Ascience student riding on a flatcar of a train moving at a constant speed of 11.2 m/s throws a ball toward the caboose along a path that the student judges as making an initial angle of 51° to the horizontal. the teacher, who is standing on the ground nearby, observes the ball rising vertically. how high does the ball rise?

ball rise height is 19.34 m

Explanation:

given data

speed = 11.2 m/s

angle = 51°

to find out

How high does the ball rise

solution

we take here velocity vector as x and y component in horizontal and vertical direction

velocity (x) = v cos 51

velocity (y) = v sin 51

and ratio between these component is

Vy = tan51 Vx

Vy = 1.23 Vx

we consider here speed v is relative to teacher

and here no motion in x refer to teacher so V will be 0

so equation of motion

V = Vx + v = 0

Vx = -v

Vx = - 11.2 m/s

so ball thrown backward student ref is

Vref y = Vy

Vref y = 1.23 Vx

Vref y = 1.23 (-11.2)

Vref y = 13.77 m/s

and

height of ball by kinematic equation

height =

here v is 13.77 and g = 9.8

height =

height = 19.34 m

so ball rise height is 19.34 m

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

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