Physics, 10.10.2020 16:01 victoriakraus1482

You are out on an early morning jog when you see a family of squirrels in a tree that lies directly in your path. A squirrel on a branch 20 m high in the tree drops an acorn directly above your head as you run with speed 1.5 m/s beneath the squirrel's position. How far behind you does the acorn hit the ground?

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Answer from: ndnsnsnsmns

The acorn hit the ground 3 m far away from me.

Explanation:

Here ,

time taken by the acorn to fall be 't',

Height of the tree is 20m ,

so S= 20m

Acceleration due to gravity is - $a=9.8\frac{m}{s^2}\approx 10 \frac{m}{s^2}$

Initial velocity is 0 ,so u=0

According to the second equation of motion ,

$s=ut+\frac{1}{2} at^2$

$20=\frac{1}{2} \times10\times t^2$

t^2=4

t=2 sec.

Distance travelled by you in 2 sec

$\text{Distance} = \text{Speed} \times \text{Time}$

Put speed= 1.5m/s² and time = 2sec

$Distance= 1.5 \times 2\\Distance=3m$

Hence , the acorn hit the ground 3m far away from me.

Answer from: Quest

explanation:

v=uf/(u-f)

= 5.10/(5-10) convex lens has positive focal length

=50/-5

=-10 cm (formed at other side)

An object is located 5.0 cm from a convex lens. the lens focuses light at a distance of 10.0 cm. wha

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.

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