Answer:
E) True. The girl has a larger tangential acceleration than the boy.
Explanation:
In this exercise they do not ask us to say which statement is correct, for this we propose the solution to the problem.
Angular and linear quantities are related
v = w r
a = α r
the boy's radius is r₁ = 1.2m the girl's radius is r₂ = 1.8m
as the merry-go-round rotates at a constant angular velocity this is the same for both, but the tangential velocity is different
v₁ = w 1,2 (boy)
v₂ = w 1.8 (girl)
whereby
v₂> v₁
reviewing the claims we have
a₁ = α 1,2
a₂ = α 1.8
a₂> a₁
A) False. Tangential velocity is different from zero
B) False angular acceleration is the same for both
C) False. It is the opposite, according to the previous analysis
D) False. Angular acceleration is equal
E) True. You agree with the analysis above,
The answer would be an alpha particle because the beta particle doesn't carry the amount of protons and neutrons.
Hi there!
For an object on an incline with friction being pulled, the following forces are present.
- Force due to Gravity
- Force due to Friction
- Force due to tension
The force due to friction opposes the force due to gravity which would cause the object to slide down. (The force due to friction acts up the incline). Additionally, the force due to the rope is also upward.
Let up the incline be positive, and down the incline be negative.
Doing a summation of forces:

For the crate to be moving at a constant velocity, there is NO net force acting on the crate, so:

Now, we can express each force as an equation.
Force due to tension:
Force due to gravity:
- On an incline, this is equivalent to the SINE component of its weight. (Force of gravity is STILL THE WEIGHT, but on an incline, it contains a horizontal component that contributes to the net force)
This is expressed as:

Force due to friction:
- Equivalent to the normal force and coefficient of friction. The normal force is the VERTICAL component of the object's weight, so:


Now, plug these expressions into the above equation.

Mg = 245 N (weight). Plug in all values:

The normal force is equivalent to the vertical component (PERPENDICULAR TO THE INCLINE) of the weight (cosine), so:

The three main cycles of an ecosystem are the water cycle, the carbon cycle and the nitrogen cycle.
Answer:
The wavelength of the light is 633 nm.
Explanation:
Given that,
Distance between the two slits d= 0.025 cm
Distance between the screen and slits D = 120 cm
Distance between the slits y= 1.52 cm
We need to calculate the angle
Using formula of double slit

Where, y = Distance between the slits
D = Distance between the screen and slits
Put the value into the formula



We need to calculate the wavelength
Using formula of wavelength

Put the value into the formula




Hence, The wavelength of the light is 633 nm.