Answer:
Explanation:
As B has a y component of -5, A must have a y component of 5 to have the result lie on the x axis.
As B has an x component of 3 and the result has an x component of -4, A must have an x component of -7
A = (-7, 5)
magnitude A = √(7² + 5²) = √74 ≈ 8.60
θ = arctan(y/x) = arctan(5/-7) ≈ 144.46° CCW from the positive x axis
Answer:
The distance traveled by the faster car when it is 15 mins ahead of the slower car is 165 miles.
Explanation:
Given;
speed of the faster car, v₁ = 60 mi/h
speed of the slower car, v₂ = 55 mi/h
Let the distance traveled by the faster car when it is 15 mins ahead of the slower car = x miles

Note: divide 15 mins by 60 to convert to hours for consistency in the units.

Therefore, the distance traveled by the faster car when it is 15 mins ahead of the slower car is 165 miles.
Answer:
(a) T = 2987.6 k
(b) T = 19986.2 k
Explanation:
The temperature of a star in terms of peak wavelength can be given by Wein's Displacement Law, which is as follows:

where,
T = Radiated surface temperature
= peak wavelength
(a)
here,
= 970 nm = 9.7 x 10⁻⁷ m
Therefore,

<u>T = 2987.6 k</u>
(b)
here,
= 145 nm = 1.45 x 10⁻⁷ m
Therefore,

<u>T = 19986.2 k</u>
An opera singer breaks a thin glass with only the use of her high frequency voice