Answer:
B) The 2-kg mass travels twice as far as the 4-kg mass before stopping
Explanation:
As we know that both mass have same horizontal force opposite to their motion
So we will have
now the stopping distance of an object moving with initial speed v is given as
so here we have
for other object we have
So correct answer will be
B) The 2-kg mass travels twice as far as the 4-kg mass before stopping
First, convert the ft to standard units of meters.
1 foot = <span>0.3048 meters
Therefore,
484 ft = 147.5232 meters
Then, we will use the laws of motion to calculate the time:
x = 0.5 at^2
where:
x is the displacement
a is the gravity (9.8 m/sec^2)
t is the time taken
Substitute in the equation with the givens to calculate the time as follows:
147.5232 = (0.5 x 9.8) t^2
t^2 = 147.5232 / (0.5 x 9.8)
t^2 = 30.11 seconds
t = 5.49</span>
Answer:
speed for last lap is 247.89 km/h
Explanation:
given data
velocity v1 = 203 km/h
velocity v2 = 199 km/h
no of lap n = 10
to find out
average speed for last lap
solution
we consider here distance d for 1 lap
so in first 9 lap time taken is
t1 = distance / velocity v2
t1 = 9d / 199 ...............1
and
for 10 lap time is
t2 = 10d / 203 .............2
so from 1 and 2 equation time for last lap
last lap time t3 = t2 - t1
t3 = 10d / 203 - 9d / 199
t3 = 0.004034 d
so speed for last lap is
speed = distance / time
speed = d / 0.004034 d
speed = 247.89 km/h
so speed for last lap is 247.89 km/h
Answer: 580 x 10^-3 J
Explanation:
0.6mm is 0.6/1000 = 600*10^-6 m
The plate area is .17*.17 = 28.9*10^-3 m^2
Air:
The voltage that can be sustained by 0.60 mm of air dielectric is:
V = 3.0*10^6* 600*10^-6 = 1800 V
The capacitance is:
C = ε*A/d = 8.854*10^-12 * 28.9*10^-3/600*10^-6 = 426*10^-12 F = 426 pF
The energy stored in a capacitor is:
E = (1/2)*C*V^2 = (1/2)*426*10^-12*(1800)^2 = 691*10^-6 J
Teflon:
The voltage is:
V = 60*10^6* 600*10^-6 = 36*10^3 = 36 kV
According to the listed reference, the relative dielectric constant for teflon is 2.1, this figure multiplies the "ε" of free space.
The capacitance is:
C = ε*A/d = 2.1*8.854*10^-12 * 28.9*10^-3/600*10^-6 = 896*10^-12 F = 896 pF
It would have been easier to note that the capacitance is 2.1 times the air-dielectric case.
The maximum energy stored is:
E = (1/2)*C*V^2 = (1/2)* 896*10^-12* (36*10^3)^2 = 580*10^-3 J
