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?

Answer 1

#m_t=1246.02" " kg#

#"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#
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Answer 2

To find the mass of the truck, we can use the principle of conservation of momentum.

Let's denote:

  • ( m_c ) as the mass of the car (1850 kg)
  • ( m_t ) as the mass of the truck (unknown)
  • ( v_{c,i} ) as the initial velocity of the car (0 m/s, since it's stationary)
  • ( v_{t,i} ) as the initial velocity of the truck (65.1 km/hr converted to m/s)
  • ( v_{f} ) as the final velocity of the combined system (26.2 km/hr converted to m/s)

By conservation of momentum:

[ m_c \cdot v_{c,i} + m_t \cdot v_{t,i} = (m_c + m_t) \cdot v_f ]

Solving for ( m_t ):

[ m_t = \frac{(m_c \cdot v_{c,i} + m_t \cdot v_{t,i})}{v_f} - m_c ]

Substitute the given values and solve for ( m_t ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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