An ice hockey puck slides along the ice, approaching a hockey stick at a speed of 12 m/s . The hockey stick delivers an impulse of 4 kg⋅m/s , causing the puck to move off in the opposite direction with the same speed. What is the mass of the puck?

Respuesta :

Answer:

The mass of the puck is 0.166 kg

Explanation:

It is given that,

Speed of the ice hockey puck, u = 12 m/s

Impulse delivered by the hockey stick, J = 4 kg-/s

After delivering an impulse, the puck move off in the opposite direction with the same speed, v = -12 m/s

We need to find the mass of the puck. The impulse is equal to the change in momentum i.e.

[tex]J=m(v-u)[/tex]

m is the mass of the puck

[tex]4=m(-12-12)[/tex]

[tex]4=-24\ m[/tex]

[tex]m=\dfrac{1}{6}=0.166\ kg[/tex]

So, the mass of the puck is 0.166 kg. Hence, this is the required solution.

When the mass of the puck that moves with the same speed in opposite direction is equal to 0.1667 kg.

What is impulse?

Impulse is a large force that is applied to an object for a very short period of time. It is given by the formula,

[tex]J =m(v-u) = F(\delta t)[/tex]

where v and u are the final and initial velocity, F is the force that is been applied, m is the mass of the object, t is the time for which the force is been applied.

What is the mass of the puck?

We know that the impulse can be written as,

[tex]J = m(v-u)[/tex]

Given to us

J  =  4 kg⋅m/s,

u = 12 m/s

v = -12 m/s(opposite in direction with the same speed)

Substitute the values,

[tex]4 = m(-12-12)\\\\4 = m(-24) \\\\m = -0.1666\\\\m = 0.1667 \rm\ kg[/tex]

Since the mass of the punk can not be negative, therefore, the mass of the puck is 0.1667 kg.

Hence, when the mass of the puck that moves with the same speed in opposite direction is equal to 0.1667 kg.

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