Answer:
x(t) = 20t + 12.75e⁻¹•⁶ᵗ + 487.5
t = 24.375 s
Explanation:
The force balance on the object is given as
Net force = W - Drag force
ma = W - 10v
a = (dv/dt)
ma = m(dv/dt) = 200 - 10v
W = mg
200 = m×32
m = 6.25 kg
m(dv/dt) = 200 - 10v
6.25(dv/dt) = 200 - 10v
(dv/dt) = 32 - 1.6v
v' + 1.6v = 32
Solving this differential equation using the integrating factor method
(ve¹•⁶ᵗ) = ∫ (32e¹•⁶ᵗ) dt
ve¹•⁶ᵗ = (20e¹•⁶ᵗ) + c (where c = constant of integration)
v = (20 + ce⁻¹•⁶ᵗ)
At t = 0, v = 0
0 = 20 + c
c = -20
v = (20 - 20e⁻¹•⁶ᵗ)
v = (dx/dt)
(dx/dt) = 20 - 20e⁻¹•⁶ᵗ
dx = (20 - 20e⁻¹•⁶ᵗ) dt
x(t) = 20t + 12.5e⁻¹•⁶ᵗ + c (c is still the constant of integration)
At t = 0, x = - 500
- 500 = 0 + 12.5 + c
c = 512.5
x(t) = 20t + 12.75e⁻¹•⁶ᵗ - 487.5
when the object hits the ground, x = 0
0 = 20t + 12.75e⁻¹•⁶ᵗ - 487.5
20t + 12.75e⁻¹•⁶ᵗ = 487.5
Solving by trial and error,
t = 24.375 s
Hope this Helps!!!
Answer:
The major difference is the capacity of both batteries. The AA battery has a higher capacity (a higher current) than the AAA battery.
Explanation:
The AA batteries and the AAA batteries are very similar in their voltage; both of them have 1.5 V.
The difference between these two batteries is their size and also the current that they have. The AAA battery is smaller than the AA battery, which means that the amount of electrochemical material is lower, so the AA battery has a higher capacity (a higher current) than the AAA battery.Generally, AA battery has 2400 mAh capacity and AAA battery has a capacity of 1000mAh; this means that AA battery has almost three times the capacity of an AAA battery.
Furthermore, the size of the AA battery makes it more common than the AAA battery and therefore has higher commercial demand.
I hope it helps you!
Answer:
8m/s
Explanation:
Vavg= 16-0/2=8m/s
The kinetic energy of an object is given by:
KE = 0.5mv²
KE = kinetic energy, m = mass, v = speed
Given values:
KE = 0.161J, v = 2.33m/s
Plug in and solve for m:
0.161 = 0.5m(2.33)²
m = 0.059kg
Answer:
The new angle of deflection north pole becomes smaller.
Explanation: The angle of deflection is the angle formed when an object changes course from its original course of direction or target.
The angle of deflection of a particular particle is directly proportional to its charge to mass ratio as it passed through an electric field.
As the wire is continously being lowered farther from the compass,the angle of deflection of the north pole ontinues to become smaller when compared to its initial deflection.
2)accelerating to a comfortable speed.
3) Carring the boxes to the tomato display at constant speed.
4)decelerating to a stop.
5) lowering the boxes slowly to the floor.
During which of the five segments of the job does the stock person do positive work on the boxes?
A) (2) and (3)
B(1) and (2)
C) (1) only
D) (1), (2), (4) and (5)
E) (1) and (5)
Answer:
B
Explanation:
Work done can be said to be positive if the applied force has a component to be in the direction of the displacement and when the angle between the applied force and displacement is positive.
In 1 and 2 work done is positive