In the amusement park ride known as Magic Mountain Superman, powerful magnets accelerate a car and its riders from rest to 45m/s (about 100mi/h) in a time of 7.0s. The combined mass of the car and riders is 5.5×103kg. Find the average net force exerted on the car and riders by the magnets.

A net force is applied in the positive directions to an object moving in one dimension. The graph of the force is below. The mass the object is 2.00kg . If the initial velocity of the object is m -1.00- what is the velocity of the object after this force is applied? S 4 1 2 3 4 time (s) force (N)

The nucleus of 8Be, which consists of 4 protons and 4 neutrons, is very unstable and spontaneously breaks into two alpha particles (helium nuclei, each consisting of 2 protons and 2 neutrons). (a) What is the force between the two alpha particles when they are 5.00 x 10-15 m apart, and (b) what is the initial magnitude of the acceleration of the alpha particles due to this force? Note that the mass of an alpha particle is 4.0026 u.

Two forces F1 = (55.6i - 26.83j) N and F2 = (27.41i - 80.52j) N are exerted on a particle. The particle's mass is 10.14 kg. (a) Find the particle's acceleration in component form (express your answer in vector form). (b) what are the magnitude (m/s2) and direction of the acceleration (counterclockwise from the +x axis). Use four decimal places.

A frog with some sort of little monster on his back is swimming in a bathtub of split tomato soup. The frog's mass is m1 = 0.0280 kg, and the monster's mass is m2 = 0.0300 kg. The frog propels the monster and himself forward with a constant force of F = 0.440 N and accelerates at a constant rate of a = 2.65 m/s^2.  a) What is the resistive force of the split tomato soup on the frog? b) If the frog starts at rest at one side of the bathtub and swims across its length in t = 1.91 s, how long is the bathtub? c) How much work is done by the split tomato soup on the frog?

A loaded tractor-trailer with a total mass of 5500 kg traveling at 2.5 km/h hits a loading dock and comes to a stop in 0.56 s . What is the magnitude of the average force exerted on the truck by the dock?

On 24 November 2021 the DART (Double Asteroid Redirection Test) spacecraft was launched. Its mission is to assess the ability of an impact to deflect the path of an asteroid. DART was launched on a Falcon 9 rocket. At launch a Falcon rocket has a mass of 555 000 kg and generates a force of 7.6 x 106 N. A. Neglecting the effect of gravity, what is the initial acceleration of the rocket? Give your answer to an appropriate number of significant figures. B. Assuming that the initial acceleration remains constant, how fast will the rocket be moving after 2 seconds? C. In practice, as the rocket burns fuel, its mass decreases. Assuming the thrust remains the same, how would your answer to part (ii) change? Would the speed after 2 seconds be lower, the same or higher?

A person catches a ball with a mass of 145 g dropped from a height of 60.0 m above his glove. His hand stops the ball in 0.0100 s. What is the force exerted by his glove on the ball? Assume the ball slows down with constant acceleration.

A flea jumps by exerting a force of 1.02 x 10-5 N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 1.16 × 10-6 N on the flea. Find the direction and magnitude (in m/s²) of the acceleration of the flea if its mass is 6.0 × 107 kg. (Let us assume that F points to the right. We will consider this to be the +x direction and vertical to be the +y wind direction.) magnitude 17.1 Did you draw a free-body diagram, and identify the forces acting on the flea? Consider the forces acting on the flea during the time it is in contact with the ground. m/s² direction 6.49 Review vector components. In which of the four quadrants is the resultant force located?° (measured clockwise from the vertical) Tutorial Supporting Materials Physical Constants Submit Answer

Two forces É, = (81.24i – 26.83j) N and É, = (27.41i - 80.52j) N are exerted on a particle. The particle's mass is 23.21 kg. (a) Find the particle's acceleration in component form. (Express your answer in vector form.) a = m/s? (b) What are the magnitude and direction of the acceleration? magnitude |m/s2 direction counterclockwise from the +x axis