Answer:
I think no 3 is false
and 4 is true
and the the ones you did are correct
if wrong correct me pls
Answer:
a) 0.462 m/s^2
b) 31.5 rad/s
c) 381 rad
d) 135m
Explanation:
the linear acceleration is given by:

the angular speed is given by:

to calculate how many radians have the wheel turned we need the apply the following formula:

the distance is given by:


Answer:
First, the different indices of refraction must be taken into account (in different media): for example, the refractive index of light in a vacuum is 1 (since vacuum = c). The value of the refractive index of the medium is a measure of its "optical density": Light spreads at maximum speed in a vacuum but slower in others transparent media; therefore in all of them n> 1. Examples of typical values of are those of air (1,0003), water (1.33), glass (1.46 - 1.66) or diamond (2.42).
The refractive index has a maximum value and a minimum value, which we can calculate the minimum value by means of the following explanation:
The limit or minimum angle, α lim, is defined as the angle of refraction from which the refracted ray disappears and all the light is reflected. As in the maximum value of angle of refraction, from which everything is reflected, is βmax = 90º, we can know the limit angle (the minimum angle that we would have to have to know the minimum index of refraction) by Snell's law:
βmax = 90º ⇒ n 1x sin α (lim) = n 2 ⇒ sin α lim = n 2 / n 1
Explanation:
When a light ray strikes the separation surface between two media different, the incident beam is divided into three: the most intense penetrates the second half forming the refracted ray, another is reflected on the surface and the third is breaks down into numerous weak beams emerging from the point of incidence in all directions, forming a set of stray light beams.
Answer:
A) magnitude = sqrrt(147.1^2 + 61^2) = 159.2 units
B)22.5° (clockwise form -ve X axis)
Explanation:
given vector = V1 = x i - 60 j
magnitude of V1 = 90
x - component can be found out by resultant formula
90^2 = x^2 + (-60)^2
x = 67.08 = 67.1 units (3sf)
FOR THE VECTOR 80 UNITS IN -VE X DIRECTION
The X component is -80-------(1)
The Y component is 0 ---------(2)
<u>For the x- component of new added vector:</u>
(1)----------- x + 67.1 = -80
x = -147.1 = -147.1
<u>For the y- component of new added vector:</u>
<u>(</u>2)---------- y - 61 = 0
y = 61.0 (3sf)
the new added vector is = -147.1 i + 61 j
magnitude = sqrrt(147.1^2 + 61^2) = 159.2 units
direction = arctan (61 / 147.1)
= 22.5° (clockwise form -ve X axis)
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Answer:

Explanation:
Assuming no energy lost, according to the law of conservation of energy, the kinetic energy of the automobile becomes potential energy after the crash:

Here m is the automobile's mass, v is the speed of the car before impact, k is the "bumper" constant and x is the compression of the bumper due to the collision. Solving for v:
