Answer:
Explanation:
When a force is applied to an object over a certain period of time, it is said to apply an impulse to the object. The magnitude of the impulse is given by:
J=F*Δt
When an impulse is provided to an object, the momentum of the object will change, as in:
J=Δp=
So given:
Initial momentum
Applied force
J=
F*Δt=
Answer:
Explanation:
First, we will use conservation of the linear momentum:
so:
where is the mass of the dart, is the speed of the dart just before it strickes the apple, the mass of the apple and the velocity of the apple and the dart after the collition.
Then, solving for V_s:
now, using the conservation of energy:
so:
where g is the gravity and h how high does the apple move upward.
Now, replacing and solving for h, we get:
Answer:
tan (x eˣ) + C
Explanation:
∫ (eˣ + x eˣ) / (cos² (x eˣ)) dx
First, use u-substitution.
u = x eˣ
du = (eˣ + x eˣ) dx
∫ 1 / (cos² u) du
∫ sec² u du
tan u + C
Substitute back:
tan (x eˣ) + C