Answer:
Rod 1 has greater initial angular acceleration; The initial angular acceleration for rod 1 is greater than for rod 2.
Explanation:
For the rod 1 the angular acceleration is
Similarly, for rod 2

Now, the moment of inertia for rod 1 is
,
and the torque acting on it is (about the center of mass)

therefore, the angular acceleration of rod 1 is


Now, for rod 2 the moment of inertia is


and the torque acting is (about the center of mass)


therefore, the angular acceleration
is


We see here that

therefore

In other words , the initial angular acceleration for rod 1 is greater than for rod 2.
Knowing the direction of a force is important because it helps someone know the motion of the object. if you use a free body diagram, then it becomes easy to see all the forces being applied to an object. if there is more force going one way, the object is accelerating in that direction. if all the forces cancel each other out, then the object is at a constant speed or is at rest.
Answer:
h = 81.63 m
Explanation:
Given that,
The speed of the car, v = 40 m/s
We need to find the height when the car comes to rest. We can use the conservation of energy to find it i.e.

So, it will reach to a height of 81.63 m and comes to rest.
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Explanation:
Given that,
Mass of the rocket, m = 2150 kg
At time t=0 a rocket in outer space fires an engine that exerts an increasing force on it in the +x−direction. The force is given by equation :

Here F = 888.93 N when t = 1.25 s
(c) We can find the value of A first as :

The value of A is
.
(a) Let J is the impulse does the engine exert on the rocket during the 4.0 s interval starting 2.00 s after the engine is fired. It is given in terms of force as :

Limits will be from 2 s to 2+ 4 = 6 s
It implies :

(b) Impulse is also equal to the change in momentum as :

Hence, this is the required solution.