Homework Statement
Given that q = 20 µC and d = 11 cm, find the direction and magnitude of the net electric force exerted on the point charge q1 below.
Homework Equations
F(elect) = k (q1,q2)/d^2
The Attempt at a Solution
1. after converting each unit to its appropriate form,
F(net...
Homework Statement
Two closes containers are connected by a valve, which initially separates the containers from each other. C
Container A has 8.00 L of H2 at 3.00 atm and temperature 400 k.
Container B has 6.00 L of O2 at 4.00 atm and temperature 400 k
The valve is opened, the gases mix, and...
Homework Statement
The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions are ℓ = 4 m and
w = h = 9 m, and ℓ and w are increasing at a rate of 1 m/s while his decreasing at a rate of 6 m/s. At that instant find the rates at which the following...
Homework Statement
A model rocket takes off from ground level accelerating upward at a = 3.0 g. This upward acceleration lasts for a time τ = 15 s. Afterward the rocket continues upward, eventually stops rising, then falls back to the ground.
How much time passes from the initial upward...
Homework Statement
Vector A has magnitude A = 4.0 units and is directed θA = 15◦ counterclockwise from the positive x-axis. Vector B has magnitude B = 4.0 units and is directed θB = 85◦ counterclockwise from the positive x-axis. Determine the following quantity: |A + B|^2 − |A − B|^2...
Homework Statement
A disk of radius 16 cm rotating around a fixed axis at its center is accelerated from rest to an angular velocity of +13rev/min in +0.27 rev.
(A )Find the angular acceleration (in rad/s^2), which is assumed to be constant, during this time interval.
(B) what is the total...
Homework Statement
Two blocks are stacked one on top of the other with mass m1 on top and m1/m2= 3.0. There is no friction between m2 and the ground, but the coefficient of friction between m1 and m2 are given by μk= 0.40 and μs= 0.50. For what magnitudes of force acting horizontally on m1 do...
Homework Statement
Find the local maximum and minimum values and saddle points of the function
f(x,y) = x^2 + xy + y^2 + y
Homework Equations
Local max/min
critical points
saddle
The Attempt at a Solution
1) partial derivative: fx = 2x+y fy = x+2y+1
from here, i'm a little confuse on...
Homework Statement
A 6.64-g bullet is moving horizontally with a velocity of +340 m/s, where the sign + indicates that it is moving to the right. The bullet is approaching two blocks resting on a horizontal frictionless surface. Air resistance is negligible. The bullet passes completely through...
Homework Statement
On a banked race track, the smallest circular path on which cars can move has a radius of 116 m, while the largest has a radius of 153 m, as the drawing illustrates. The height of the outer wall is 11.6 m. Find (a) the smallest and (b) the largest speed at which cars can move...
Homework Statement
A centrifuge is a device in which a small container of material is rotated at a high speed on a circular path. Such a device is used in medical laboratories, for instance, to cause the more dense red blood cells to settle through the less dense blood serum and collect at the...
Homework Statement
A skateboarder shoots off a ramp with a velocity of 5.30 m/s, directed at an angle of 52.0° above the horizontal. The end of the ramp is 1.40 m above the ground. Let the x axis be parallel to the ground, the +y direction be vertically upward, and take as the origin the point...
Homework Statement
(a) Sketch the plane with the given vector expression
(b) find r'(t)
(c) sketch the position vector r(t) and the tangent vector r'(t) for the given value of t
r(t) = <t^2,t^3> t=1
Homework Equations
The Attempt at a Solution
1) i derived the equation : r'(t) =...
Homework Statement
While standing on a bridge 18.3 m above the ground, you drop a stone from rest. When the stone has fallen 2.50 m, you throw a second stone straight down. What initial velocity must you give the second stone if they are both to reach the ground at the same instant? Take the...
Homework Statement
A car is traveling along a straight road at a velocity of +34.2 m/s when its engine cuts out.
For the next 2.09 seconds, the car slows down, and its average acceleration is a1. For the
next 6.49 seconds, the car slows down further, and its average acceleration is a2. The...
Homework Statement
Find a nonzero vector orthogonal to the plane through the point P, Q,and R. (b) also find the area of triangle PQR
P(1,0,1) , Q(-2,1,3) , R(4,2,5)
Homework Equations
-Cross product
-Finding the Angle
-Area formula
The Attempt at a Solution
My steps:
1. i found the...
Homework Statement
Find the Maclaurin series for f(x)=(1-x)^-2 using the definition of a Macluarin series,[ Assume that f has a power series expansion. Also find
Homework Equations
Maclaurin Series
The Attempt at a Solution
Steps:
1) I found the first 3 derivative of the function
2) I...
Homework Statement
Determine whether the series is either Converge or Diverge, if it's convergent, find its sum
∑ from n=1 to ∞ of (1+2^n)/(3^n)
Homework Equations
The Attempt at a Solution
Steps:
1) i replaced the (1+2^n) to just (2^n) and my equation behaves like ∑ (2/3)^n...
I'm confuse by what the question is asking as far as the conversion (km/hr/s). Can any please help me?
Homework Statement
A jumbo jet must reach a speed of 240 km/hr on the runway for takeoff. What is the minimum constant acceleration (in km/hr/s) needed for takeoff from a 1.34 km runway...