The velocity of an object with a mass of $3 k g$ $3 kg$ is given by $v (t) = sin 8 t + cos 9 t$ $v(t)= sin 8 t + cos 9 t$ . What is the impulse applied to the object at $t = \frac{7 π}{12}$ $t= ( 7 pi)/ 12$ ?

Question

The velocity of an object with a mass of $3 k g$ $3 kg$ is given by $v (t) = sin 8 t + cos 9 t$ $v(t)= sin 8 t + cos 9 t$ . What is the impulse applied to the object at $t = \frac{7 π}{12}$ $t= ( 7 pi)/ 12$ ?

1 Answer

Impact of this question

1651 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-04T08:02:55

Impulse is defined as change in momentum,

So,here change in momentum in between $t = 0$ $t=0$ to $t = \frac{7 π}{12}$ $t=(7pi)/12$ is,

$m (v - u) = 3 {(sin (8 \cdot \frac{7 π}{12}) - sin 0 + cos (9 \cdot \frac{7 π}{12}) - cos 0} = 3 \cdot (- 0.83) = - 2.5 K g . m s^{- 1}$ $m(v-u) =3{(sin (8*(7pi)/12) - sin 0 +cos (9*(7pi)/12)-cos 0}=3*(-0.83)=-2.5 Kg.ms^-1$

Science

Math

Humanities

... and beyond

The velocity of an object with a mass of $3 k g$ $3 kg$ is given by $v (t) = sin 8 t + cos 9 t$ $v(t)= sin 8 t + cos 9 t$ . What is the impulse applied to the object at $t = \frac{7 π}{12}$ $t= ( 7 pi)/ 12$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

The velocity of an object with a mass of 3kg3 kg is given by v(t)=sin8t+cos9tv(t)= sin 8 t + cos 9 t . What is the impulse applied to the object at t=7π12t= ( 7 pi)/ 12 ?

1 Answer

Related questions

Impact of this question

The velocity of an object with a mass of $3 k g$ $3 kg$ is given by $v (t) = sin 8 t + cos 9 t$ $v(t)= sin 8 t + cos 9 t$ . What is the impulse applied to the object at $t = \frac{7 π}{12}$ $t= ( 7 pi)/ 12$ ?