A truck of mass Mt is moving at Vt towards the East collides with a stationary...

Question

Question

A truck of mass Mt is moving at Vt towards the East collides with a stationary car of mass Mc, and the two merge.

Derive an expression for the final velocity of the car-truck system.

science physics

Answer 1

Answer #1

Initial momentum of the truck = M_tV_t

initial momentum of the car = 0

Total momentum of the Car + truck before collision = M_t V_t

After the collision they move together

Final velocity of the combined system = V_f

final momentum = (M_t + M_c) V_f

During the collision momentum is conserved

M_t V_t = (M_t + M_c) V_f

Final velocity V_f = M_t V_t / (M_t + M_c)

Answer 2

Similar Homework Help Questions

A blue car with mass mc = 481 kg is moving east with a speed of...

A blue car with mass mc = 481 kg is moving east with a speed of vc = 23 m/s and collides with a purple truck with mass mt = 1289 kg that is moving south with a speed of vt = 10 m/s . The two collide and lock together after the collision. *What is the magnitude of the initial momentum of the car? *What is the magnitude of the initial momentum of the truck? *What is the magnitude...
A car of mass m 2000.0kg is moving at speed vi25.0 m/s towards East. A truck...

A car of mass m 2000.0kg is moving at speed vi25.0 m/s towards East. A truck of mass m2 6000.0kg is moving at speed v2i-10.0m/s towards North. They collide at an m1- intersection and get entangled (complete inelastic collision). 1. What is the magnitude and direction of the final velocity of the entangled automobiles? 2. How much kinetic energy is lost in the collision. That is, calculate the change in the kinetic energy of the system
A truck with a mass of 2300kg is moving north at 50km/hr when it collides with...

A truck with a mass of 2300kg is moving north at 50km/hr when it collides with a car of mass 1100kg moving east at 75km/hr. Assuming a perfectly inelastic collision, find the speed and angle (relative to east) of the wreckage.

car of mass 2000 kg and speed 20 m/s moving towards a junction from the south...

car of mass 2000 kg and speed 20 m/s moving towards a junction from the south and collides with a bigger vehicle that moves at 20 m/s moving east. The two vehicles stick together and move q=10 degrees north of east. What was the mass of the vehicle moving north? How much energy was released as waste? t t y TQ Truck བད -X Px After | Car Before
HELP ASAP 1500kg car moving at 16 m/s suddenly collides with a stationary car of mass...

HELP ASAP 1500kg car moving at 16 m/s suddenly collides with a stationary car of mass 1000 kg Problem3 1500-kg car moving at 16.00 m/s suddenly collides with a stationary car of mass 1000 kg a) What is the total initial momentum? b) If the two vehicles lock together, what is their combined velocity immediately after the collision? c)What is change in momentum? d)What is the impulse? e) What is the average force acting on the stationary car by the...
Ball A with a mass of 50 kg moving 10 m/s east collides with Ball B...

Ball A with a mass of 50 kg moving 10 m/s east collides with Ball B (a stationary 25 kg ball). What would be the resulting velocity after impact if Ball A and Ball B were to stick together?

A 2.0 kg ball moving east with a velocity of 5.0 m/s collides with a 8.0...

A 2.0 kg ball moving east with a velocity of 5.0 m/s collides with a 8.0 kg ball moving west with velocity 2.0 m/s. After collision, the ball of mass 2.0 kg moves with a velocity of 2.0 m/s towards east, what is the velocity of the second ball?
A 1425 kg truck driving at 13.0 m/s collides elastically with a stationary 1175 kg car....

A 1425 kg truck driving at 13.0 m/s collides elastically with a stationary 1175 kg car. If the car is traveling 14.25 m/s just after the collision, what is the velocity of the truck immediately after the collision? Assume that this is a perfectly elastic collision. Round your answer to the hundredths place. Final velocity of the truck = m/s
A truck of mass 9M is moving at a speed v = 15 km/h when it...

A truck of mass 9M is moving at a speed v = 15 km/h when it collides head-on with a parked car of mass M. Spring mounted bumpers ensure that the collision is essentially elastic. Find the final velocities of each vehicle. Repeat for the case of the car moving at speed v= 15km/h and colliding with the stationary truck. What fraction of the incident vehicle’s kinetic energy is transferred in each case?

15. A car of mass m moving at a speed v, collides and couples with the...

15. A car of mass m moving at a speed v, collides and couples with the back of a truck of mass 2m moving initially in the same direction as the car at a lower speed v. (a) What is the speed v, of the two vehicles immediately after the collision? (b) What is the change in kinetic energy of the car-truck system in the collision?