Answer:
1.62 atm
Explanation:
We can solve the problem by using the ideal gas equation:
where:
p = ? is the pressure of the gas in the tire
V = 8.5 L is the volume of the tire
n = 0.55 mol is the number of moles of the gas
R = 0.0821 atm L / K mol is the gas constant
T = 305 K is the temperature of the gas
By re-arranging the equation and substituting the numbers in, we find:
Answer:
1.7 m
Explanation:
= Velocity of ball in x direction = 4.47 m/s
= Velocity of ball in y direction = 0
g = Acceleration due to gravity =
t = Time taken
= Vertical displacement = 0.7 m
Horizontal displacement is given by
The passenger should throw the ball 1.7 m in front of the bucket.
Answer:
the length of the wire is 134.62 m.
Explanation:
Given;
resistivity of the copper wire, ρ = 2.6 x 10⁻⁸ Ωm
cross-sectional area of the wire, A = 35 x 10⁻⁴ cm² = ( 35 x 10⁻⁴) x 10⁻⁴ m²
resistance of the wire, R = 10Ω
The length of the wire is calculated as follows;
Therefore, the length of the wire is 134.62 m.
Answer:
d) v1 = v2 = v3
Explanation:
This can be answered using conservation of energy. We calculate the mechanical energy E=K+U (sum of kinetic and gravitational potential energies) at the original and final points, and impose they are equal.
At the original point we have, for the three balls:
At the final point we have, for the three balls:
Since we have , and
is the same for all balls, then
is the same for all balls, which means that
, the final velocity, is the same for all balls.