The lord of the greeks answer d
Answers:
a) 9.035 s
b) -88.543 m/s
Explanation:
The described situation is related to vertical motion (especifically free fall) and the equations that will be useful are:
(1)
(2)
Where:
is the final height of the steel ball
is the initial height of the steel ball
is the initial velocity of the steel ball (it was dropped)
is the final velocity of the steel ball
is the time it takes to the steel ball to reach the ground
is the acceleration due to gravity
<u>Knowing this, let's begin with the answers:</u>
<h2>a) Time it takes the steel ball to reach the ground</h2>
We will use equation (1) with the conditions listed above:
(3)
Isolating
:
(4)
(5)
(6)
<h2>b) Final velocity of the steel ball</h2>
We will use equation (2) with the conditions explained above and the calculaated time:
(7)
(8)
(9) The negative sign indicates the direction of the velocity is downwards
<h2>
Mass of object in Earth is 1.37 kg</h2>
Explanation:
On planet B where the magnitude of the free-fall acceleration is 1.91g , the object weighs 25.74 N.
We have
Weight = Mass x Acceleration due to gravity
On planet B
25.74 = Mass x 1.91 g
25.74 = Mass x 1.91 x 9.81
Mass = 1.37 kg
Mass is constant for an object. It will not change with location.
Mass of object in Earth = Mass of object in Planet B
Mass of object in Earth = 1.37 kg
Formula for Velocity = DISTANCE traveled/TIME to travel distance + direction
For this one, we can use mph(miles per hour) as unit.
v = 1,000 miles / 336 hours (2 weeks = 24 hours x 14 days = 336 hrs)
= 2.98 mph North
or we can use kph (kilometers per hour)
v = 1609.34 km / 336 hours (1 mile = 1.60934 km)
= 4.79 kph North