Phy-122 Scalars and Vectors 02
5-
A force of 6N is acting along x-axis. Its y-component is
6 Zero
c) 12N
a) 6N
d) 3N
6- Cos60°has the value:
a) 1b)0.8666) 0.5
d) A Cote
a) A Sino
d) 0.707
7. If a vector A makes an angle with x-axis, its X-componen
b) A tan
O A Coso
3. If two vectors make an angle of90°with each other, their scal
10
b) 1
c) -1
d) 2
-
The scalar product of two vectors A and B at an angle 8
is
B Sind © AB Coso d) AB ta
b)​

The membrane surrounding a living cell consists of an inner and an outer wall that are separated by a small space. assume that the membrane acts like a parallel plate capacitor in which the effective charge density on the inner and outer walls has a magnitude of 7.0 × 10-6 c/m2. (a) what is the magnitude of the electric field within the cell membrane? (b) find the magnitude of the electric force that would be exerted on a potassium ion (k+; charge = +e) placed inside the membrane.

Astudent throws a water balloon with speed v0 from a height h = 1.76 m at an angle θ = 21° above the horizontal toward a target on the ground. the target is located a horizontal distance d = 9.5 m from the student’s feet. assume that the balloon moves without air resistance. use a cartesian coordinate system with the origin at the balloon's initial position. (a) what is the position vector, rtarge t, that originates from the balloon's original position and terminates at the target? put this in terms of h and d, and represent it as a vector using i and j. (b) in terms of the variables in the problem, determine the time, t, after the launch it takes the balloon to reach the target. your answer should not include h. (c) create an expression for the balloon's vertical position as a function of time, y(t), in terms of t, vo, g, and θ. (d) determine the magnitude of the balloon's initial velocity, v0, in meters per second, by eliminating t from the previous two expressions.

What is the single most important equation in all of physics?