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.
A basketball player maintains a steady pace of 2.5 m/s while throwing a basketball vertically at 6.0 m/s. How far does the player advance before getting the ball back? Air resistance is negligible. I was unsure which formula to apply to this scenario. Is there any relevance to an angle? First, we determine the duration to reach peak height. The total time for the flight will be double the ascent duration. According to Newton's equations of motion: v = u + at. At the highest point, v = 0, where u is 6 m/s. Thus, the equation becomes 0 = 6 - 9.81t, leading us to t = 0.61 seconds. Therefore, the total flight time equals 1.22 seconds as the player runs towards the ball at a horizontal speed of 2.5 m/s. The distance traveled can be calculated using distance = speed × time, resulting in distance = 2.5 m/s * 1.22, yielding a final distance of 6.11m.
The speed is V=27.24 m/s.
We need to utilize the linear momentum conservation principle:
The eagle's speed can be defined via two components:
Since speed is a scalar quantity.
Answer:
option D.
Explanation:
The correct choice is option D.
For an object in equilibrium, the torque measured at any point will be zero.
An object is deemed to be in equilibrium when the net moment acting on it equals zero.
If the object experiences a net moment not equal to zero, it will rotate and will not remain stable.
1) The buoyant force acting on an object submerged in a fluid can be described as:
where
indicates the fluid's density,
represents the volume of the fluid displaced, and
signifies the gravitational acceleration.
2) To determine the volume of the displaced fluid, we note that the titanium object is entirely submerged in the fluid (air), thus this volume matches the volume of 1 Kg of titanium, which has a density of
. Using the correlation between density, volume, and mass, we derive
3) We can now revisit the equation in step 1) to compute the buoyant force. Given that the air density is
, this provides us with
4) The weight of 1 Kg of titanium is:
Therefore, the buoyant force is negligible when compared to the weight.
