1) a force of 10 N acts on a 5.0 kg object, initially at rest, for 2.5 s. What is the final speed of the object?

2) a 1500 kh car, is allowed to coast along a level track at a speed of 8.0 m/s. It collides and couples with a 2000-kg truck , initially at rest with brakes released. What is the speed of the two vehicles after they collide?

3) a 0.060 tennis ball, initially moving at a speed of 12 m/s, is struck, which causes it to rebound in the opposite direction at a speed of 18 m/s. What is the change in momentum of the ball?

4) a 0.35 jk mud ball is dropped from a height of 2.5 m above a floor. When it hits the floor, the mud ball comes to rest in 0.30 s. What is the magnitude if the average force on the mud ball by the floor?

To solve these questions, we'll need to use various formulas from physics. Let's go through each question step by step.

1) To find the final speed of an object, we can use the equation:

final speed = initial speed + (acceleration x time)

In this case, the initial speed is 0 m/s since the object is initially at rest. The force acting on the object is given as 10 N. To find the acceleration, we can use Newton's second law of motion:

force = mass x acceleration => acceleration = force / mass

So, the acceleration is 10 N / 5.0 kg = 2 m/s^2.

Plugging this acceleration and a time of 2.5 s into the equation, we can find the final speed of the object.

2) To find the speed of the two vehicles after they collide, we can use the principle of conservation of momentum. The total momentum before the collision is equal to the total momentum after the collision. Mathematically, it can be expressed as:

(mass of car x initial velocity of car) + (mass of truck x initial velocity of truck) = (mass of car + mass of truck) x final velocity after collision

In this case, the initial velocity of the car is 8 m/s, and the initial velocity of the truck is 0 m/s since it is at rest. The masses of the car and the truck are given as 1500 kg and 2000 kg, respectively. We need to find the final velocity after the collision.

3) The change in momentum of an object can be calculated by subtracting the initial momentum from the final momentum. Mathematically, it can be expressed as:

change in momentum = final momentum - initial momentum

Momentum is defined as the product of mass and velocity: momentum = mass x velocity

In this case, the initial mass of the tennis ball is 0.060 kg, and its initial speed is 12 m/s. After being struck, the ball rebounds in the opposite direction with a speed of 18 m/s. We need to find the change in momentum of the ball.

4) The magnitude of average force acting on an object can be found using Newton's second law of motion:

force = mass x acceleration

In this case, the mass of the mud ball is given as 0.35 kg. To find the acceleration, we can use the kinematic equation:

final velocity^2 = initial velocity^2 + 2 x acceleration x distance

Since the mud ball comes to rest, the final velocity is 0 m/s. The initial velocity is not given, but we can find it using the equation:

initial velocity^2 = final velocity^2 - 2 x acceleration x distance

In this case, the distance the mud ball falls is 2.5 m and the time it takes to come to rest is given as 0.30 s. By rearranging the equation, we can determine the initial velocity. Then, by applying Newton's second law, we can find the magnitude of the average force on the mud ball by the floor.

Hmm. Four momentum problems; no effort or thought shown.

Someone will be glad to critique your work.