Answer:
46.4 s
Explanation:
5 minutes = 60 * 5 = 300 seconds
Let g = 9.8 m/s2. And be the slope of the road, s be the distance of the road, a be the acceleration generated by Rob, 3a/4 is the acceleration generated by Jim . Both of their motions are subjected to parallel component of the gravitational acceleration
Rob equation of motion can be modeled as s = a_Rt_R^2/2 = a300^2/2 = 45000a[/tex]
Jim equation of motion is
As both of them cover the same distance
So Jim should start 346.4 – 300 = 46.4 seconds earlier than Rob in other to reach the end at the same time
Answer:
Part a)
Part b)
Part C)
Part d)
In horizontal direction velocity will remain constant
in vertical direction we have
Explanation:
Part a)
Horizontal speed of the cannon
angle of projection
now we have
horizontal speed =
vertical speed =
now the time taken by it to cover the distance 100 m from the wall
Part b)
Since it hits the ground in the same time
so the height of the castle is given as
Part C)
At highest point of the projection
the vertical component of the velocity will become zero
so we will have
Part d)
In horizontal direction velocity will remain constant
so we have
in vertical direction we have
Part e)
The strength of the thrust is 122 newtons.
The motion of the rocket is described by the second Newton's law, whose model is shown below:
(1)
Where:
- - Thrust, in newtons
- - Drag, in newtons
- - Mass of the rocket, in kilograms
- - Net acceleration of the rocket, in meters per square second
If we know that , and , then the strength of the thrust is:
The strength of the thrust is 122 newtons.
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Answer:
k = 44000 N/m
Explanation:
Given the following data;
Maximum gravitational potential energy = 770 J
Elastic potential energy = 14% of 770 J = 14/100 * 770 = 107.8 J
Extension, x = 42 - 35 = 7cm to meters = 7/100 = 0.07 m
To find the spring constant, k;
The elastic potential energy of an object is given by the formula;
Substituting into the equation, we have;
Cross-multiplying, we have;
k = 44000 N/m