Answer:
final volume the balloon occupy in instant before it burst is 4.634 L
Explanation:
given data
helium filled V1 = 2 L
initially pressure P1 = 1.25 atm
finally pressure P2 = 410 mmHg
1 atm = 760 mmHg
to find out
at what volume the balloon occupy in instant before it burst
solution
we have given
760 mmHg = 1atm
and 1 mmHg = 1/760
so 410mmHg = 410/760 atm
so that final pressure is = 410/760 atm
we use here Boyle's Law that is
Boyle's law states that "the volume of an ideal gas is inversely proportional to the pressure of the gas at constant temperatures"
so P ∝ 1/V
P1V1 = P2V2
V2 = P1V1 / P2
put all value
V2 = 1.25 (2) / (410/760)
V2 = 2.5 / 0.53947 = 4.634
so final volume the balloon occupy in instant before it burst is 4.634 L
Answer:
The car will make the turn perfectly
Explanation:
Given that the centripetal force= mv^2/r
M= mass of the car
v = speed of the car
r= radius
Hence;
F = 1000 × (14)^2/50
F= 3920 N
The frictional force = μmg
μ = coefficient of static friction
m= mass
g = acceleration due to gravity
Frictional force= 0.6 × 1000× 10
Frictional force = 6000 N
The car will not skid off the curve because the frictional force is greater than the centripetal force.
Answer:
Explanation:
Energy of radiation in eV = 1237.5/280 = 4.42 eV.
Work function = 2.65 eV.
Maximum kinetic energy = 4.42 - 2.65 = 1.77 eV.
From Literature:
The amount of energy in the photons is given by this equation:
E = hf
where E = energy
h = Planck's constant = 6.63 * 10^-34 Joule seconds
f = frequency of the light, Hz
Given:
E= 3.00 eV and Planck's constant
To solve for the frequency, E = 3.00 eV
1 electronvolt = 1.60218 x 10^-19 Joules
3 * 1.60218 x 10^-19 Joules = 6.63 * 10^-34 Joule seconds * f
f = 7.25 x 10^14 /second or hertz
Therefore, the threshold frequency of the material is 7.25 x 10^14 Hertz.
Answer:
The speed v of the particle at t=5.00 seconds = 43 m/s
Explanation:
Given :
mass m = 5.00 kg
force f(t) = 6.00t2−4.00t+3.00 N
time t between t=0.00 seconds and t=5.00 seconds
From mathematical expression of Newton's second law;
Force = mass (m) x acceleration (a)
F = ma
...... (1)
acceleration (a)
......(2)
substituting (2) into (1)
Hence, F 



Integrating both sides

The force is acting on the particle between t=0.00 seconds and t=5.00 seconds;
......(3)
Substituting the mass (m) =5.00 kg of the particle, equation of the varying force f(t)=6.00t2−4.00t+3.00 and calculating speed at t = 5.00seconds into (3):







v = 43 meters per second
The speed v of the particle at t=5.00 seconds = 43 m/s