Suppose on a zero friction track a fan is set to its low
setting, the fan cart accelerates a total
mass (cart plus load) of 3 kg from zero to 1 m/s in 6 seconds.
1. How much thrust (accelerating force) is exerted on the cart by the action of the fan?
2. Suppose that on the high setting, the fan cart with the same
load accelerates from zero to 1 m/s
in 1.5 seconds. How much thrust does the fan produce now?
Suppose on a zero friction track a fan is set to its low setting, the fan...
A zero-friction (air bearing) cart is heading downhill on a slightly inclined track. At a moment when the cart’s speed downhill is 2.15 m/s, a fan thruster on the cart is activated. The cart immediately begins to experience constant acceleration, such that is slows in its motion, stops for an instant (1.86 s after the fan is turned on), and begins to drive uphill. Analyze the motion beginning when the fan is turned on. How far does the cart travel...
A 1.0-kg standard cart collides on a low-friction track with cart A. The standard cart has an initial x component of velocity of +0.40 m/s, and cart A is initially at rest. After the collision the x component of velocity of the standard cart is +0.20 m/s and the x component of velocity of cart A is +0.65 m/s . After the collision, cart A continues to the end of the track and rebounds with its speed unchanged. Before the...
1. An 80 kg thermodynamics professor is fired from a catapult. It accelerates him for 1.5 seconds at 18 m/s a. How much energy does the catapult transfer to the professor? b. What is the average power as the catapult is accelerating him? Answer: about 20 kW. c. If we consider the professor as the system, is the work done positive or negative? l T:... a lalalalalaian alla
Suppose a 775-kg car can produce a useful power output of 48.5 hp (1 hp = 746 W). A) How long, in seconds, will it take the car to reach a speed of 12.5 m/s, neglecting friction? B) How long, in seconds, will this acceleration take if the car also climbs a 3.2-m high hill in the process?
1. A 1200 kg car is practicing on a flat test track. The car begins moving in a 100 m radius circle at a speed of 20 m/s. Viewed above, it is traveling around the circle clockwise, beginning from the top of the circle. (A) What is the centripetal acceleration of the car? (B) How much force is required for this? (C) What is the coefficient of friction between the tires and the track? Three quarters of the way around...
1) A cart for hauling ore out of a gold mine has a mass of 447 kg, including its load. The cart runs along a straight stretch of track that climbs a shallow 4.63∘ incline. A donkey, which is trudging along and to the side of the track, has the unenviable job of pulling the cart up the slope with a 436 N force for a distance of 115 m by means of a rope that is parallel to the...
#1 An engineer wants to build a track to test the acceleration of a new vehicle to 100mph and back to a complete stop. The vehicle accelerates from rest to 100mph in 5.2s, and when the brakes are engaged, its maximum deceleration is 16m/s2. (a) What is the minimum required length of the track? (b) Plot the velocity vs time of one run where the vehicle accelerates to 100mph and then immediately decelerates to a complete stop. #2. Freight trains...
A cart of mass m rolls without friction on a level
surface, and is attached to a light spring of constant k,
the other end of which is attached to a wall. Take the initial
position of the cart, where the spring is neither extended nor
compressed, to be the origin x = 0 of a coordinate system
where positive x values are to the right and positive
vectors point to the right. The cart is pushed to the left...
3
3) A heavy penguin (of mass 12 kg) and a light penguin (of mass 6 kg) are sitting peacefully on a snowy slope. The slope tilts above level ground at an angle of 10 degrees. The heavier penguin is higher up on the slope than the light one and launches itself down the slope, moving at a constant speed of 3 m/s. How fast will the two penguins be moving after the heavy one collides with the lighter one?...
Suppose a moving bobsled and its riders exit a bobsled course at a speed of 15 (m/s). The sled and its riders have a total mass of 500kg. 1. What is the sleds weight? answer in (N) 2. What is the total momentum of the sled and the riders? answer in (kgxm/s) 3. what is the kinetic energy of the sled as it exits the track? answer in (j) 4. How much work was done by the friction forces as...