Incomplete question as there is so much information is missing.The complete question is here
A car sits on an entrance ramp to a freeway, waiting for a break in the traffic. Then the driver accelerates with constant acceleration along the ramp and onto the freeway. The car starts from rest, moves in a straight line, and has a speed of 24 m/s (54 mi/h) when it reaches the end of the 120-m-long ramp. The traffic on the freeway is moving at a constant speed of 24 m/s. What distance does the traffic travel while the car is moving the length of the ramp?
Answer:
Distance traveled=240 m
Explanation:
Given data
Initial velocity of car v₀=0 m/s
Final velocity of car vf=24 m/s
Distance traveled by car S=120 m
To find
Distance does the traffic travel
Solution
To find the distance first we need to find time, for time first we need acceleration
So
![(V_{f})^{2}=(V_{o})^{2}+2aS\\ So\\a=\frac{(V_{f})^{2}-(V_{o})^{2} }{2S}\\ a=\frac{(24m/s)^{2}-(0m/s)^{2} }{2(120)}\\a=2.4 m/s^{2}](https://tex.z-dn.net/?f=%28V_%7Bf%7D%29%5E%7B2%7D%3D%28V_%7Bo%7D%29%5E%7B2%7D%2B2aS%5C%5C%20%20So%5C%5Ca%3D%5Cfrac%7B%28V_%7Bf%7D%29%5E%7B2%7D-%28V_%7Bo%7D%29%5E%7B2%7D%20%7D%7B2S%7D%5C%5C%20a%3D%5Cfrac%7B%2824m%2Fs%29%5E%7B2%7D-%280m%2Fs%29%5E%7B2%7D%20%7D%7B2%28120%29%7D%5C%5Ca%3D2.4%20m%2Fs%5E%7B2%7D)
As we find acceleration.Now we need to find time
So
![V_{f}=V_{i}+at\\t=\frac{V_{f}-V_{i}}{a}\\t=\frac{(24m/s)-(0m/s)}{(2.4m/s^{2} )}\\t=10s](https://tex.z-dn.net/?f=V_%7Bf%7D%3DV_%7Bi%7D%2Bat%5C%5Ct%3D%5Cfrac%7BV_%7Bf%7D-V_%7Bi%7D%7D%7Ba%7D%5C%5Ct%3D%5Cfrac%7B%2824m%2Fs%29-%280m%2Fs%29%7D%7B%282.4m%2Fs%5E%7B2%7D%20%29%7D%5C%5Ct%3D10s)
Now for distance
So
![Distance=velocity*time\\Distance=(24m/s)*(10s)\\Distance=240m](https://tex.z-dn.net/?f=Distance%3Dvelocity%2Atime%5C%5CDistance%3D%2824m%2Fs%29%2A%2810s%29%5C%5CDistance%3D240m)
The practice of playing top hits several times a day on radio stations is called rotation.
Answer:
1660 V
Explanation:
Resistance should be determined and then voltage drop across the power line can be determined.
R = ρ L /A
Here ρ = Resistivity of aluminum = ![2.7\times 10^{-8}\Omega m](https://tex.z-dn.net/?f=2.7%5Ctimes%2010%5E%7B-8%7D%5COmega%20m)
L = length = 32 km = 32,000 m
Area of cross section = A = π r² = π (0.027/2)² = 0.00057255 m²
Resistance = R =
(
(32,000)/(0.00057255) = 1.5090 Ohms.
Voltage drop = V = I R = (1100)(1.5090) = 1659.9 V.
(If resistivity value is different, then the resistance will be different and hence final answer for voltage will also vary ).
Answer:
The potential enwrgy associated with charge decreases.
The ele ric field does negative work on the charge.
Explanation:
Answer:
1.8 m/s²
36 N
34.8 N
Explanation:
For the monkey :
m₁ = mass of monkey = 4.50 kg
T₁ = Tension force in the rope on monkey's side
a = acceleration
From the force diagram, force equation for the motion of monkey is given as
m₁ g - T₁ = m₁ a
(4.50 x 9.8) - T₁ = 4.5 a
T₁ = 44.1 - 4.5 a eq-1
For the bunch of bananas :
m₂ = mass of bunch of bananas = 3 kg
T₂ = tension force in the rope on the side of banana
From the force diagram, force equation for the motion of bananas is given as
T₂ - m₂ g = m₂ a
T₂ - (3 x 9.8) = 3 a
T₂ = 29.4 + 3 a eq-2
m = mass of the pulley = 1.50 kg
r = radius of the pulley = 0.090 m
α = angular acceleration of pulley = a/r
Torque equation for the pulley is given as
(T₁ - T₂ )r = I α
(T₁ - T₂ )r = I (a/r)
T₁ - T₂ = (0.5 m r²) (a/r²)
T₁ - T₂ = (0.5) ma
using eq-1 and eq-2
44.1 - 4.5 a - (29.4 + 3 a) = (0.5) ma
44.1 - 4.5 a - (29.4 + 3 a) = (0.5) (1.50) a
a = 1.8 m/s²
Using eq-1
T₁ = 44.1 - 4.5 a
T₁ = 44.1 - 4.5 (1.8)
T₁ = 36 N
using eq-2
T₂ = 29.4 + 3 a
T₂ = 29.4 + 3 (1.8)
T₂ = 34.8 N