As the spring returns to it's equilibrium position, it performs
1/2 (4975 N/m) (0.097 m)² ≈ 23 J
while the gravitational force (opposing the block's upward motion) performs
-(0.244 kg) g<em> </em>(0.097 m) ≈ -2.3 J
of work on the block. By the work energy theorem, the total work done on the block is equal to the change in its kinetic energy:
23 J - 2.3 J = 1/2 (0.244 kg) v² - 0
where v is the speed of the block at the moment it returns to the equilibrium position. Solve for v :
v² = (23 J - 2.3 J) / (1/2 (0.244 kg))
v = √((23 J - 2.3 J) / (1/2 (0.244 kg)))
v ≈ 44 m/s
After leaving the spring, block is in free fall, and at its maximum height h it has zero vertical velocity.
0² - (44 m/s)² = 2 (-g) h
Solve for h :
h = (44 m/s)² / (2g)
h ≈ 2.3 m
Answer:
Explanation:
The refractive index of a medium is given by the following formula:
where,
η = refractive index = 1.5
= angle of incidence = ?
= angle of refraction = 15°
Therefore,
Answer: A. It follows one prescribed sequence of steps.
Explanation:
A scientific method can be define as the procedure which is required to be followed so as to prove the cause of a scientific phenomena. The scientific method usually consist of steps of experimentation procedures which are performed under controlled conditions so as to avoid any error in the observation as well as in the results. The scientific method is necessary to relate the experimental conditions with the nature.
Answer:
Explanation:
I = V/R = 120 V/ 50 Ω = 2.4 A
P = VI = 120(2.4) = 288 W = 288 J/s
288 J/s (15 min(60s / min)) = 259,200 J
or the electric company would charge for
288 W / (1000 W/kW)•(15/60) hr = 0.072 kW•hr
At $0.20 / kW•hr, that would be under 1½ cents
Answer:
Explanation:
a(t)=20t i+sin(t) j +cos(2t) k
v(t)=
=
---------------eqn 1
given v(0)=i
i=
from equation 1
V(t)=----------eqn 2
now r(t)=
given r(0)=j
0i+1j+ok = 
