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Given that a position vector of the points a,b,c are 6i+2j+6k ,2i+3j+k and14i+16k respectively. Find vector ab and ac and state the exact value of modulus of ab.
If Ramón is standing on a balcony 84 feet above the ground and throws a penny straight down with an initial velocity of 10 feet per second, in how many seconds will it reach the ground?
Why do you believe the order of operations is important? In other words, why is it important to follow this order rather than solving the problem from left to right?
38 customers ordered all three kinds of food and 20 ordered none. a) The number of customers ordering Thai food is? b) The number of customers who did not order Thai food is?
A constant tangential force of 270 N applied to its edge causes the wheel to have an angular acceleration of 0.921 rad/s2. (a) What is the moment of inertia of the wheel?
The ratio of staff members to students in the school was 3 to 15. If there was a total of 2250 in the school how many of them were staff members?
Derive the expressions to find the wavelength of a particle of mass m and charge q accelerated through a potential difference V for the non-relatavistic case and relativistic case.
Arvin the Ant travels 30 cm eastward, then 25 cm northward, and finally 15 cm westward. What is Arvin's direction of displacement with respect to his original position?
Carole's car averages 14.9 mi/gal in city driving and 25.7 mi/gal in highway driving. if she drove a total 474.9 mi on 21 gal. of gas, how many of the gallons were used for city driving?
A car traveling at 36.4 m/s takes 27.0 minutes to travel a certain distance according to the driver's clock in the car. How long does the trip take according to an observer at rest on Earth?
0.80g of sodium hydroxide (NaOH) pellets are dissolved in water to make 6.5L of solution. What is the pH of this solution?
A paintball is aimed at a target and shot at an angle of 25 degrees above horizontal and lands at its original height 3.00s later. Find the distance of the shooter to the target.
Four vectors all have the same magnitude. Vector 1 is at 30, Vector 2 is at 135, vector 3 is at 240, and Vector 4 is at 315. What vector has the greatest magnitude x-component and which vector has t
Five boxes, each having weight 100 N, are stacked up. The bottom box is the fifths from the top. What is the magnitude of the normal force upward exerted by the fourth box from the top on the third
A block of mass 2 kg is initially moving with speed 4m/sec at point A on a smooth inclined plane with andle 60 degrees to the horizontal. At point B on the plane (1m down the plane from point A), it
A runner, beginning from x=0 at t=0, accelerates at a constant rate for 7 seconds and reaches a speed of 7m/sec. The runner then decreases her speed at a rate of 2m/sec2 for 2 seconds and maintains
An object moves at a constant velocity of 11 m/s to the southwest for an inverval of 20 s. Halfway through this interval, what is the magnitude of its instantaneous velocity?
The largest transformer ever built handles a power of 1.50x109 W. This transformer is used to step down 765 kVAC to 345 kVAC. What is the rms current in the primary? What is the current in the secon
In a series RL circuit, a 1.2-kHz oscillating emf has amplitude εmax= 24 V and the current amplitude is Imax= 0.45 A. The ratio L/R is 5.0x10-3s. What is the value of the resistor?
A 182 mH inductor whose windings have a resistance of 8.20 Ω is connected across a 9 V battery with an internal resistance of 4.1 Ω. How much energy (in J) is stored in the inductor?
A 3.0-kg block is pulled along a FRICTIONLESS surface with a force of 42N. Attached to that block with a light string is another 3.0-kg block. Disregarding friction and the weight of the string, wha
A 200 gram metal block absorbs 1500 joules of heat, and its temperature changes by 150 degrees Celsius. What is the specific heat capacity of this metal?
Assuming that frictional forces may be neglected, what is the magnitude of the acceleration of the 19 kg block?
At what angle (less than 90°) with respect to this field will this particle, moving at the same speed, experience a magnetic force of magnitude 2.2F.
You cause a particle to move from point A, where the electric potential is 17.7 V, to point B, where the electric potential is -22.7 V. Calculate the change that occurs in the particle's electrostat