You roll a bowling ball down the lane and it takes 23 seconds to reach the pins. What is the total time it takes the ball to mov
2 answers:
Answer:
t = 23 seconds
Explanation:
It is given that, you roll a bowling ball down the lane and it takes 23 seconds to reach the pins. The ball moves under the action of gravity. The value of acceleration due to gravity on the surface of Earth is
The total time taken by the ball to move is equal to the time taken by th bowling ball down the lane.
So, total time it takes the ball to move is 23 seconds.
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The initial velocity of the ball is 1.01 m/s
Explanation:
The motion of the ball rolling off the desk is a projectile motion, which consists of two independent motions:
- A uniform horizontal motion with constant horizontal velocity
- A vertical accelerated motion with constant acceleration (, acceleration due to gravity)
We start by analyzing the vertical motion: we can find the time of flight of the ball by using the following suvat equation
where
s = 1.20 m is the vertical displacement (the height of the desk)
u = 0 is the initial vertical velocity
t is the time of flight
Solving for t,
Now we analyze the horizontal motion. We know that the ball covers a horizontal distance of
d = 0.50 m
in a time
t = 0.495 s
Therefore, since the horizontal velocity is constant, we can calculate it as
So, the ball rolls off the table at 1.01 m/s.
Learn more about projectile motion:
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(a) The force the ground exerts on each set of rear wheels when the plane is at rest on the runway is 0.743 MN.
(b) The force the ground exerts on the front set of wheels is 0.239 MN.
<h3>Center mass of the airplane</h3>The concept of center mass of an object can be used to dtermine the mass distribution of the airplane along the line through the center.
<h3>Some assumptions</h3>- The wheels under the wind do not pass through the center line.
- The position of the front wheel is constant and it is zero mark (origin).
- The rear wheels are at 21.7 m mark
Position of the center mass of the plane is calculated as follows;
Let the position of the center mass, Xcm = y
the center mass is 3 m in front of rear wheels, that is
21.7 - y = 3
y = 21.7 - 3
y = 18.7 m
Xcm = 18.7 m
<h3>Mass of the plane at the position of the rear wheels</h3>Let the mass of the plane at front wheels = M1
Let the mass of the plane at rear wheels = M2
There are two rear wheels, and the force exerted on each wheel due to mass of the airplane at this position is calculated as follows;
M1 + M2 = 177,000
M1 = 177,000 - M2
M1 = 177,000 - 152,529.95
M1 = 24,470.05 kg
<h3>Force exerted by the ground on the front wheel</h3>W = mg
W = 24,470.05 x 9.8
W = 239,806.5 N = 0.239 MN
Learn more about center mass here: brainly.com/question/13499822