A projectile is fired horizontally outward from the top of a table. The initial

Question

A projectile is fired horizontally outward from the top of a table. The initial height of the bullet above the ground is 1.5 meters and the bullet travels a horizontal distance of 3.0 meters before striking the ground. Calculate the time that the bullet was in the air muzzle velocity of the bullet. A projectile is fired with an initial velocity of 10.0 m/s at an angle of 30 degree above the horizontal. Is it fired at ground level and returns to ground level. Determine the projectile's horizontal range. In the Fletcher cart apparatus problem. a 5.0 kg object resting on a horizontal table is connected by a string to a 1.0 kg hanging object. The coefficient of kinetic friction between the object and the table is 0.10. The system is released front rest. Determine the rate of acceleration of the system. An object of mass 5.0 kg revolves at 600 rpm in a horizontal circle of radius 1.5 m. Determine the a) period of the object's motion in seconds, b) object's speed, c) magnitude of the centripetal acceleration. d) magnitude of the centripetal force acting on the object. A 2.0 kg object is released from rest from the top of a 5.0 m long frictionless incline. The angle of the incline is 30 degree above the horizontal Calculate the object's a) velocity at the bottom of the incline, b) rate of accelerant and c) time required for the object to reach the bottom. In the ballistic pendulum experiment, a 0.50 kg bullet was fired at 9.9 m/s horizontally into a 2.00 kg pendulum which was initially at rest. The collision was completely inelastic. Determine the maximum height the bullet + pendulum reached above their initial position. In an experiment using the air track, a 3.0 kg glider moving at 2.0 m/s struck a 2.0 kg glider which was initially at rest. The collision was completely inelastic and after impact the two gliders moved together Determine the velocity of the two gliders just after impact. A sphere of mass 2.0 kg is released front rest and rolls without slipping down a 5.0 m lone incline. The angle of the incline is 10 degree. Calculate the sphere s a) tangential speed at the bottom, b) rare of acceleration, and c) time to travel from the top to the bottom.

Explanation / Answer

1. An object dropped from rest from a height h = 19.6 m

as the object dropped from rest only the gravitaional force acts on it can be considered as free fall

using equations of motions

   S = ut +0.5 gt^2

   19.6 = 0+0.5*9.8t^2

   t = 2 s

time taken for the object to reach ground is 2 s

the conservation of energy k.e1+p.e1 = k.e2 +p.e2

           0 + mgh = 0.5*mv^2

           V^2 = 2gh
           v = sqrt(2gh)

           v = sqrt(2*9.8*19.6) = 19.6 m/s

the speed of the object just before strikes athe ground is 19.6 m/s
2

   A = 50 lbs due eaast

   B = 100 lbs due north

vector A = 50 i + 0 j

   B = 0 i + 100 j

A+B = R

   ==> R = (50+0)i + (0+100)j

   R = 50 i +100 j

   amgnitude is R = sqrt(50^2+100^2) = 11.8034 lbs

at angle theta = arc tan (100/50) = 63.435 degrees

3.A = 100 lbs due west ,

B= 200 lbs due south

A = -100 i + 0j

B = 0i -200 j

   A+B = R = (-100 i + 0j)+(0i -200 j)

       = - (100 i +200j)

   amgnitude is R = sqrt((-100)^2+(-200)^2) = 223.61 lbs

at angle theta = arc tan (200/100) = 63.435 degrees

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