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(A) Find the position of a particle on a circle of radius R with center at the origin. Assume that theta is the angle of the position vector with the axis. Express your answer in terms of the variables R, and Theta , and unit vectors i hat, and j hat .
(B) If the particle moves with constant speed v starting on the x-axis at t = 0, find an expression for in terms of time t and the period T to complete a full circle. Express your answer in terms of the variables t, T, and appropriate constants.
(C) Differentiate the position vector twice with respect to time to find the acceleration, and find its magnitude.
A 6.0 kg object undergoes an acceleration of 1.9 m/s2. Calculate the magnitude of the resultant force acting on the object
A 3.30-g copper coin at 21.0°C drops 45.0 m to the ground. (Assume the specific heat of copper is 387 J/kg · °C.) determine the coin's final temperature
A 5* 10^2 kg hot air balloon takes off from rest at the surface of the earth. The non conservative wind and lift forces take the balloon up, doing +9.70*10^4J of work on the balloon in the process. At what height above the surface of earth does th..
Your projectile launching system is partially jammed. It can only launch objects with an initial vertical velocity of 42.0 m/s, though the horizontal component of the velocity can vary.
A voltage of 20.0 V is applied across the two ends of a Tungsten wire with a temperature coefficient of resistivity of 4.50×10-3 1/K. determine the power dissipated by the wire
What is the total force (magnitude and direction) exerted by these two charges on a third charge q3=+5.00 nC located at y=-0.4000m
An inductor of 491 mH with a resistance of 47 ? is connected to a power supply with a maximum voltage of 135 V and a frequency of 77 Hz. Find the power loss in the inductor
how many joules of potential energy does 1.5-kg book gain when it is elevated 2 m? when it is elevated 4 mlet g 10
Two blocks are connected by a cord passing over a small (frictionless) pulley as shown below. The angle ? = 30 degrees, what is the mass, M, of the large block
An object moves with constant acceleration 4.20 m/s2 and over a time interval reaches a final velocity of 11.0 m/s. What is the total distance it travels during the interval
A light bulb is wired in series with a 134-Ω resistor, and they are connected across a120-V source. The power delivered to the light bulb is 22.3 W. What are the two possible resistances of the light bulb
The technique known as potassium-argon dating is used to date old lava flows and thus any fossilized skeletons found in them, What is the age of a piece of solidified lava
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