Answer:
Explanation:
F = Force on the sled = 63 N
m = Mass of sled = 28.7 kg
= Coefficient of kinetic friction = 0.169
g = Acceleration due to gravity =
The force balance of the system is given by
The acceleration of the sled is .
Answer:
a)
Explanation:
a) Let consider that disk accelerates and decelerates at constant rate. The expression for angular acceleration and deceleration are, respectively:
Acceleration
Deceleration
Since angular acceleration and deceleration have same magnitude but opposite sign. Let is find the maximum allowed angular speed from maximum allowed centripetal acceleration:
Maximum magnitude of acceleration/deceleration is:
The least time require for rotation is:
Answer:
ΔV = 20.1 V
Explanation:
As the positive plates are connected to each other, the capacitors are connected in parallel, so the total system load is the sum of the charges on each capacitor.
Q = Q₁ + Q₂
The charge on each capacitor is
Q₁ = C₁ ΔV₁
Q₁ = 24 10⁻⁶ 25
Q₁ = 6.00 10⁻⁴ C
Q₂ = C₂ ΔV₂
Q₂ = 13 10⁻⁶ 11
Q₂ = 1.43 10⁻⁴ C
The total set charge is
Q = (6 + 1.43) 10⁻⁴
Q = 7.43 10⁻⁴ C
The equivalent capacitance is
C_eq = C₁ + C₂
C_eq = (24 + 13) 10⁻⁶
C_eq = 37 10⁻⁶ F
Let's use the relationship to find the voltage
Q = C_eq ΔV
ΔV = Q / C_eq
ΔV = 7.43 10⁻⁴ / 37 10⁻⁶
ΔV = 2.008 10¹
ΔV = 20.1 V
This voltage is constant in the combination so it is also the voltage in capacitor C1
Answer:
the distance should be changed by a factor of √2
Explanation:
The attractive force between the couples can be given by Newton's Law of Gravitation:
where,
F = Attractive Force
G = Universal Gravitational Constant
m₁ = mass of the first person
m₂ = mass of the second person
r = distance between them
Now, if we want to halve the force without changing masses, hen:
<u></u>
<u>Hence, it is clear that the distance should be changed by a factor of √2</u>