To find the time at which the force on the particle becomes zero, we need to determine when the momentum of the particle, given by P = at^2 - 2bt, equals zero.

Setting P equal to zero, we have:
0 = at^2 - 2bt

Rearranging the equation, we get:
at^2 = 2bt

Dividing both sides by t, we have:
at = 2b

Now, we can solve for t by dividing both sides by a:
t = 2b/a

Therefore, the time at which the force on the particle becomes zero is t = 2b/a.

Question

To find the time at which the force on the particle becomes zero, we need to determine when the momentum of the particle, given by P = at^2 - 2bt, equals zero.

Setting P equal to zero, we have:
0 = at^2 - 2bt

Rearranging the equation, we get:
at^2 = 2bt

Dividing both sides by t, we have:
at = 2b

Now, we can solve for t by dividing both sides by a:
t = 2b/a

Therefore, the time at which the force on the particle becomes zero is t = 2b/a.

Knowee AI · Accepted Answer

To find the time at which the force on the particle becomes zero, we need to determine when the momentum of the particle, given by P = at^2 - 2bt, equals zero.

Setting P equal to zero, we have:
0 = at^2 - 2bt

Rearranging the equation, we get:
at^2 = 2bt

Dividing both sides by t, we have:
at = 2b

Now, we can solve for t by dividing both sides by a:
t = 2b/a

Therefore, the time at which the force on the particle becomes zero is t = 2b/a.

Momentum of a particle is given by P = at2 – 2bt. Find the time at which force on particle becomes zero. (a and b are constant)

Question

Momentum of a particle is given by $P = at^2 - 2bt$ . Find the time at which force on particle becomes zero.

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