Answer:
0.372 kg
Explanation:
The collision between the bullet and the block is inelastic, so only the total momentum of the system is conserved. So we can write:
(1)
where
is the mass of the bullet
is the initial velocity of the bullet
is the mass of the block
is the velocity at which the bullet and the block travels after the collision
We also know that the block is attached to a spring, and that the surface over which the block slides after the collision is frictionless. This means that the energy is conserved: so, the total kinetic energy of the block+bullet system just after the collision will entirely convert into elastic potential energy of the spring when the system comes to rest. So we can write
(2)
where
k = 205 N/m is the spring constant
x = 35.0 cm = 0.35 m is the compression of the spring
From eq(1) we get

And substituting into eq(2), we can solve to find the mass of the block:

Answer:
Efficiency = 71%
Explanation:
Given the following data:
Output energy = 250 Joules
Input energy = 350 Joules
To find efficiency;
Substituting into the equation, we have;

Efficiency = 71.43 ≈ 71%
Therefore, the efficiency of the candle is 71 percent.
To keep the energy going every day
Answer:
100 V
Explanation:
Hi there!
Ohm's law states that
where V is the voltage, I is the current and R is the resistance.
Plug the given information into Ohm's law (R=50, I=A)

Therefore, the voltage across this current is 100 V.
I hope this helps!
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