A heavy goods vehicle of total mass 4.8 tonnes descends a hill with a gradient of 8 degrees from the horizontal. During this motion, the vehicle experiences a rolling resistance to its motion of 880 N. Whilst travelling at a velocity of 72 km/h, its brakes are applied, and the truck is brought uniformly to rest in a distance of 140 m. During this period of constant deceleration, it may be assumed that the rolling resistance remains constant at 880N, this being in addition to the retarding force applied by the brakes. Calculate for the vehicle whilst it is slowing down: a) The vertical height through which it descends. b) Its decrease in potential energy. c) Its initial velocity in m/s. Its decrease in kinetic energy.

A heavy goods vehicle of total mass 4.8 tonnes descends a hill with a gradient of 8 degrees from the horizontal. During this motion, the vehicle experiences a rolling resistance to its motion of 880 N. Whilst travelling at a velocity of 72 km/h, its brakes are applied, and the truck is brought uniformly to rest in a distance of 140 m. During this period of constant deceleration, it may be assumed that the rolling resistance remains constant at 880N, this being in addition to the retarding force applied by the brakes. Calculate for the vehicle whilst it is slowing down: a) The vertical height through which it descends. b) Its decrease in potential energy. c) Its initial velocity in m/s. Its decrease in kinetic energy.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Block A of 500-kg mass is subjected to a towing force F= 2000 t^2 + 3000 t N where "t" is in seconds. If the initial velocity of the block is 6 m/s, determine the velocity after 4 seconds. The block is being towed at a surface inclined at 45 degrees and the coefficient of kinetic friction between these is 0.2. Answer: 106.04 m/s Show COMPLETE STEP-BY-STEP SOLUTIONS and NECESSARY FIGURES to satisfy the answer. Thank you
A flat-bed truck weighing 7200 lb carries a 1500 lb box. As the truck starts from rest with a constant acceleration, the box slides 10 feet to the edge of the bed in the time that it takes the truck to acquire a velocity of 25 mph in a distance of 50 feet up the incline. Determine the coefficient of friction between the box and the truck bed. acx= 10.74 ft/s2 N = 1498 lb ay = 0 ft/s2. arx 13.44 ft/s2 f=575 lb 100 5 ac/x-2.697 ft/s2 Mk=0.384
The initially stationary 13-kg block is subjected to the time-varying force whose magnitude P is shown in the plot. The 35° angle remains constant. Determine the block speed at (a) t = 2.9 s and (b) t = 7.2 s. 110 13 kg 35 SH%=D0.50 H = 0.45 9.3 1,8 Answers: (a) At t = 2.9 s, v= i m/s (b) At t = 7.2 s, v= i m/s
3. The 4 kg box shown in the figure start from rest at t = 0 in which the friction is negligible. Determine the velocity at t = 1 sec when the box moved from its initial position. (m/ sec.) 9.81 N 4 kg 4. In Problem 3, determine the distance that the box moved at the given time. (m)
A heavy goods vehicle of total mass 4.8 tonnes descends a hill with a gradient of 8 degrees from the horizontal. During this motion, the vehicle experiences a rolling resistance to its motion of 880 N. Whilst travelling at a velocity of 72 km/h, its brakes are applied, and the truck is brought uniformly to rest in a distance of 140 m. During this period of constant deceleration, it may be assumed that the rolling resistance remains constant at 880N, this being in addition to the retarding force applied by the brakes. Calculate for the vehicle whilst it is slowing down: a) The vertical height through which it descends. b) Its decrease in potential energy. c) Its initial velocity in m/s. Its decrease in kinetic energy.
A block of weight 800N rests on a rough horizontal surface of coefficient of friction 0.2. It is pulled by a force of 1000N applied at an angle of 300 to the horizontal. Determine the velocity attained by the block after it has moved 30 m starting from rest. Proceed to calculate the further distance moved by the body if the pull is removed.
A 79-kg woman holds a 7-kg package as she stands within an elevator which briefly accelerates upward at a rate of 0.27g. Determine the force R which the elevator floor exerts on her feet and the lifting force L which she exerts on the package during the acceleration interval. If the elevator support cables suddenly and completely fail, what values would R and Lacquire? 7kg 0.27g 79kg Answers: While accelerating, R = i N L= i N After the cables fail, R= i N L= N
I need the answer as soon as possible
The collar of 5 kg mass shown in the figure у (т) x2 2 moves on a parabolic bar on a horizontal plane. The collar has a speed of 8 m/sec when it is at point B. Determine the friction force between B the collar and the bar if the coefficient of friction is 0.25. Formula of the parabolic bar is shown in the figure. -4 4 x (т)
Answers must be in S.I Units. A specific spring is attached to a 6.613 Ibs. smooth collar and the collar is released from rest at A, determine the speed of the collar when it reaches B. The spring has a stiffness k (stiffness coefficient) = 180 N/m and an unstretched length of 0.5 meters. To solve the problem, please neglect the size of the collar. 180 N/m 3m 2.5m
Dynamics
The 44-kg block shown in Fig. rests on a smooth plane. It is connected by a cord that passes around weightless, frictionless pulleys to a support. The 60-kg mass is attached as shown. After the system is released from rest, in what distance will the block on the plane attain a speed of 3 m/s? m= 60 kg 44 x 9.8 30