Well, let’s find the initial velocity first:
Vf = Vi + at
0 = Vi - 9.8*2
0 = Vi - 19.6
Vi = 19.6 m/s
We know the final velocity is 0 because when it hits it’s peak, it’s at 0 m/s.
So now use this kinematic equation to find the final position:
Yf = Yi + Vi*t + 1/2a*t^2
Yf = 0 + 19.6(2) - 4.9(2^2)
Yf = 39.2 - 19.6
Yf = 19.6 meters
If you have any questions for how I derived anything, just lemme know. Most of the info requires thinking and imagining of the situation. I assumed you know gravity is 9.8 and you’re expected to assume velocity is 0 at peak height
Answer:
The coefficient is 0.90
Explanation:
Drawing a diagram makes thing easier, we will assume that the acceleration tends to zero because it start barely moving.
Answer:
Connect them in parallel
Explanation:
The energy stored by two capacitors connected to the same voltage source is given by
where
is the total capacitance of the two capacitors
V is the voltage of the source
In order to maximize the energy stored U, we need to maximize . We have:
- In parallel, the total capacitance is given by the sum of the individual capacitances:
- In series, the total capacitance is given by:
Comparing the two equations, we notice that , so the parallel configuration is the one that maximizes the energy stored.
The magnitude of the acceleration in the y-direction is
Explanation:
When a projectile is fired into the air, there is only one force acting on it (neglecting air resistance): the force of gravity, which pulls the projectile downward with a force of
F = mg
where m is the mass of the projectile and is the magnitude of the acceleration of gravity. This force acts along the y-direction, downward.
Since there are no other forces acting, therefore, the motion of the projectile consists of two separate motions:
- A uniform motion along the x-direction, with constant velocity
- A uniformly accelerated motion along the y-direction, with constant acceleration ()
So, the magnitude of the acceleration in the y-direction is .
Learn more about projectile motion:
brainly.com/question/8751410
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Answer:
0.012 m
Explanation:
m = mass of the marble = 0.0265 kg
M = mass of the pendulum = 0.250 kg
v = initial velocity of the marble before collision = 5.05 m/s
V = final velocity of marble-pendulum combination after the collision = ?
using conservation of momentum
m v = (m + M) V
(0.0265) (5.05) = (0.0265 + 0.250) V
V = 0.484 m/s
h = height gained by the marble-pendulum combination
Using conservation of energy
Potential energy gained by the combination = Kinetic energy of the combination just after collision
(m + M) gh = (0.5) (m + M) V²
gh = (0.5) V²
(9.8) h = (0.5) (0.484)²
h = 0.012 m