Answer:
36 m/s
Explanation:
The speed of wave is a product of wavelength and frequency, expressed as s=fw where f is frequency in Hz and w is wavelength. Wavelength is the distance between successive crests while frequency is also the reciprocal of time. Amplitude has no effect on the velocity of waves. Substituting frequency with 12 Hz and wavelength with 3 m then the speed will be
S=3*12=36 m/s
Therefore, the speed is 36 m/s
Answer:
(c) 10.29 J
(d) 113.19 J
(e) 113.19 J
(f) 10061 N/m
Explanation:
15 cm = 0.15 m
Let g = 9.8 m/s2
(c) The work done by gravitational force is the product of gravity force and the distance compressed

(d) By using law of energy conservation with potential energy reference being 0 at the maximum compression point. As the ball falls and come to a stop at the compression point, its potential energy is transferred to elastic energy, which is the work that the mattress does on the ball:


where h = 1.5 + 0.15 = 1.65 m is the vertical distance that it falls.

(e) Before the compression, the potential energy of the mattress is 0. After the compression, the potential energy is 113.19J. So it has increased by 113.19J due to the potential energy transferred from the falling ball.
(f) 


Fnet=mass x acceleration
=650 x 4
=2600N
In the case of work (and also energy), the standard metric unit is the Joule (abbreviated J). One Joule is equivalent to one Newton of force causing a displacement of one meter. In other words, The Joule is the unit of work (if that helped any!)
Answer:
C) The densities of the samples are different, so a chemical reaction has occurred.
Explanation:
Given,
The volume of the sample A, v = 45 cm³
The mass of the sample A, m = 0.5 g
The volume of the sample B, v = 65 cm³
The mass of the sample B, m = 1.3 g
To find the whether there is a chemical reaction has occurred, first to examine the physical properties of the samples.
The color of the samples remains the same. This will not lead to valid result. The scientist need to examine further.
Next level is to check the densities of the substance.
The density of the Sample A
ρₐ = 0.5/45
= 0.011 g/cm³
The density of sample B
ρₓ = 1.3/65
= 0.02 g/cm³
On analyzing the densities of the samples, sample A is less denser than sample B.
Hence, a chemical reaction has occurred.