Answer:
If the Lego building is shaken side to side, it will withstand up to 60 seconds because front to back will cause the top of the building to collapse.
Complete question:
The length of nylon rope from which a mountain climber is suspended has an effective force constant of 1.40 ×10⁴ N/m.
What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 84.0 kg?
Answer:
The frequency (in Hz) at which he bounce is 2.054 Hz
Explanation:
Given;
effective force constant, K = 1.40 ×10⁴ N/m.
The total mass = his mass plus the mass of his equipment, m = 84 kg
The frequency (in Hz) at which he bounce is given by;
Therefore, the frequency (in Hz) at which he bounce is 2.054 Hz
Answer:
The impulse is -20kg m/s.
Explanation:
given mass of ball = 0.4 kg
The ball is moving towards left with the initial velocity = 30m/s
The momentum in left direction P1 = mv1
= (0.4)(30)
= 12 kg m/s
The given velocity towards right = -20 m/s ( negative sign shows inverse direction)
Momentum towards right, P2 = mv2
P2 = (0.4)(-20)
P2 = -8 kg m/s
The Impulse = change in momentum
= P2 –P1
= -8-12
= -20 kg m/s
Answer:
When a light wave goes through a slit, it is diffracted, which means the slit opening acts as a new source of waves. How much a light wave diffracts<em> (how much it fans out)</em> depends on the wavelength of the incident light. The wavelength must be larger than the width of the slit for the maximum diffraction. Thus, for a given slit, red light, because it has a longer wavelength, diffracts more than the blue light.
The corresponding relation for diffraction is
,
where is the wavelength of light, is the slit width, and is the diffraction angle.
From this relation we clearly see that the diffraction angle is directly proportional to the wavelength of light—longer the wavelength larger the diffraction angle.
Answer:
velocity of rocket at the time of impact is 48.28 m/s
Explanation:
given,
rise of the rocket = 78 m
Velocity acquires by the rocket = 40 m/s
final velocity = 0 m/s
v = u + gt
0 = 40 - 9.81 × t
t = 4.08 s
now, calculation of displacement
= 40.8 m
total height = 40.8 + 78 = 118.8 m
velocity =
v = 48.28 m/s
velocity of rocket at the time of impact is 48.28 m/s