Momentum: 1D collisions A car has a mass of 1850kg. A truck was travelling at 65.1km/hr just before impacting the stationary car from directly behind. After the car and truck lock together, they travelled at 26.2km/hr. The mass of the truck is?

1 Answer
Jun 24, 2016

#m_t=1246.02" " kg#

Explanation:

#"Truck has a momentum before impacting"#

#P_t=m*v_t=m_t.65.1#

#"Car has not momentum before impacting"#

#P_c=m_c*v_c=1850*0=0#

#"Total momentum before impacting"#

#P_b=P_t+P_c=m_t*65.1+0=m_t*65.1#

#"Momentum after impacting:"#

#P_a=(m_t+m_c)*26.2#

#P_a=(m_t+1850)*26.2#

#P_b=P_a#

#m_t*65.1=(m_t+1850)*26.2#

#m_t*65.1=m_t*26.2+1850*26.2#

#m_t*65.1-m_t*26.2=1850*26.2#

#38.9*m_t=48470#

#m_t=48470/(38,9)#

#m_t=1246.02" " kg#