A rule or principle that describe the behavior of something in nature is a
1 answer:
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Answer:
49.3 m/s
Explanation:
The momentum is defined as the product of the object velocity and its mass.
So the momentum of the truck is
For the car to have the same momentum, its speed must be
Answer:
a) 1.2*10^-4 m/s
b) 375 m/s
Explanation:
I assume the large asteroid doesn't move.
The smaller asteroid is affected by an acceleration determined by the universal gravitation law:
a = G * M / d^2
Where
G: universal gravitation constant (6.67*10^-11 m^3/(kg*s^2))
M: mass of the large asteroid (33900 kg)
d: distance between them (146 m)
Then:
a = 6.67*10^-11 * 33900 / 146^2 = 10^-10 m/s^2
I assume the asteroid in a circular orbit, in this case the centripetal acceleration is:
a = v^2/r
Rearranging:
v^2 = a * r
v = \sqrt{10^-10 * 146} = 1.2*10^-4 m/s
If the asteroids have electric charges of 1.18 C and -1.18 C there will be an electric force of:
F = 1/(4π*e0)*(q1*q2)/d^2
Where e0 is the electrical constant (8.85*10^-12 F/m)
F = 1/(4π*8.85*10^-12) (-1.18*1.18)/ 146^2 = -587 kN
On an asteroid witha mass of 610 kg this force causes an acceleration of:
F = m * a
a = F / m
a = 587000 / 610 = 962 m/s^2
With the electric acceleration, the gravitational one is negligible.
The speed is then:
v = \sqrt{962 * 146} = 375 m/s