6. Intro to Forces (Dynamics)

A 20,000 kg rocket has a rocket motor that generates 3.0 x 10⁵ N of thrust. Assume no air resistance. What is the rocket's initial upward acceleration?

(III) A particle of mass m, initially at rest at x = 0, is accelerated by a force that increases in time as F = Ct². Determine its velocity v and position x as a function of time.

Which force causes a soccer ball to take a curved path when it is kicked with spin?

In a diagram showing two point masses separated by varying distances, at which location is the gravitational force of attraction between them the greatest? (Recall that the gravitational force between two masses is given by $F=\frac{G}{r}\ast \frac{m\ast m}{r^2}$, where $F$ is the force, $G$ is the gravitational constant, $m$ are the masses, and $r$ is the distance between them.)

A block of mass $m$ hangs at rest from a rope attached to the ceiling. What is the tension $T$ in the rope?

When multiple forces act on an object, what determines the object's acceleration?

A force $f$ acts at an angle $\theta$ with respect to a pole. Which expression gives the magnitude of the component of $f$ projected along the pole?

Which type of force does not cause a change in motion of an object?

Which of the following is a force that acts on a heavier-than-air flying vehicle?

Three point charges are placed along the x-axis: $q_1$ at $x=0$, $q_2$ at $x=a$, and $q_3$ at $x=b$ (with $0<a<b$). What is the x-component of the total force exerted on the third charge by the other two? (Assume all charges are stationary and the system is in vacuum.)

When you pass a large truck during rain or snow, which of the following is most likely to occur?

Two identical metal balls are suspended by insulating threads and are brought into contact, then separated. If one ball was initially charged and the other was neutral, what happens to the charges on the balls after separation?

Two forces, $F_1$ = $10$ $N$ acting along the positive x-axis and $F_2$ = $10$ $N$ acting along the positive y-axis, are applied to an object. What is the magnitude of the resultant force and the angle it makes with the positive x-axis?

What is the net force acting on an apple that weighs $1N$ when you hold it at rest above your head?