Physics, 06.02.2020 02:42 plantkiana677oxa6hk

A150 g baseball pitched at a speed of 45 m/s is hit straight back to the pitcher at a speed of 60 m/s. what is the magnitude of the average force on the ball from the bat if the bat is in contact with the ball for 9.5 ms?

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Answer from: eminh5145

The average force is 1578.94 N.

Explanation:

Given that,

Mass of baseball = 150 g

Speed = 45 m/s

Speed of pitcher = 60 m/s

Time = 9.5 ms

We need to calculate the average force

Using formula of impulse

$J=\Delta p$

$J=m\Delta v$ ...(I)

$J=F\Delta t$ ....(II)

From equation (I) and (II)

$F=\dfrac{m(v_{f}-v_{i})}{\Delta t}$

Where, m = mass of baseball

$v_{f}$ = final velocity

$v_{i}$ = Initial velocity

$\Delta t$ = time

Put the value into the formula

$F=\dfrac{150\times10^{-3}\times(60-(-40))}{9.5\times10^{-3}}$

$F=1578.94\ N$

Hence, The average force is 1578.94 N.

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

80cm/s.

24cm/s.

53.3cm/s.

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A150 g baseball pitched at a speed of 45 m/s is hit straight back to the pitcher at a speed of 60 m/...