An ambulance is traveling north at 55.9 m/s, approaching a car that is also traveling north at 28.4 m/s. The ambulance driver he
1 answer:
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Answer:
a) 3.43 m/s
Explanation:
Due to the law of conservation of momentum, the total momentum of the bullet - rifle system must be conserved.
The total momentum before the bullet is shot is zero, because they are both at rest, so:
Instead the total momentum of the system after the shot is:
where:
m = 0.006 kg is the mass of the bullet
M = 1.4 kg is the mass of the rifle
v = 800 m/s is the velocity of the bullet
V is the recoil velocity of the rifle
The total momentum is conserved, therefore we can write:
Which means:
Solving for V, we can find the recoil velocity of the rifle:
where the negative sign indicates that the velocity is opposite to direction of the bullet: so the recoil speed is
a) 3.43 m/s
Answer:
t=18s
Explanation:
The final position of an object moving at constant speed is given by the formula , where
is its initial position, v its speed and t the time elapsed.
For the cheetah we have , and for the gazelle
. We want to know at which t their positions are equal, that is,
, which means,
Where we can do:
We then substitute the values we have (the initial position of the cheetah is 0m), writing the meters in km so distance units cancel out correctly:
On the last step we just multiply by 3600 because is the number of seconds in an hour.
Answer:
(A). the angular velocity of fan is 0.380 rev/s.
(B). The number of revolution is 0.059 rad.
(C). The tangential speed of the blade is 0.907 m/s.
(D). The tangential acceleration of the blade is 2.10 m/s²
Explanation:
Given that,
Initial angular velocity = 0.200 rev/s
Angular acceleration = 0.883 rev/s²
Diameter = 0.760 m
Time = 0.204 s
(A). We need to calculate the angular velocity of fan
Using equation of angular motion
Put the value into the formula
(B). We need to calculate the number of revolution
Using formula of angular displacement
Put the value into the formula
(C). We need to calculate the tangential speed of the blade
Using formula of speed
Put the value into the formula
(D). We need to calculate the tangential acceleration of the blade
Using formula of tangential acceleration
Put the value into the formula
Hence, (A). the angular velocity of fan is 0.380 rev/s.
(B). The number of revolution is 0.059 rad.
(C). The tangential speed of the blade is 0.907 m/s.
(D). The tangential acceleration of the blade is 2.10 m/s²