Answer:
5.03 m
Explanation:
The wavelength of a wave is given by
where
v is the speed of the wave
f is the frequency of the wave
For the sonar signal in this problem,
Substituting into the equation, we find the wavelength:
The period of a simple pendulum is given by
where
L is the pendulum length
g is the acceleration of gravity
If we move the same pendulum from Earth to the Moon, its length L remains the same, while the acceleration of gravity g changes. So we can write the period of the pendulum on Earth as:
where
is the acceleration of gravity on Earth, while the period of the pendulum on the Moon is
where
is the acceleration of gravity on the Moon.
If we do the ratio of the two periods, we get
but the gravity acceleration on the Moon is 1/6 of the gravity acceleration on Earth, so we can write
and we can rewrite the previous ratio as
so the period of the pendulum on the Moon is
Answer:
Explanation:
Let four particles are placed on X axis symmetrically about the origin and M is placed on y axis.
According to the diagram, the x component of forces balances each other and the net force acting on the particle of mass m is acting in the direction of negative Y axis.
A body of mass 2kg is at rest. A force of 20N makes it move with a velocity of 5m/s, the impulse of the body would be 10 Kgm/s
<h3>What is impulse?</h3>
The product of the average applied force and the time for which it is exerted is known as an impulse. The unit for the impulse of force is the same as that of momentum which is kg*m/s
The mathematical relation for impulse is
Impulse = F * Δt =change in momentum
As given in the problem body of mass of 2 kg is at rest. A force of 20N makes it move with a velocity of 5m/s
Change in the momentum of the body
Δm = m(v₂-v₁)
As the body was initially at rest v₁ =0
Δm = 2×5
Δm = 10 Kgm/s
As we know that change in the momentum represents the impulse of the force
Thus, the impulse of the body would be 10 Kgm/s
Learn more about impulse, here
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