have:
Fundamental frequency = 65.4 Hz
Length of the vibrating string portion = 0.6 meter
Mass of the vibrating string portion = 144 grams
We know the formula for mass per unit length:
( m = 144 grams ⇒ 0.0144 kg)
The wavelength of the fundamental mode is given by:
(n = 1)
Thus, the mass per unit length of the string is 0.024 kg/m, and the wavelength is 1.2 meters.
Learn more about the frequency here:
B. Fluorescent lamps operate at a higher temperature than incandescent lamps.
C. Fluorescent lamps dissipate more energy as light instead of heat than incandescent lamps.
D. Fluorescent lamps produce light with less glare than incandescent lamps.
Answer;
B. Fluorescent lamps operate at a higher temperature than incandescent lamps.
Explanation;
-A fluorescent lamp, is a type of electric light (lamp) that uses ultraviolet emitted by mercury vapor to excite a phosphor, which emits visible light.
-A fluorescent lamp produces less heat, thus, it is much more efficient. A fluorescent bulb can produce between 50 and 100 lumens per watt. This makes fluorescent bulbs four to six times more efficient than incandescent bulbs.
-Fluorescent lamps operate best around room temperature. At much lower or higher temperatures, efficacy decreases.
Explanation:
Newton's second law of motion says that the net force is equal to the mass times acceleration:
F = ma
If the net force is halved, and the mass stays the same, the acceleration will be halved as well.
F/2 = m a/2
Answer:
Melting of ice is an endothermic process, meaning that energy is absorbed. When ice spontaneously melts, ΔH (change in enthalpy) is "positive". ΔS (entropy change) is also positive, because, becoming a liquid, water molecules lose their fixed position in the ice crystal, and become more disorganized. ΔG (free energy of reaction) is negative when a reaction proceeds spontaneously, as it happens in this case. Ice spontaneously melts at temperatures higher than 0°C. However, liquid water also spontaneously freezes at temperatures below 0°C. Therefore the temperature is instrumental in determining which "melting" of ice, or "freezing" of water becomes spontaneous. The whole process is summarized in the Gibbs free energy equation:
Explanation: