Physics, 14.04.2020 19:27 kerstynsharp08

A 0.140 kg baseball is thrown with a velocity of 33.6 m/s. It is struck with an average force of 5000.0 N, which results in a velocity of 37.0 m/s in the opposite direction. How long were the bat and ball in contact?

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Answer from: anna2894

0.00198 secs

Explanation:

Parameters given:

Mass of baseball, m = 0.14 kg

Initial velocity of baseball, u = 33.6 m/s

Force applied to baseball, F = -5000 N

(The force is applied in an opposite direction to the initial velocity)

Final velocity, v = -37 m/s

Using the impulse-momentum theory, we have that the impulse applied to the baseball is equal to the change in momentum of the baseball:

FΔt = m(v - u)

Time interval, Δt, will be given as:

Δt = $\frac{m(v - u)}{F}$

Δt = $\frac{0.14(-37.0 - 33.6)}{-5000}$

Δt = $\frac{0.14 * -70.6}{-5000}$

Δt = $\frac{-9.884}{5000}$

Δt = 0.00198 secs

The bat and the baseball were in contact for 0.00198 secs.

Answer from: Quest

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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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A 0.140 kg baseball is thrown with a velocity of 33.6 m/s. It is struck with an average force of 500...