Physics, 05.10.2019 04:30 daedae11142

Asmall racquet ball launcher is set up 5 meters from a 12 meter tall wall. it launches a racket ball at 30 m/s at an angle of 45 degrees. determine where the racket ball lands relative to the wall if there is no air resistance and the racquet ball has perfect restitution with the wall.

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Answer from: theo39

20.82 m

Explanation:

Given

distance between wall and launcher=5 m

initial velocity=30 m/s

Launching angle $=45^{\circ}$

Height of wall=12 m

maximum height by ball

$h_{max}=\frac{u^2sin^2\theta }{2g}$

$h_{max}=\frac{30^2sin^{2}45}{2\times 9.8}$

h=22.95 m

$y=xtan\theta -\frac{gx^2}{2u^2cos^\theta }$

y=4.72 m

so ball will strike with wall

and for perfect restitution final velocity of ball will be same as the horizontal velocity before its impact, only direction will be opposite and vertical velocity will be zero

thus it seems as if someone throw the ball with horizontal velocity of 30cos45 from a height of 4.72

Time required to cover 4.72 m

$t=\sqrt{\frac{2h}{g}}$

$t=\sqrt{\frac{9.45}{9.8}}$

t=0.981 s

Horizontal distance traveled in this time

$R=ucos45\times t$

$R=30\times cos45\times 0.981$

R=20.82 m

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

Answer from: Quest

answer a fan shaped mass of sediment deposited at the base of a mountain front do to an abrupt change in stream gradient;

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Asmall racquet ball launcher is set up 5 meters from a 12 meter tall wall. it launches a racket ball...

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