Answer:
a) t = 3.027 10⁻⁹ s
, b) y = 2.25 10⁻² m
Explanation:
We can solve this problem using the kinematic relations
a) as on the x-axis there is no relationship
vₓ = x / t
t = x / vₓ
We reduce the magnitudes to the SI system
x = 5.6 cm (1m / 100 vm) = 0.056 m
we calculate
t = 0.056 / 1.85 10⁷
t = 3.027 10⁻⁹ s
b) the time is the same for the two movements, on the y axis
y = v₀t + ½ a t²
as the beam leaves horizontal there is no initial vertical velocity
y = ½ a t²
let's calculate
y = ½ 5.45 10¹⁵ (3.027 10⁻⁹)²
y = 2.25 10⁻² m
To lift the bag straight up takes (F · D) = (45 · 1.2) = 54 joules of energy (work).
Moving the bag horizontally 'across' gravity requires no work.
It doesn't matter how far.
Answer:
20m/s
Explanation:
Given parameters:
Distance of throw = 50m
Time = 3s
Unknown:
Average speed = ?
Solution:
Average speed is distance divided by time;
Average speed =
Insert the parameters and solve;
Average speed =
= 16.66667m/s = 20m/s
4days and 12hours
Explanation:
Given parameters:
Average speed = 15m/s
Distance = 1800 miles
Unknown:
Number of days = ?
Solution:
Speed is the rate of change of distance with time;
Speed = 
Since the unknown is number of days, it is a measure of time:
Time = 
The distance from California to Lansing is 1800miles. The journey takes the truck drivers to and fro. It is a two way trip;
Total distance = 1800 miles x 2 = 3600miles
We need to convert miles to meters since that is the unit we can conveniently work with;
1 mile = 1609.34m
3600 miles = 3600 x 1609.34
= 5793638m
Inputting the values in the equation:
Time =
= 386242.53s
Now we need to convert to day;
In a day, = 60 x 60 x 24 = 86,400s
1 day = 86400s
Therefore;
The number of days =
= 4.47days
This implies that it will take them 4 days and approximately 12 hours.
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