Question

In: Physics

The CM of an empty 1000-kg car is 2.45 m behind the front of the car....

The CM of an empty 1000-kg car is 2.45 m behind the front of the car. How far from the front of the car will the CM be when two people sit in the front seat 2.70 m from the front of the car, and three people sit in the back seat 3.80 m from the front? Assume that each person has a mass of 70.5 kg .

Expert Solution

Let,

: be the position of the center of mass of the car.
: be the position of sum of the masses of two people sit in front of seat.
: be the position of sum of the masses of three people sit in back seat.
: be the mass of the car.
: be the sum of the masses of the two people sit in front of seat.
: be the sum of the masses of the three people sit in back of seat.

Given:-

Since each person has mass of 70.5kg, we can write,

When two people sit in front of the seat and three people sit in back of seat, then the center of mass of the system is given by,

This is the center of mass of the car from the front of the car.

genius_generous answered 1 year ago

Problem: Car 1 (1000 kg) is traveling east at 8.0 m/s. Car 2 (2500 kg) is...

Problem: Car 1 (1000 kg) is traveling east at 8.0 m/s. Car 2 (2500 kg) is traveling west at 4.5 m/s. These two cars have a head-on collision. Car 2 recoils at 2.0 m/s. a) what is given/known? b) What is the linear momentum of Car 1 BEFORE the collision? c) What is the linear momentum of Car 2 BEFORE the collision? d) What is the linear momentum of the system ( car 1 and car 2) BEFORE the collision:...

A car with a mass of 1000 kg and a speed of v1 = 20.0 m/s...

A car with a mass of 1000 kg and a speed of v1 = 20.0 m/s approaches an intersection, as shown in the figure(Figure 1). A 1230 kg minivan traveling at v2 is heading for the same intersection. The car and minivan collide and stick together. The direction of the wreckage after the collision is θ = 44.0 ∘ above the x-axis. You may want to review(Pages 272 - 277). Part A: Find the initial speed of the minivan, assuming...

A 1000-kg car rounds a curve on a flat road of radius 50 m at a...

A 1000-kg car rounds a curve on a flat road of radius 50 m at a speed of 50 km/h (14 m/s). Will the car follow the curve, or will it skid? Assume (a) the pavement is dry and s = 0.60; (b) the pavement is icy and s = 0.25

(c7p50) A 1000- kg car collides with a 1300- kg car that was initially at rest...

(c7p50) A 1000- kg car collides with a 1300- kg car that was initially at rest at the origin of an x-y coordinate system. After the collision, the lighter car moves at 25.0 km/h in a direction of 25 o with respect to the positive x axis. The heavier car moves at 28 km/h at -50 o with respect to the positive x axis. What was the initial speed of the lighter car (in km/h)? Also, What was the initial...

A green car with a mass 1000 kg is traveling east at 40 m/s. Simultaneously, a...

A green car with a mass 1000 kg is traveling east at 40 m/s. Simultaneously, a yellow car with 1500 kg is traveling north at 30 m/s. They collide in a perfectly inelastic collision such that there is no rotation. A)during the collision which car experiences a greater force? Why? B) what is the momentum of each car before the collision? C) what is the magnitude of the momentum of the two combined cars after the collision? D)what is the...

A 1000. kg remote-controlled stunt car traveling at 17.0 m/s north collides with a 900. kg...

A 1000. kg remote-controlled stunt car traveling at 17.0 m/s north collides with a 900. kg remote-controlled stunt car traveling at 18.0 m/s east. What is the speed of the entangled cars immediately after the collision? 7.2 m/s 7.7 m/s 10.2 m/s 12.4 m/s

A 1000 kg car traveling 60° south from east at 30 m/s collides with a 3000...

A 1000 kg car traveling 60° south from east at 30 m/s collides with a 3000 kg truck traveling north at 20 m/s. The cars stick together after the collision. a) Is the momentum of the tr uck conserved before and after the collision? Why? b) Is the momentum of the car and tr uck together conserved before and after the collision? Why? c) Draw the velocity vector for the car before collision and write down the x and y...

A 2290 kg car traveling at 11.7 m/s collides with a 2620 kg car that is...

A 2290 kg car traveling at 11.7 m/s collides with a 2620 kg car that is initially at rest at the stoplight. The cars stick together and move 3.30 m before friction causes them to stop. Determine the coefficient of kinetic friction betwen the cars and the road, assuming that the negative acceleration is constant and that all wheels on both cars lock at the time of impact.

A 1700 kg car moving east at 17 m/s collides with a 1800 kg car moving...

A 1700 kg car moving east at 17 m/s collides with a 1800 kg car moving south at 20 m/s, and the two cars stick together. Consider east the positive x-direction and north the positive y-direction. a) What is the x-component of the initial momentum before the collision? ( -7100 kg·m/s, 64900 kg·m/s or 28900 kg·m/s) b) What is the y-component of the initial momentum before the collision? (-36000 kg·m/s, -7100 kg·m/s, 64900 kg·m/s or 36000 kg·m/s) c) What is...

A car travelling at 3.0 m/s drives into an empty parking space. At the same instant,...

A car travelling at 3.0 m/s drives into an empty parking space. At the same instant, a truck that has an inertia 50% greater than the car’s is using the same parking space to take a shortcut through the parking lot. Both vehicles are coasting (zero acceleration conveniently), and just before they hit head-on, the truck is moving at 4.0 m/s. During the collision 75% of the initial KE of the car-truck system is converted to internal energy. There are...