Answer:
Explanation:
m = Mass of each the cars =
= Initial velocity of first car = 3.46 m/s
= Initial velocity of the other two cars = 1.4 m/s
v = Velocity of combined mass
As the momentum is conserved in the system we have
Speed of the three coupled cars after the collision is .
As energy in the system is conserved we have
The kinetic energy lost during the collision is .
Answer:
Option B. 32 g
Explanation:
From the question given above, the following data were obtained:
Original amount (N₀) = 128 g
Half-life (t½) = 2.25 billion years
Number of half-lives (n) = 2
Amount remaining (N) =?
The amount of 128 gram of Radium-226 that will remain after 2 half-lives has elapsed can be obtained as followb
N = 1/2ⁿ × N₀
N = 1/2² × 128
N = 1/4 × 128
N = 0.25 × 128
N = 32 g
Therefore, 32g of the sample will remain.
Answer:
The horizontal velocity is
Explanation:
From the question we are told that
The mass of the pumpkin is
The distance of the the car from the building's base is
The height of the roof is
The height is mathematically represented as
Where g is the acceleration due to gravity which has a value of
substituting values
making the time taken the subject of the formula
The speed at which the pumpkin move horizontally can be represented mathematically as
substituting values
Answer
given,
mass of jogger = 67 kg
speed in east direction = 2.3 m/s
mass of jogger 2 = 70 Kg
speed = 1.3 m/s in 61 ° north of east.
jogger one
now
P = P₁ + P₂
magnitude
the angle is north of east