This is problem of free falling
objects, which can be solved using the formula:
V = sqrt(2gy)
Where v is the velocity upon
impact
G is the acceleration due to
gravity ( 9.81 m/s2)
Y is the height
Since Venessa is 3.5 m
Y = 30 -3.5 = 26.5 m
V = sqrt(2 (9.81 m/s2) ( 26.5
m))
<span>V = 22.8 m/s</span>
Answer:
The orbital speed of the satellite around the earth in other to remain in perfect circular orbit in given as:
v = sqrt[(Ge*M)/R],
where Ge is the gravitational constant (Ge = 6.673 x 10^-11N/m2/kg2), M is the mass of the earth(m = 5.98 x 10^24kg), and R is the radius of the earth (R = 6.47 x 10^6m)
v = SQRT [ (6.673 x 10^-11 N m2/kg2) • (5.98 x 10^24 kg) / (6.47 x 10^6 m) ]
v = 7.85 x 10^3 m/s
Explanation:
For a satelite in a low altitude orbit around the Earth, the gravitational force is the only force acting of the said satellite keeping it is a circular orbit. To keep this satellite in perfect circular orbit, it must be moving in at a certain speed, which is dependent on the earth mass and radius. This speed can be evaluated from the expression of centripetal force(F = mv2/r). The centripetal force Fc on the satellite is equal to the gravitational force on the satellite from the earth(Fe). That is, (Ge*M*m)/R2 = (m*v2)/R, where M is mass of the earth, and m is the mass of the satellite. making v the subject of the formula, the equation become v = sqrt[(Ge*M)/R].
Yes, a laboratory balance can accurately measure mass on moon also.
Explanation
The work of laboratory balance is to determine the mass of an object.
Generally, a laboratory balance consists of two pans and it determines the mass of an unknown object by reference with a known mass object.
Also the mass of any object tends to remain constant in all conditions.
The mass has no effect due to gravitational force unlike weight. So the laboratory balance can work accurately in any environment as the mass will be constant in any case.
Thus, if a laboratory balance measures mass accurately on earth, then it will measure mass accurately on moon also as mass is not dependent on gravitational force.
<span>Throwing the bowling ball would have the greatest negative velocity becasue Principle of the Conservation of Momentum states that: if objects collide, the total momentum before the collision is the same as the total momentum after the collision (provided that no external forces - for example, friction - act on the system). That’s amazingly useful because it means that you can tell what is going to happen after a collision before it has taken place. Principle of Conservation of Energy: Of course, energy is also conserved in any collision, but it isn't always conserved in the form of kinetic energy.</span>
Answer:
When the machine indicates a lie, what is the probability that the suspect is really lying? If the machine does not indicate a lie, what is the probability that the suspect is really telling the truth?
My solution if the probability that a test subject is chosen at random from the 200 in fact lie = 80/(80+5)=0.94
Then when 15% of people arrested lie, the probability that the suspect is really lying is 0.15*0.94=0.141