A 996 kg car is travelling at a velocity of 15.4 m/s. How much work must be done on the car by the brakes to stop the car. Include the correct sign. Neglect friction except in the braking system.
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A 996 kg car is travelling at a velocity of 15.4 m/s. How much work must be done on the car by the brakes to stop the car. Include the correct sign. Neglect friction except in the braking system.
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- A variable force F = kx² acts on a particle which is initially at rest. Calculate the work done by the force during the displacement of the particle from x = 0 m to x = 7 m. (Assume the constant k =3 N m-2)An uncontrolled 850 kg car strikes squarely a motorway crash cushion in which the car is brought to rest by successively crushing steel barrels. The length of the crash cushion is 5.9 m, and the magnitude F of the force required to crush the barrels as a function of the distance the car has moved into the cushion is given by (image attached) a) Determine an expression for the work done by the force Fas a function of x b) If the car strikes the crash cushion with a velocity of 38km / h , determine the distance the car will move into the cushion before it comes to rest and the maximum deceleration of the car. c) Determine the maximum velocity with which the car can strike the cushion so that it will not hit the wall behind the cushion.Which do you think requires more work: moving up stairs at a slow speed (ex: walking) or moving up stairs at a fast speed (ex: running)? Explain your prediction with reference to the work equation and some past experience.
- You are biking along a country road whenyou reach the base of a bridge travelling at 5.00 m/s. At the top of the bridge you have climbed a vertical distance of 5.20 m and have slowed to 1.50 m/s. Ignore any work done by friction or any inefficiency in the bike or your legs. (a) What is the total work done on you and your bike in going from the base of the bridge to its topif the total mass of you and your bike is 80.0 kg? (b)How much work have you done with the force you apply to the pedals?5). Which requires more work, pushing a 200 kg refrigerator up a ramp into a truck, or lifting it straight up and setting it in the truck? Explain.86. Consider a particle on which several forces act, one of which is known to be constant in time: F₁ = (3N)Î + (4N)Ĵ. As a result, the particle moves first along the x-axis from x = 0 to x = 5 m and then parallel to the y-axis from y = 0 to y = 6 m. What is the work done by F?
- Suppose a 975-kg car can produce a useful power output of 45.5 hp (1 hp = 746 W). (a) How long, in seconds, will it take the car to reach a speed of 15.5 m/s, neglecting friction. (b) How long, in seconds, will this acceleration take if the car also climbs a 2.9-m high hill in the process?-40 A can of sardines is made to move along an x axis from F= exp(-4x), with x in meters and Fin newtons. (Here exp is the ex- ponential function.) How much work is done on the can by the force?A can of beans that has mass M is launched by a springpowered device from level ground. The can is launched at an angle of a0 above the horizontal and is in the air for time T before it returns to the ground. Air resistance can be neglected. (a) How much work was done on the can by the launching device? (b) How much work is done on the can if it is launched at the same angle a0 but stays in the air twice as long? How does your result compare to the answer to part (a)?