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An elastic scooter has a bettery capable...

An elastic scooter has a bettery capable of supplying `120 Wh` of energy. If friction force and other losses account for `60.0%` of the energy usage , what altitude change can a rider achieve when driving in hilly terrain if the rider and sector have a combined weight of `900 N`?

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The correct Answer is:
192
The useful output energy is
`120Wh(1 - 0.60) = mg(y_(f) - y_(i))= (mg)Delta y `
`Deltay=(120 W (3600 s) xx 0.40)/(900N) ((J)/(W.s))((N.m)/(J))=192 m`
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Ram and Ali have been fast friends since childhood. Ali neglected studies and now has no means to earn money other than a channel whereas Ram has become an engineer. Now both are working in the same factory. Ali uses camel to transport the load within the factory. Due to low salary and degradation in health of camel, Ali becomes worried and meets his friend Ram and discusses his problems. Ram collected some data and with some assumptions concluded the following: i. The load used in each trip is 1000kg and has friction coefficient mu_k=0.1 and mu_s=0.2 . ii. Mass of camel is 500kg . iii. Load is accelerated for first 50m with constant acceleration, then it is pulled at a constant speed of 5ms^-1 for 2km and at last stopped with constant retardation in 50m . iv. From biological data, the rate of consumption of energy of camel can be expressed as P=18xx10^3v+10^4Js^-1 where P is the power and v is the velocity of the camel. After calculations on different issues, Ram suggested proper food, speed of camel, etc. to his friend. For the welfare of Ali, Ram wrote a letter to the management to increase his salary. (Assuming that the camel exerts a horizontal force on the load): The ratio of the energy consumed by the camel during uniform motion for the two cases when it moves with speed 5ms^-1 to the case when it moves with 10ms^-1

Friction is a force that aids us daily, in fact so much so that we don't even pause to appreciate its important. We would not be able to wear pants or jeans without friction. We would have to live like aborigines in the jungle. The shirt is supported at our shoulders. But if we stand up the weight of our jeans is to be supported by a verticle force. The surface of our shoulders. But if we stand up the weight of our jeans is to be supported by a vertical cylinder. The force of friction acting between this curved surface and jeans balances the weight of the jeans. To understand this mathematically, let us consider a verticle man whose waist is a rigid cylinder having a circumference of 90 cm. He wears a jeans of mass 500 gm using an elastic massless belt which can be assumed to be on elastic string of forc e constant 500N//m and circumference 85cm when not extended. The coefficient of friction between waist and jeans is 0.5 . When the man stands in an elevator going up with a high acceleration, his jeans start sliding down. What can be the minimum acceleration of the elevator?

Friction is a force that aids us daily, in fact so much so that we don't even pause to appreciate its important. We would not be able to wear pants or jeans without friction. We would have to live like aborigines in the jungle. The shirt is supported at our shoulders. But if we stand up the weight of our jeans is to be supported by a verticle force. The surface of our shoulders. But if we stand up the weight of our jeans is to be supported by a vertical cylinder. The force of friction acting between this curved surface and jeans balances the weight of the jeans. To understand this mathematically, let us consider a verticle man whose waist is a rigid cylinder having a circumference of 90 cm. He wears a jeans of mass 500 gm using an elastic massless belt which can be assumed to be on elastic string of forc e constant 500N//m and circumference 85cm when not extended. The coefficient of friction between waist and jeans is 0.5 . What is the friction force acting between the man's waist and jeans?

Friction is a force that aids us daily, in fact so much so that we don't even pause to appreciate its important. We would not be able to wear pants or jeans without friction. We would have to live like aborigines in the jungle. The shirt is supported at our shoulders. But if we stand up the weight of our jeans is to be supported by a verticle force. The surface of our shoulders. But if we stand up the weight of our jeans is to be supported by a vertical cylinder. The force of friction acting between this curved surface and jeans balances the weight of the jeans. To understand this mathematically, let us consider a verticle man whose waist is a rigid cylinder having a circumference of 90 cm. He wears a jeans of mass 500 gm using an elastic massless belt which can be assumed to be on elastic string of forc e constant 500N//m and circumference 85cm when not extended. The coefficient of friction between waist and jeans is 0.5 . What is the net normal force exerted by the jeans on the man?

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