Amber applies a net force of 35 N to pull her younger brother (32 kg) in a wagon (3 kg). at what rate does the wagon accerlerate
1 answer:
Answer:
C. 1.00 m/s^2
Explanation:
We can solve the problem by using Newton's second law:
where
F is the net force acting on an object
m is the mass of the object
a is its acceleration
In this case, the net force applied by Amber is F=35 N, while the total mass of the brother+the wagon is
Therefore, we can re-arrange the previous equation to find the acceleration:
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Answer:
The effective spring constant of the firing mechanism is 1808N/m.
Explanation:
First, we can use kinematics to obtain the initial velocity of the performer. Since we know the angle at which he was launched, the horizontal distance and the time in which it's traveled, we can calculate the speed by:
(This is correct because the horizontal motion has acceleration zero). Then:
Now, we can use energy to obtain the spring constant of the firing mechanism. By the conservation of mechanical energy, considering the instant in which the elastic band is at its maximum stretch as t=0, and the instant in which the performer flies free of the bands as final time, we have:
Then, plugging in the given values, we obtain:
Finally, the effective spring constant of the firing mechanism is 1808N/m.