A 5-kg concrete block is lowered with a downward acceleration of 2.8 m/s2 by means of a rope. The force of the block on the Eart

The light's wavelength absorbed during the transition is 459 nm. Energy difference between the 5-d and the 6-s sub-levels in gold is expressed as ΔE. Let the wavelength associated with the electron's transition from the 5-d to the 6-s state be λ. The relationship that describes the connection between energy and wavelength is defined as: E = hc/λ, where E stands for photon energy, h represents Planck's constant, c is the speed of light, and λ denotes the wavelength of the photon. Therefore, the absorption wavelength in this transition stands at 459 nm.

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Response:

The change in momentum experienced by the goose during this encounter is 33.334 m/s

Explanation:

Provided;

goose's mass, m₁ = 2.0 kg

airliner mass, m₂ = 160,000 kg

goose's initial speed, u₁ = 60 km/hr  = 16.667 m/s

airliner initial speed, u₂ = 870 km/hr = 241.667 m/s

The alteration in momentum is defined as;

ΔP = mv - mu

where;

u being the foremost velocity of the bird

v representing the concluding velocity of the bird

Using linear momentum conservation principles;

Total momentum pre-collision = Total momentum post-collision

m₁u₁ + m₂u₂ = v(m₁ + m₂)

where;

v is the bird and airliner speed after collision;

(2 x 16.667) + (160,000 x 241.667) = v (2 + 160,000)

38,666,753.334 = 160,002v

v = 38,666,753.334 / 160,002

v = 241.664 m/s

Thus, the final velocity of the bird is minimal in comparison to the final velocity of the airliner.

ΔP = mv - mu

ΔP = m(v - u)

ΔP = 2(0 - 16.667)

ΔP = -33.334 m/s

The negative value indicates a slowdown in the bird following the collision.

Thus, the change in momentum of the goose during this interaction is 33.334 m/s

A block weighing m1 = 4.50 kg and a ball weighing m2 = 7.70 kg are linked by a light string over a frictionless pulley, as illustrated in figure (a). The coefficient of kinetic friction between the block and the surface is 0.300.
(a) Determine the acceleration of both objects and the tension present in the string.
(b) Verify the acceleration calculation using a systems approach. (Utilize m1, m2, μk, and g as needed.)
(c) If an additional mass is added to the ball, what amount is necessary to augment the downward acceleration by 60%?

In (a), I calculated the acceleration to be 5.10 m/s^2 and the tension to be 36.2N.
In (b), the equation used is a = (m2g-ukm1g)/(m1+m2)
It’s (c) that I am struggling to understand. Can anyone assist me?

The mass of the telescope is 11,121 kg.