Physics

An object is moving in a horizontal circle on a string with a constant angular velocity $\omega$. The tension in the string, which is approximately horizontal, is $F$. If $\omega$ is doubled while all the other quantities are kept constant, what will the tension in the string become?
A. $4F$
B. $2F$
C. $F/2$
D. $F/4$

An object is executing uniform circular motion, as shown in the figure below.

At position P, which of the following shows the directions of instantaneous velocity and acceleration?
A. $\vec{v}$ downward and $\vec{a}$ downward.
B. $\vec{v}$ downward and $\vec{a}$ upward.
C. $\vec{v}$ downward and $\vec{a}$ to the right.
D. $\vec{v}$ downward and $\vec{a}$ to the left.

An engineer turns a nut by applying a constant force to a $25.00\ \mathrm{cm}$ spanner. They applied this force at different angles and measured the torque. The graph shows the data collected by the engineer.

What is the magnitude of the force applied to the nut?
(A) $14.8\ \mathrm{N}$
(B) $84.8\ \mathrm{N}$
(C) $339\ \mathrm{N}$
(D) $1333\ \mathrm{N}$