Here’s my work to your question. I used Newton’s Second Law and a kinematics equation to arrive at the answer.
Answer:
C. parabolic Curve
Explanation:
The trajectory of a projectile motion is parabolic.
If a ball is thrown at angle of 45° to the horizontal then it will follow a parabolic curve during its motion as its a projectile motion. The other options are incorrect as sine curve is a periodic type of curve. linear curve and tangential curve are also out of place.So option C is correct
Say we have a cylinder
that has a height of dx, we see that the cylinder has a volume of: <span>
<span>Vcylinder = πr^2*h = π(5)^2(dx) = 25π dx
Then, the weight of oil in this cylinder is:
Fcylinder = 50 * Vcylinder = (50)(25π dx) = 1250π dx.
Then, since the oil x feet from the top of the tank needs to
travel x feet to get the top, we have:
Wcylinder = Force x Distance = (1250π dx)(x) = 1250π x dx.
<span>Integrating from x1 to x2 ft gives the total work to be: (x1
= distance from top liquid level to ground level; x2 = distance from bottom
liquid level to ground level)</span>
<span>W = ∫ 1250π x dx
<span>W = 1250π ∫ x dx
W = 625π * (x2 – x1)</span></span></span></span>
<span>x2 = 14 ft + 15 ft = 29 ft</span>
x1 = 14 ft + 1 ft = 15
ft
<span>
W = 625π * (29^2 - 15^2)
<span>W = 385,000π ft-lbs
= 1,209,513.17 ft-lbs</span></span>
First let us examine our options. For B, the law of inertia state that an object will keep on moving unless acted upon an external force. And I am thinking this is not the appropriate answer here. Also for C momentum and mass are not the same. Momentum is energy. Momentum cannot be converted to mass. A is the answer since momentum. When the ball hits the box, the box will move and decreases the velocity of the rock. Here momentum is transferred. <span />
If you double the velocity you would have to halve the magnetic field strength to keep the force on the particle the same and hence the trajectory.
F = qvB
