Answer:
If the cart is pushed with twice the net force while its mass increases by four, its acceleration would be half the other acceleration.
Explanation:
Newton's second law relates the force (F) applied to an object with its acceleration (a) in the next way:
(1), with m the mass of the object (the cart in our case)
Note that the acceleration is directly proportional to the force applied and inversely proportional to the mass of the object, that means if we let m constant and increase the force the acceleration will increase too, and if we let F constant and increase m the acceleration will decrease, but if we increase the two quantities at the same time, we should analyze mathematically the situation to observe better the behavior of the acceleration. If
and
the acceleration by Newton’s second law is now:

Note that
so the acceleration would be half the initial acceleration
Answer:
Explanation:
Resistance of wire, R = 48 ohm
It is cut into four pieces.
As we know that the resistance is directly proportional to the length of the wire.
So, the resistance of each piece of wire, R' = 48 / 4 = 12 ohm
Now the four pieces are connected in parallel. So the equivalent resistance is given by


Req = 3 ohm
Answer:
a) 72.54° and It will take the woman 33.4m
Explanation:
The woman runs with a constant speed V1 = 6m/s
V2 = 20m/s
V1 = V2 cos θ
Cos θ= V1/V2= 6/20
Cos θ= 0.3
Cos^-1 0.3=72.54°
Using Range formular for projectile
R= (V2 Cos θ)/g (V2 Sin θ)^2 +sqrt(V2 Sin θ)^2 + 2gh)
R= (20cos72.54)(2Sin72.54+sqrt(20Sin72.54)^2 + 2×9.8×45
R=33.4m
b )
see the attached file
CR < CY < CB
<h3>Which factors affect the critical angle for a given pair of media?</h3>
The factors which affect the critical angle are
(a) The colour (or wavelength) of light
(b) The temperature
(i) Effect of colour of light: The critical angle for a pair of media is less for the violet light and more for the red light. Thus the critical angle increases with the increase in wavelength of light.
(ii) Effect of temperature: The critical angle increases with increase in temperature because on increasing temperature of medium, its refractive index decreases.
According to the question,
μ 1 sinCR =1
μ 2 sinCY =1
μ 3 sinCB =1
μ 1 > μ 2 and μ 2 > μ 3
⟹μ 1 > μ 2 > μ 3
CR < CY < CB
Thus,
The critical angle increases with the increase in wavelength of light.
Learn more about wavelength of light here:
brainly.com/question/27557868
#SPJ1
Answer:
Velocity
Explanation:
The gradient= change in velocity
——————————
Change in time