Answer:
7.166 hours = 430 minutes.
Explanation:
As both trains are approaching each other on the same track, their relative speed is the sum of their individual speeds. Hence, the time until they intersect (and inevitably collide) is determined by how long it takes for speeds of 65 mph and 55 mph to cover the total distance of 860 miles. One train will cover part of the distance, while the other will cover the remainder. To calculate the required time, we can apply the formula:
1 hour ---> 120 miles
X ----> 860 miles; hence X = (860 miles * 1 hour)/120 miles = 43/6 hours = 7.16666 hours. To convert this into minutes, recall that 1 hour equals 60 minutes; therefore, 43/6 hours * 60 minutes/hour = 430 minutes.
The force acting upon a charged particle in the presence of a magnetic field can be described by the equation: where q symbolizes the particle's charge, v represents its velocity, B indicates the magnetic field strength, and θ is the angle between the vectors of B and v. In this context, we consider: q as the charge of a honey bee; v as the flying speed of the bee; B as the Earth's magnetic field's average strength; noting that the bee's motion from east to west contrasts with the south to north direction of the magnetic field. By substituting these parameters into the equation, we arrive at an estimate.
d. at the same velocity. Explanation: I'll assume the car is also moving west since the helicopter is stated to be above it. From the perspective of someone in the car, the helicopter will appear stationary as they share the same velocity. Viewed from along the roadside, both are traveling at the same speed. Remember that velocity is a vector quantity, which includes direction, while speed measures the rate at which an object covers distance without direction. Hence, velocity is the appropriate term here.
The sheet's charge density calculates to be 1.384×10⁻⁷C/m².
Charge density is the ratio of charge per unit area.
The square sheet has dimensions l=17 cm.
To compute the area A of the sheet.
The overall charge Q on the sheet is
The charge density σ is defined as
We substitute 4×10⁻⁹C for Q and 0.0289 m² for A.
Thus, the charge density for the sheet is 1.384×10⁻⁷C/m².
We know the formula a = (v₂ - v₁) / t.
Here, (v₂ - v₁) equals 33 - 11, giving us 22 m/s.
t is 10 seconds.
Substituting these values in, we have:
a = 22/10, thus a = 2.2 m/s².
In conclusion, your answer should be 2.2 m/s².
Hope this is helpful!
