A truck collides with a car, and during the collision, the net force on each vehicle is essentially the force exerted by the other. Suppose the mass of the car is $550 \mathrm{~kg}$, the mass of the truck is $2200 \mathrm{~kg}$, and the magnitude of the truck's acceleration is $10 \mathrm{~m} / \mathrm{s}^2$. Find the magnitude of the car's acceleration.

A 63.0-kg sprinter starts a race with an acceleration of $4.20\ \mathrm{m} / \mathrm{s}^{2}.$ What is the net external force on him?

The rocket sled shown below decelerates at a rate of $196 \mathrm{~m} / \mathrm{s}^2$. What force is necessary to produce this deceleration? Assume that the rockets are off. The mass of the system is $2.10 \times 10^3 \mathrm{~kg}$.

A marble rolls off a tabletop 1.0 m high and hits the floor at a point 3.0 m away from the table's edge in the horizontal direction. (a) How long is the marble in the air? (b) What is the speed of the marble when it leaves the table's edge? (c) What is its speed when it hits the floor?

A body of mass 2.00 kg is pushed straight upward by a 25.0 N vertical force. What is its acceleration?

A cleaner pushes a 4.50-kg laundry cart in such a way that the net external force on it is 60.0 N. Calculate the magnitude of his cart's acceleration.

Two teenagers are pulling on ropes attached to a tree. The angle between the ropes is 30.0°. David pulls with a force of 400.0 N and Stephanie pulls with a force of 300.0 N. (a) Find the component form of the net force. (b) Find the magnitude of the resultant (net) force on the tree and the angle it makes with David's rope.

A car weighing 12,500 N starts from rest and accelerates to 83.0 km/h in 5.00 s. The friction force is 1350 N. Find the applied force produced by the engine.

Fish are hung on a spring scale to determine their mass. (a) What is the force constant of the spring in such a scale if the spring stretches 8.00 cm for a 10.0 kg load? (b) What is the mass of a fish that stretches the spring 5.50 cm? (c) How far apart are the half-kilogram marks on the scale?

A 2.0-kg block is on a perfectly smooth ramp that makes an angle of 30° with the horizontal. (a) What is the block's acceleration down the ramp and the force of the ramp on the block? (b) What force applied upward along and parallel to the ramp would allow the block to move with constant velocity?

The driver in the previous problem applies the brakes when the car is moving at $90.0 \mathrm{~km} / \mathrm{h}$, and the car comes to rest after traveling $40.0 \mathrm{~m}$. What is the net force on the car during its deceleration?

A car with a mass of 1000.0 kg accelerates from 0 to 90.0 km/h in 10.0 s. (a) What is its acceleration? (b) What is the net force on the car?

A fireworks shell is accelerated from rest to a velocity of 65.0 m/s over a distance of 0.250 m. (a) How long did the acceleration last? (b) Calculate the acceleration.

A fireworks shell is accelerated from rest to a velocity of 65.0 m/s over a distance of 0.250 m. (a) Calculate the acceleration. (b) How long did the acceleration last?