Multiply the speed and time to get your answer of how far the runner travels
Answer:
3.1 s
Explanation:
from the question we are given the the following:
Weight of books (Fb) = 305 N
Push force (Fp) = 516 N
distance (s) = 5.82 m
Angle of force exerted = 32 degrees
acceleration due to gravity (g) = 9.81 m/s^{2}
coefficient of friction Uk= 0.59
time (t) = ?
mass of the book (m) = weight / (g) = 305 / 9.8 = 31 kg
lets first get the net force from the summation of vertical forces
Fnet = Fpush + Fgravity
F net = 516 + 305sin32
F net = 677.6 N
now lets get the acceleration from the summation of the horizontal forces
Fpcos32 - friction force = m x a
Fpcos32 - (Uk x F net) = m x a
516cos32 - (0.59 x 677.6) = 31 x a
37.8 = 31a
a = 1.22m/s^{2}
now that we have our acceleration we can get the time from the equation of motion
s = ut + o.5at^{2}
u ( initial velocity ) = 0 because the box was initially at rest
5.82 = (0 x t ) + (0.5 x 1.22 x t^{2})
5.82 = 0.61t^{2}
t = 3.1 s
Answer: New temperature T2 = 9.66°C
Explanation:
Given;
Energy added ∆E = 20J
Initial temperature T1 = 0°C
Number of atom = 1.0×10^23
Using the energy equation.
∆E = (3/2)nR∆T
∆T = (2/3)∆E/nR
Where ;
R = universal gas constant = 8.314J/mol-K
n = number of moles = N/Nt
Nt = number of atoms in one mole of gas = 6.022×10^23
n = 1.0 ×10^23/6.022×10^23= 0.166
∆T = (2/3)×20/(0.166×8.314)
∆T = 9.66
T2 = T1+∆T = 0 + 9.66
T2 = 9.66°C
Answer:
3.2 × 10⁻⁸ N.
Explanation:
By Coulomb's Law, the magnitude of the electromagnetic force between two point charges is inversely proportional to the square of their separation, 
. In other words,
.
- Initial electromagnetic force
; - Initial Separation
; - Final Separation
.
Final electromagnetic force:
.
An equilibruium is not changed by a changed in pressure. the answer is false
