A 2180-kg car is slowed down uniformly from 24.6 m/s to 5.2 m/s in 3.83 s. (a)What is the magnitude of the average total force acted on the car during this time? (b)How far did the car travel during this time?
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- 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 axis2.3. A train car is sitting on a level track when a second car moves in. The second car hits the first, their hitches engage, and they move together. Both cars have equal masses of about 120 000 kg, and the second car initially has a velocity of 1.5 m/s. (a) Draw a diagram that illustrates the situation and include an arrow representing the velocity vector of the second car and a separate arrow representing ĉ, the unit vector for the coordinate system along the tracks. (b) Write vector expressions for both the velocity and momentum of the second car using at least two forms of vector notation that have been covered in class. (c) Just before the collision, what is the velocity of the center of mass of the system that includes both cars? Again, express this as a vector. (d) Just before the collision, what is the total kinetic energy of the system that includes both cars?(a) Find the speed at which Superman (mass=90.0 kg) must fly into a train (mass = 17485 kg) traveling at 65.0 km/hr to stop it. Running into the train at that speed would severely damage both train and passengers. (b) Calculate the minimum time Superman must take to stop the train if the passengers experience an average horizontal force of 0.410 their own weight. (c) How far does the train then travel while being slowed to a stop?
- After falling from rest from a height of 28 m, a 0.35-kg ball rebounds upward, reaching a height of 18 m. If the contact between ball and ground lasted 2.5 ms, what average force was exerted on the ball? ( enter the magnitude)After falling from rest from a height of 25 m, a 0.30-kg ball rebounds upward, reaching a height of 15 m. If the contact between ball and ground lasted 2.1 ms, what average force was exerted on the ball? (Enter the magnitude.)A 547g squirrel with a frontal surface area of 0.0145m2 falls to the ground from a 5.3m tree. Assume the density of air is 1.21kg/m3. Neglecting the drag force, what is the velocity, in meters per second, of a 56kg person after falling, from rest, by that same distance?
- Lionel Messi scores a last second goal and, in celebration, runs as fast as he can, drops to his knees and slides along the wet grass of the field. Messi has been clocked (this is true) at a top speed of 9 meters per second in a game. Let's take this as his maximum velocity and the speed he is moving right before he drops down to slide.Take Messi's mass to be 72 kilograms, and take the coefficient of kinetic friction between skin and wet grass to be 0.4How far does Messi slide?A freight train consists of two 8.00×104 kg5.60×104 kg engines and 45 cars with average masses of 5.50×104 kg5.50×104 kg. (a) What force must each engine exert backward on the track to accelerate the train at a rate of 4.00×10−2 m/s if the force of friction is 6.20×105 N, assuming the engines exert identical forces? This is not a large frictional force for such a massive system. Rolling friction for trains is small, and consequently trains are very energy-efficient transportation systems. (b) What is the force in the coupling between the 37th and 38th cars (this is the force each exerts on the other), assuming all cars have the same mass and that friction is evenly distributed among all of the cars and engines?A dated box of dates, of mass 7.1 kg, is sent sliding up a frictionless ramp at an angle of 0 to the horizontal. The figure here gives, as a function of time t, the component Vy of the box's velocity along an x axis that extends directly up the ramp. What is the magnitude of the normal force on the box from the ramp? v, (m/s) 2 t (s) -2 Number T66.24 Unit N the tolerance is +/-2%- Click if you would like to Show Work for this question: Open Show Work 11:55 PM A ENG o search 4/4/2021 ASUS pause break insert delete |home prt sc 13) 2#3 backs 9. E R 近 3.