A- 85m per second
B- 85 sdcounds
Answer:
461.73 K
Explanation:
Given that,
The mass of a bullet, m = 5.7 g
Speed of the bullet, v = 490 m/s
Half the kinetic energy of the bullet is transformed into internal energy and remains with the bullet while the other half is transmitted to the tree.
Using the conservation of energy,
Where
x is the specific heat of lead, c = 130 J/kg K
So,
So, the increase in temperature of the bullet is 461.73 K.
(a) The system of interest if the acceleration of the child in the wagon is to be calculated are the wagon and the children outside the wagon.
(b) The acceleration of the child-wagon system is 0.33 m/s².
(c) Acceleration of the child-wagon system is zero when the frictional force is 21 N.
<h3>
Net force on the third child</h3>
Apply Newton's second law of motion;
∑F = ma
where;
- ∑F is net force
- m is mass of the third child
- a is acceleration of the third child
∑F = 96 N - 75 N - 12 N = 9 N
Thus, the system of interest if the acceleration of the child in the wagon is to be calculated are;
- the wagon
- the children outside the wagon
<h3>Free body diagram</h3>
→ → Ф ←
1st child friction wagon 2nd child
<h3>Acceleration of the child and wagon system</h3>
a = ∑F/m
a = 9 N / 27 kg
a = 0.33 m/s²
<h3>When the frictional force is 21 N</h3>
∑F = 96 N - 75 N - 21 N = 0 N
a = ∑F/m
a = 0/27 kg
a = 0 m/s²
Learn more about net force here: brainly.com/question/14361879
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Answer:
(6.675 × 10⁶) m
Explanation:
A body vibrating in simple harmonic motion has its frequency related to the spring constant and mass of the body through the relation
f = (1/2π) √(k/m)
k = 2233 N/m
m = mass of one molecule of Nitrogen = 28.0 g = 0.028 kg
f = (1/2π) √(2233/0.028)
f = 44.945 Hz
And the photons that'll excite the molecule to the next state must at least have this frequency (f = 44.945 Hz)
For waves, the velocity (v), frequency (f) and wavelength (λ) are related through the relation
v = fλ
v = speed of light (since it's a photon) = (3 × 10⁸) m/s
λ = (v/f) = (3 × 10⁸)/44.945 = 6674824.8 m = (6.675 × 10⁶) m = (6.68 E6) m
Because incandescent light bulbs emit much, much more heat energy than light energy. So, they convert more of the electric energy put into them into heat energy than light energy.
P.S. Learn this stuff yourself. Don't cheat