Answer
given,
initial speed of the car (v₁)= 19.8 mi/h
final speed of the car (v₂)= 59.9 mi/h
a) initial momentum = m v₁
P₁ = 19.8 m
final final momentum = m v₂
P₂ = 59.9 m
ratio = 
=
ratio of momentum=
b) initial kinetic energy= 1/2 m v₁²
K₁ = 196.02 m
final kinetic energy= 1/2 m v₂²
K₂ = 1794.005 m
ratio = 
=
ratio of Kinetic energy=
Answer:
Explanation:
Distance traveled by light = 2 x 550 m = 1100 m
time taken by light to travel this distance = 1100 / 3 x 10⁸
= 366.67 x 10⁻⁸ s
angle between two consecutive slots = 2π / 500 rad
= .004π
angular velocity of wheel = angle moved / time taken
= .004π / 366.67 x 10⁻⁸
= 1091π radian / s
b ) linear speed of a point on the edge of the wheel
= ω R , r is radius of wheel , ω is angular velocity.
= 1091π x 5 x 10⁻²
= 1712.8 m /s
Answer: M = 6.13 × 10^18 kg
Explanation:
g = GM/r2,
Where
The mass M of the asteroid = ?
The radius r = 110000 m
g = 0.0338 m/s^2
G is the gravitational constant.
SI units its value is approximately 6.674×10^−11m3⋅kg−1⋅s−2
Using the formula
g = GM/r2
Cross multiply
GM = gr^2
6.674×10^-11M = 0.0338 × 110000^2
M = 408×10^6/6.674×10^-11
M = 6.13 × 10^18 kg
Answer:
E = -8.23 10⁻¹⁷ N / C
Explanation:
In the Bohr model, the electric potential for the ground state corresponding to the Bohr orbit is
E = k q₁ q₂ / r²
in this case
q₁ is the charge of the proton and q₂ the charge of the electron
E = - k e² / a₀²
let's calculate
E = - 9 10⁹ (1.6 10⁻¹⁹)² / (0.529 10⁻¹⁰)²
E = -8.23 10⁻¹⁷ N / C
ANOTHER RUNNING DOG
Explanation:
In the given question it is to find a suitable reference point to describe the motion of dog. Here I could suggest that it is better to compare the dog with another running dog to create the relative speed difference to get a reliable motion variation.
Because the motion of dog is in the linear with respect to the another dog and to the acceleration produced by the dog in the required interval is easy to calculate with respect to another dog which is already in motion.
Hence, I suggest that Motion of dog can be analysed better by analyse the motion variation of dog with another dog running.
