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An athlete reaches the finish line at a velocity of 33 m s−1. She then applies a minimum braking force of 240 N as she moves along the uphill section of track to help her come to a stop.
Calculate the minimum uphill length of track L that should be available for braking. You should ignore all frictional forces other than those applied by the athlete.
mass of sledge and athlete = 95 kg
A force of 2 pounds stretches a spring 1 foot. A mass weighing 3.2 pounds is attached to the
spring, and the system is then immersed in a medium that offers a damping force that is
numerically equal to 0.4 times the instantaneous velocity. (a) Find the equation of motion
if the mass is initially released from rest from a point 1 foot above the equilibrium position.
(b) Determine the position and velocity of the mass at t = pi/2 sec? (c) Find the first time at
which the mass passes through the equilibrium position heading upward.
A horizontal disc of radius 9.00 cm rotates about an axis which passes vertically through the center of the disc with angular velocity of 100 r.p.m. A small particle of mass 10g is dropped onto the disc and sticks to the edge of the disc. If the angular velocity is reduced to 90 r.p.m, determine the moment of inertia of the disc about the axis.
moves at a rate of 6.Om/s. (a) Determine the angular speed of the
wheel. (b) What length of thread could be wound on the rim of the
wheel in 3.0 s when it is turning at this rate
A vertical spring (ignore its mass), whose spring stiffness constant is 950 N m-1
is attached to a table. The spring is compressed down 15 cm and a 300 g ball
placed on it. The spring is then released and the ball flied off vertically. Determine the maximum height reached by the ball.
A 5.0 kg block is on a horizontal surface. The coefficient of static friction between the block and the surface is 0.6. A frame of 20 N is applied to the block and acts at an angle of 300 above the horizontal. Is the block in equilibrium? Show the free-body diagram.
A car travels 7km to east and then 4km in a direction 60° north of east.Find the magnitude and direction of the Car's displacement vector relative to positive x axis.
A car travels 7 km to east and then 4 km in a direction 60° north of east. Find the magnitude and direction of the car’s displacement vector relative to positive x-axis.
Suppose Force velocity and time are assumed to be the fundamental quantities, what will be the dimensions of mass?
