Each driver has mass 78 kg including the mass of the drivers the total mass of the vehicles are 800 kg for the car and 4,000 kg for the truck if the collision time is 0.11 seconds what force does the seat belt exert on each driver? (Enter the magnitude of the force.) Force on truck driver? N Force on car driver? N
Each driver has mass 78 kg including the mass of the drivers the total mass of the vehicles are 800 kg for the car and 4,000 kg for the truck if the collision time is 0.11 seconds what force does the seat belt exert on each driver? (Enter the magnitude of the force.) Force on truck driver? N Force on car driver? N
Each driver has mass 78 kg including the mass of the drivers the total mass of the vehicles are 800 kg for the car and 4,000 kg for the truck if the collision time is 0.11 seconds what force does the seat belt exert on each driver? (Enter the magnitude of the force.) Force on truck driver? N Force on car driver? N
Most of us know intuitively that a head-on collision between a large dump truck and a subcompact car, you are better off being in the truck than in the car. Why is this? Many people imagine that the collision force exerted on the car is much greater than that exerted on the truck to substantiate this view they point out that the car is crushed where the truck is only dented. This idea of unequal forces of course is false; Newton's third law tells us that both objects are acted upon by forces of the same magnitude. The truck suffers less damage because it's made of stronger metal but what about the two drivers do they experience the same forces? To answer this question suppose each vehicle is initially moving at 8.2 m/s and that they undergo a perfectly inelastic head-on collision. Each driver has mass 78 kg including the mass of the drivers the total mass of the vehicles are 800 kg for the car and 4,000 kg for the truck if the collision time is 0.11 seconds what force does the seat belt exert on each driver? (Enter the magnitude of the force.)
Force on truck driver? N
Force on car driver? N
Definition Definition Fundamental law of forces which states: “For every action, there is an equal and opposite reaction." In other words, whenever one body exerts a force on a second body, the second body exerts an oppositely directed force of equal magnitude on the first body. It is also called the “action-reaction law” and was defined by Sir Isaac Newton.
Expert Solution
Step 1
Consider that, both the car and truck are moving along the X-axis , but in opposite direction
According to the given data,
Initial velocity of the car (u1) = 8 m/s;
Initial velocity of the truck (u2) = - 8 m/s;
Mass of the car including driver is (m) =800 Kg;
Mass of the truck including driver is (M) = 4000 Kg;
Now, according to the law of conservation of linear momentum,
Here v1 and v2 are the final velocities after collision
Step 2
But in a perfectly on elastic collision, both the car and truck stick together and moves with common velocity v
i.e., v1= v2=v
Equation (1) can be re write as
Here, negative sign shows that both the cars are moving along the negative x- axis
Step 3
Now, the change in the speed of a car driver is
And the change in the speed of a truck driver is
Step by step
Solved in 6 steps with 9 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.