Answer:
Explanation:
The motion of the bullet is a uniformly accelerated motion, therefore we can find its acceleration by using the following suvat equation:
where
v is the final velocity
u is the initial velocity
a is the acceleration
s is the distance covered
For the bullet in this problem:
u = 350 m/s is the initial velocity of the bullet
v = 0 is the final velocity (the bullet comes to a stop)
s = 0.125 m is the stopping distance of the bullet
Therefore, by solving the equation for a, we find its acceleration:
And the negative sign tells that the direction of the acceleration is opposite to that of the velocity.
Potential energy = (mass) x (gravity) x (height)
Divide each side by (G x H) : Mass = PE / (G x H)
PE = 6 joules
Gravity = 9.8 m/s
Height = 3 m
Mass = 6 / (9.8 x 3) =
6 / (29.4) = <em>0.204 kg</em>
(weighs about 2 newtons or 7.2 ounces on Earth)
Gravity and friction would affect the long jumper.
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Answer:
Explanation:
Assuming there is only force in the y-component, the total net force acting on the parachute and the sky diver is:
(1)
Where:
is the drag force acting upwards
is the weight of the sky diver acting downwards, hence with negative sign
Then:
(2) This is the total net force excerted on the system parachute-sky diver, and the fact it is positive means is upwards
Now, according Newton's 2nd Law of Motion the force is directly proportional to the mass and to the acceleration of a body:
(3)
Where is the mass of the diver.
Substituting the known values and finding :
(4)
(5)
Finally:
This is the acceleration of the sky diver. Note it has a positive sign, which means its direction is upwards.