Answer:
190 km/h
Explanation:
randomly picked it
To find the plane's velocity with respect to the ground, we need to consider the combination of the plane's airspeed and the wind's speed and direction. The resulting velocity is 180 km/h north, 60 km/h west.
To find the plane's velocity with respect to the ground, we need to consider the combination of the plane's airspeed and the wind's speed and direction. Since the plane is heading due north and the wind is blowing from the west, we can use vector addition to find the resulting velocity.
First, we break down the airspeed into its north and east components. The north component is 180 km/h, and the east component is 0 km/h because the plane is not moving in that direction.
Next, we break down the wind's velocity into its north and east components. The north component is 0 km/h because the wind is blowing from the west, and the east component is -60 km/h because the wind is against the plane's motion.
Finally, we add the north components together and the east components together. The resulting velocity is 180 km/h north, 60 km/h west. This is the plane's velocity with respect to the ground.
#SPJ3
Both students do the same amount of work, but Ben delivers more power due to completing the work in a shorter time.
In this case, both Ben and Bonnie are lifting the same 50 kg barbell over their heads, but they are doing it at different rates. Bonnie lifts the barbell 10 times in one minute, which means she is doing the work over a longer period of time. Ben, on the other hand, lifts the barbell 10 times in 10 seconds, doing the work in a shorter amount of time.
The amount of work done is equal to the force exerted multiplied by the distance moved. Since the mass and distance are the same for both students, the work done is equal. However, power is defined as the rate at which work is done, which is calculated by dividing the work done by the time taken to do it. Since Ben completes the work in a shorter period of time, he delivers more power than Bonnie.
Therefore, Ben does the most work and delivers the most power.
#SPJ2
Answer:
Both of them
Explanation:
The baseball will undergo 16 revolutions on its way to home plate.
Explanation:
As the parameters which are given are speed at which the baseball is thrown, (v = 90 mi/h) and the distance between the home plate and the ball thrown is 60 ft. Also the spin is said to 1950 rev/min, it indicates that the ball will undergo 1950 revolution in every single minute. So in order to determine the number of revolutions the baseball will make in its way to home plate, we have to first determine the time taken for the baseball to reach its home plate with the given speed.
As we know that speed can be obtained by the ratio of distance with time, in the present case, we know the speed and distance, then time can be obtained by ratio of distance with speed.
At first, we have to convert the speed from mi/h to ft/min
1 mi/hr = 5280/ 60 ft/min = 88 ft/min.
Then, Time = Distance/Speed = 60/(90×80)=60/7200=8.33 × 10⁻³ min
Since the ball undergoes 1950 revolutions in 1 min, then in 8.33 × 10⁻³ min, the number of revolutions will be 1950×8.33 × 10⁻³ = 16 rev
Thus, the baseball will undergo 16 revolutions on its way to home plate.
Verify the identity. Show your work.
cot θ ∙ sec θ = csc θ