Motion with Constant Acceleration Two space crafts approaching on parallel paths

Spacecraft A and spacecraft B are traveling on paths parallel to an x axis. Initially, at t=0, A is located at XoA= -30 m, moving at VoA=+25 m/sec, and having constant acceleration aA = -4.5 meters per second squared. Also at t=0, spacecraft B is located at XoB= +60 m, moving with initial velocity VoB= -9.5 m/sec and accelerati ...continues

Position vector r(t) with unit vectors. Connect r(0) and r(3) and the vector difference, D. From r(t) write and graph x(t) and y(t).

A point moves in the x,y plane. Position vector r(t), from the origin to the point, gives the location of the point at time, t. Unit vectors are i and j, each 1 unit long in the x and y directions respectively. Write answers assuming units of distance in meters and times in seconds. Given: r(t)= (2 t^2 + 15) i - (8 t - 9) j ...continues

Newton's Second Law acceleration of a mass on a plane connected by a cord over a pulley to a suspended rock.

A mass M= 6.2 kg on a plane inclined at angle 33° is connected by a cord parallel to the plane then over a frictionless, massless pulley to a suspended rock of mass R. The friction coefficient, µ=.25 between the mass and the plane. (See pictures in attachment File #1.) Find the mass of the rock for the following situations: ...continues

Motion of a car on a circular path. Example of centripetal motion.

A car is traveling on a horizontal circular track or radius equal to 22 meters. If the coefficient of static friction is 0.951, what is the maximum speed that the car can take without skidding?

Tension in a string, hanging mass.

A mass of 4 kg is hanging from the roof of a porch by two wires. One wire makes an angle 30degree from the vertical and the other 45degree from the vertical. Determine the tension in the two wires.

Motion of an elevator: the acceleration with which an elevator can move up.

The mass of an elevator is 698 kg. The tension in the cable is 9250 N. At what rate does the elevator accelerate upward?

Working with tension in a pendulum.

A simple pendulum having a bob of mass m undergoes small oscillations. If theta is the small angle that makes with the vertical at the extreme positions, find the tension in the string as a function of the angle made by the string with the vertical. When is the tension maximum and when it is a minimum?

Working with projectile motion: A kicked football.

A foot ball is kicked with a velocity of 20m/s at an angle of 45 deg with the horizontal. (a) Find the time taken by the ball to strike the ground. (b) The maximum height it reaches (c) How far away from the kick does it hit the ground? Take g = 10m/s^2

Determining the elongation in a spring when the mass is immersed in water.

A copper piece of mass 10g is suspended by a vertical spring. The spring elongates 1cm over its natural length to keep the piece in equilibrium. A beaker containing water is now placed below the piece so as to immerse it completely in water. Find the elongation of the string. Density of copper is 9000 kg/m^3 g = 10 m/s^2

Calculating the variation of acceleration due to gravity on Earth.

A body weighs 98N on a spring balance at the North Pole. What will be its weight recorded on the same scale if it is shifted to the equator? Radius of earth is 6400km