A large truck and a car, both moving with a velocity of magnitude v, have a head on collision and both of them come to a halt after that. If the collision lasts for 1 s:a Which vehicle experiences the greater force of impact?b Which vehicle experiences th (2024)

Open in App

Solution

Letthe mass of the truck be Mand that of the car be m.

Thus,M > m

Initialvelocity of both vehicles, v

Finalvelocity of both vehicles, v’= 0 (since the vehicles come to rest after collision)

Timeof impact, t= 1 s

(a)From Newton’s second law of motion, the net forceexperienced by each vehicle is given by the relation:

A large truck and a car, both moving with a velocity of magnitude v, have a head on collision and both of them come to a halt after that. If the collision lasts for 1 s:a Which vehicle experiences the greater force of impact?b Which vehicle experiences the greater change in momentum?c Which vehicle experiences the greater acceleration?dWhy is the car likely to suffer more damage than the truck? (1)

Since the mass of the truck is greater than that of the car, it willexperience a greater force of impact.

(b)Initialmomentum of the car = mv

Final momentum of the car = 0

Changein momentum = mv

Initialmomentum of the truck = Mv

Finalmomentum of the truck = 0

Changein momentum = Mv

Since the mass of the truck is greater than that of the car, it willexperience a greater change in momentum.

(c)From the first equation of motion,acceleration produced in a system is independent of the mass of thesystem. The initial velocity, the final velocity,and the time of impact remain the same in both cases. Hence, both thecar and the truck experience the same amount of acceleration.

(d)Accordingto Newton’s third law of motion, for every action there is anequal and opposite reaction that acts on different bodies. Since thetruck experiences a greater force of impact (action), this largerimpact force is also experienced by the car (reaction). Thus, the caris likely to suffer more damage than the truck.

A large truck and a car, both moving with a velocity of magnitude v, have a head on collision and both of them come to a halt after that. If the collision lasts for 1 s:a Which vehicle experiences the greater force of impact?b Which vehicle experiences th (2024)

FAQs

When a truck and car has a head on collision? ›

Short Answer. In a head-on collision between a compact car and a large truck: a. Neither vehicle experiences a greater force of impact, as both vehicles exert the same magnitude of force on each other but in opposite directions according to Newton's third law of motion.

When a small car collides with a large truck which experiences the greater impact force? ›

Expert-Verified Answer

In a collision between a small car and a large truck, the truck has a larger mass and therefore experiences a greater impact force. However, since the car has a smaller mass, it experiences a greater acceleration during the collision.

Which will have a greater momentum between a truck or a car moving with same velocity? ›

Given that a truck and a car are moving with the same velocity, the one with the greater mass will have greater momentum. Typically, a truck has a greater mass than a car. Therefore, a **truck** would have **greater momentum** than a car when both are moving with the same velocity.

When a car and a truck have the same momentum whose velocity is more? ›

The mass of the car is less than the mass of the truck, If the momentum of car and truck is the same ( P car = P truck ) then the speed of the car is greater than the speed of the truck. ( V car > V truck ) . This is because at constant momentum the mass is inversely proportional to the velocity of the object.

What is the formula for head-on collision? ›

In head on collision of two point particles,loss in kinetic energy is given by. ΔK=m1m22(m1+m2)|→u1−→u2|2(1−k2)

What type of collision is a head-on collision? ›

Head-on collisions are also commonly known as front-impact accidents or frontal crashes. These accidents occur when oncoming traffic traveling in opposite directions collides from front end to front end.

What happens when a larger object collides with a smaller object? ›

In a collision, there is a force on both objects that causes an acceleration of both objects. The forces are equal in magnitude and opposite in direction, yet the least massive object receives the greatest acceleration.

When a truck and a car traveling at the same speed collide head on the impact force? ›

On collision both the car and the truck experience equal force of impact because action and reaction forces are equal.

When a small car collides with a large car a larger force is exerted on the small car? ›

If we ignore friction and braking, Newton's third law of motion states that the force of impact is identical for both vehicles. This is true regardless of their respective masses and velocities. However, the vehicle with the smaller mass will experience the larger magnitude of acceleration/deceleration.

Does a collision between a small car and a large truck exert a greater momentum on one of the vehicles? ›

This tells us that, despite the stark differences in their sizes and masses, both vehicles undergo the same momentum change due to the collision.

What affects momentum more mass or velocity? ›

Momentum, Impulse, and the Impulse-Momentum Theorem

p = m v . You can see from the equation that momentum is directly proportional to the object's mass (m) and velocity (v). Therefore, the greater an object's mass or the greater its velocity, the greater its momentum.

Does more velocity mean more momentum? ›

Momentum is directly proportional to the object's mass and also its velocity. Thus the greater an object's mass or the greater its velocity, the greater its momentum.

What does it mean when a collision is head on? ›

A head-on collision is a full frontal collision. Two cars strike each other directly from the front, usually while going in opposite directions. A head-on collision can also occur when a vehicle drives straight into a stationary object, such as a telephone pole or road barrier.

How serious is a head-on collision? ›

The impact of a head-on collision can easily damage back muscles, as well as the discs and nerves running throughout the spinal column. Back injuries may leave accident victims with a long-term loss of mobility and disabling pain.

What to expect after a head-on collision? ›

Headaches and nausea – Headaches are common, but if they're accompanied by nausea or flu-like symptoms they can indicate the presence of a concussion or other traumatic brain injury. Abdominal pain – This can indicate internal bleeding or other soft tissue damage.

Which has the greater momentum a large truck and a small car have a head-on collision? ›

Answer and Explanation:

They both have the same Momentum change.

Top Articles
Latest Posts
Article information

Author: Annamae Dooley

Last Updated:

Views: 6472

Rating: 4.4 / 5 (65 voted)

Reviews: 88% of readers found this page helpful

Author information

Name: Annamae Dooley

Birthday: 2001-07-26

Address: 9687 Tambra Meadow, Bradleyhaven, TN 53219

Phone: +9316045904039

Job: Future Coordinator

Hobby: Archery, Couponing, Poi, Kite flying, Knitting, Rappelling, Baseball

Introduction: My name is Annamae Dooley, I am a witty, quaint, lovely, clever, rich, sparkling, powerful person who loves writing and wants to share my knowledge and understanding with you.