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Impulse. Principles of Physics. Impulse . Forces cause acceleration Acceleration is a change in velocity with respect to time Change in velocity results in a change in momentum. F net = net force (N) m = mass (kg) ( v f – v i ) = change in velocity (m/s) t = time (s).
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Impulse Principles of Physics
Impulse • Forces cause acceleration • Acceleration is a change in velocity with respect to time • Change in velocity results in a change in momentum
Fnet = net force (N) m = mass (kg) (vf – vi) = change in velocity (m/s) t = time (s) Newton’s 2nd Law Fnet = ma Fnet = m(vf – vi) t Fnett = m(vf– vi) impulse change in (Ns) momentum (kg m/s) 1Ns = 1 kg m/s
When is impulse important?? Car crashes By increasing the time of the collision the force felt by the passengers is reduced. Airbags cushion the impact (allow impact to take longer) Ft = m(vf – vi) Why would it be better to hit a hay stack instead of a brick wall? What do catchers allow their arms to move backwards when they catch?
Example A hockey player takes a slap shot, exerting a force of 30 N on a hockey puck for 0.16 s. If the puck had a mass of 0.115 kg and started from rest, what speed does it have as it heads towards the net? Givens: F =30 N t = 0.16 s m = 0.115 kg vi = 0 Ft = m(vf – vi) (30)(0.16 ) = 0.115(vf– 0) vf= 41.8 m/s
Example Small rockets are used to make small adjustments in speed of satellites. One such rocket has a thrust of 35 N. If it is fired to change velocity of a 72,000 kg spacecraft by 0.63 m/s, how long should it be fired? Givens: F =35 N t = ? m = 72,000 kg (vf – vi)= 0.63 m/s Ft = m(vf – vi) (35)(t) = 72,000(0.63) t = 1,296 s = 21.6 min