Answer:
Forces Due to Friction and Newton's Third Law
The forces on the cart include the forward force the horse exerts on the cart and the backward force due to friction at the ground, acting on the wheels. At rest, or at constant velocity, these two are equal in size, because the acceleration of the cart is zero.
Answer:
a)
b)
c)
Explanation:
Given:
distance between the fixed end of strings,
mass of string,
tension in the string,
a)
<u>Since the wave vibrating in the string is in third harmonic:</u>
Therefore wavelength λ of the string:
b)
We know that the velocity of the wave in this case is given by:
where:
linear mass density
<u>Now, frequency:</u>
c)
When the vibrations produce the sound of the same frequency:
Velocity of sound in air:
<u>Wavelength of the sound waves in air:</u>
Answer:
6. W = 3 m g h
Explanation:
Displacement in moving from first floor to the fourth floor is 3h, and the total energy consumed in this process is (3.m.g.h) which is equal to the work done.
According to the work-energy equivalence the change in energy of a system is equal to the work done.
Here, change in potential energy:
0.3 m/s is the speed of a wave with a wavelength of 3 m and a frequency of 0.1 HZ.
<u>Explanation:</u>
Speed of wave is related to both wavelength and frequency of waves. The wavelength is the displacement between the respective points of two adjacent waves. Wave frequency is the waves number that travels through a fixed points at given time. Hence, the equation that shows how three factors are related as below,
This comparison measures the wavelength in meters and frequency in hertz (Hz) or the number of waves per second. Hence, the wave speed expressed in meters per second (the S.I unit of speed).
Here, given wavelength = 3 m and frequency = 0.1 Hz. So, the wave speed is calculates as