Batman is fighting superman. He throws his 5 kg fist at superman with a speed of 9 m/s. Superman stops the punch with a force of 45,000 N. How much time did it take for batman's hand to stop moving?

Respuesta :

Answer:

It took [tex]1x10^{-3}[/tex] seconds for batman's hand to stop moving.

Explanation:

Newton' s second law is defined as:

[tex]F = ma[/tex] (1)

Where m is the mass and a is the acceleration.

But it is known that the acceleration is defined as follow by the kinematic equation that corresponds to a Uniformly Accelerated Rectilinear Motion.

[tex]a = \frac{v_{2}-v_{1}}{t}[/tex] (2)

Where [tex]v_{2}[/tex] is the final velocity and [tex]v_{1}[/tex] is the initial velocity

The initial velocity of the fist will be zero ([tex]v_{1} = 0[/tex]) since it starts from a state of rest.

Then, equation 2 can be replaced in equation 1

[tex]F = m\frac{v_{2}-v_{1}}{t}[/tex]  (3)

Therefore, t can be isolated from equation 3

[tex]t = m\frac{v_{2}-v_{1}}{F}[/tex] (4)

[tex]t = (5Kg)\frac{9m/s-0m/s}{45000Kg.m/s^{2}}[/tex]

[tex]t = 1x10^{-3}s[/tex]

Hence, it took [tex]1x10^{-3}[/tex] seconds for batman's hand to stop moving.

Answer:

1 × 10^-3 s.

Explanation:

Given:

Mass = 5 kg

V = 9 m/s

Force = 45000 N

Using Newton's law,

Force = mass × acceleration

= (mass × velocity)/time

45000 = (5 × 9)/time

Time = 1 × 10^-3 s.