5.3 Newton's Second Law

At the time of its launch, the HMS Titanic was the most massive mobile object ever built, with a mass of $6.0 \times 10^{7} \text{kg}$. If a force of 6 MN $\left(6 \times 10^{6} \text{N}\right)$ was applied to the ship, what acceleration would it experience?

A 550-kg sports car collides with a 2200-kg truck, and during the collision, the net force on each vehicle is the force exerted by the other. If the magnitude of the truck’s acceleration is $10 \text{m}/\text{s}^{2} ,$ what is the magnitude of the sports car’s acceleration?

A rock is thrown straight up. At the top of the trajectory, the velocity is momentarily zero. Does this imply that the force acting on the object is zero? Explain your answer.

If the sprinter from the previous problem accelerates at that rate for 20.00 m and then maintains that velocity for the remainder of a 100.00-m dash, what will her time be for the race?

Astronauts in orbit are apparently weightless. This means that a clever method of measuring the mass of astronauts is needed to monitor their mass gains or losses, and adjust their diet. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of 50.0 N is exerted, and an astronaut’s acceleration is measured to be $0.893 \text{m}/\text{s}^{2}$. (a) Calcu…

What is the acceleration opposite to the motion of the rocket sled if it comes to rest in 1.10 s from a speed of 1000.0 km/h? (Such acceleration opposite to the motion caused one test subject to black out and have temporary blindness.)

A powerful motorcycle can produce an acceleration of $3.50 \text{m}/\text{s}^{2}$ while traveling at 90.0 km/h. At that speed, the forces resisting motion, including friction and air resistance, total 400.0 N. (Air resistance is analogous to air friction. It always opposes the motion of an object.) What is the magnitude of the force that motorcycle exerts backward on the ground to produce its acceleration if the mass of the…

The driver in the previous problem applies the brakes when the car is moving at 90.0 km/h, and the car comes to rest after traveling 40.0 m. What is the net force on the car during its acceleration opposite to the motion?

A particle of mass 2.0 kg is acted on by a single force $\overset{\rightarrow}{F}_{1} = 18 \hat{i} \text{N} .$ (a) What is the particle’s acceleration? (b) If the particle starts at rest, how far does it travel in the first 5.0 s?