# 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?

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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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