A hockey puck goes from 0 to 108 mph in 1/10 seconds. The acceleration is uniform. The puck has mass of 160g. (a) what is the magnitude of its acceleration? (b) what is the force on it? (c) How far did it travel in the 1/10 of a second?
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- A freight train has a mass of 1.5 × 107 kg. If the locomotive can exert a constant pull of 7.5 × 105 N, how long does it take to increase the speed of the train from rest to 80 km/h?A stack of two crates is being accelerated upwards by two cables. The cables are directly attached to crate 1 and the tension in each cable is 3248 N. You may assume that the masses of the cables are negligible compared to the masses of the crates. The acceleration of the crates is? bottom crate crate 1 is 109 kg. the top crate is 248 kg.A 58 kg person is parachuting and experiencing a downward acceleration of 2.8 m/s2. The mass of the parachute is 3.1 kg. (a) What is the upward force on the open parachute from the air? (b) What is the magnitude of the downward force on the parachute from the person?
- A box of mass 15.7 kg slides down an inclined plane without friction. If the acceleration, a, of the box along the direction of the plane is 4.1 m/s2, what is the angle θ (in degrees) of the plane with respect to the horizontal?A 2140 kg car traveling to the west at 17.1 m/s slows down uniformly. How long would it take the car to come to a stop if the force on the car is 8560 N to the east? Let East be positive.Answer in units of s. What is the car’s displacement during the time it takes to stop?Answer in units of m.On aircraft carriers, catapults are used to accelerate jet aircraft to flight speeds in a short distance. One such catapult takes a 18,100-kg jet from 0 to 68 m/s in 2.7 s. (Assume the catapult acts in the positive horizontal direction. Indicate the direction with the sign of your answer where appropriate.) (a) What is the acceleration of the jet in m/s2? m/s2What is the acceleration of the jet in g's? g(b) How far does the jet travel while it is accelerating? m(c) How large is the force that the catapult must exert on the jet? N
- Suppose that your mass is 49 kg, and you are standing on a scale fastened to the floor of an elevator. The scale measures force and is calibrated in newtons. What does the scale read (in units of Newtons) when the elevator is descending with downward acceleration of magnitude 1.9 m/s2? Take g=9.8 m/s2.A 9.0 kg object experiences an acceleration of 3.4 m/s2. (a)What is the magnitude of the resultant force acting on it (in N)? (b)If this same force is applied to a 5.4 kg object, what is the magnitude of the acceleration (in m/s2)?A rocket sled has a mass of 2.71x103 kg and experiences an acceleration magnitude of 154m/s2.What is the magnitude of the net force on the rocket sled?
- A car has a mass of 1.30 × 103 kg. If the force acting on the car is 6.49 × 103 N to the east, what is the car’s acceleration? Answer in units of m/s 2 .A car weighing 2.5 metric tons and traveling at 90 km/h hits a 500 m long stretch of black ice. Unfortunately, due to skidding, neither accelerating nor braking has any effect on the speed! The driver manages to maintain steady straight direction of motion and the only impact is provided by the ice friction force, which is numerically equal to 4v² Newtons, where the velocity v of the car is measured in m/sec. (a) Using Newton's Second Law F = ma, set up a mathematical model for the position x(t) and velocity v(t) of the car as functions of time t. Start by drawing a diagram and choosing a consistent system of units based on kg, m, sec (1 ton = 1000 kg, 1 m/sec = 3.6 km/h, 1 N = 1 kg · m/sec²). Introduce and label the variables, show the units and write down the differential equations and the intial conditions. (b) Use the model in part a to calculate v(t) and x(t). Fully show the process of solving the initial value problems. (c) Based on your work so far, how long will it take to pass…A 9 kg fish hangs from a fishing line. The fish is lowered, such that the tension in the line is 60% of what the tension would be at rest. What is the magnitude of the acceleration of the fish? Answer to 3 sig figs.