Exams › JEE Main › Physics

A person trying to lose weight by burning fat lifts a mass of 10 kg up to a height of 1 m 1000 times. Assume that the potential energy lost each time he lowers the mass is dissipated. How much fat will he use up considering the work done only when the weight is lifted up? Fat supplies 3.8 × 10⁷ J of energy per kg which is converted to mechanical energy with a 20% efficiency rate. Take g = 9.8 m s⁻².

1. 9.89 × 10⁻³ kg
2. 12.89 × 10⁻³ kg
3. 2.45 × 10⁻³ kg
4. 46 × 10⁻⁴ kg

Correct answer: 12.89 × 10⁻³ kg

Solution

The correct option is right because the total work done in lifting the mass is calculated using the formula for gravitational potential energy, which is then adjusted for the efficiency of energy conversion from fat. After determining the total energy required and considering the efficiency, the amount of fat needed to provide that energy is accurately calculated, resulting in 12.89 × 10⁻³ kg.

Related JEE Main Physics questions

• An inclined plane makes an angle θ with the horizontal. Its top half is frictionless, while its bottom half has friction. A body released from rest at the top just reaches the bottom and comes to rest there again. The coefficient of friction on the lower half must be
• A block slides down a rough inclined plane of length l and angle of inclination θ. If the coefficient of friction between the block and the plane is μ, what is the speed of the block when it reaches the lower end of the plane?
• A machine supplies a particle of mass m with constant power k watts. If the particle is initially at rest, what is the magnitude of the force acting on it at time t?
• A body of mass m1 moving with speed v1 collides head-on with another body of mass m2 initially at rest. If the collision is perfectly elastic and the first body’s speed after impact becomes 2v1/3, what must be the ratio m1/m2?
• Two springs P and Q are alike in all respects except that their spring constants satisfy K_P > K_Q. They are extended first through the same extension in case (a), and then by applying the same force in case (b). If the work done by the springs is W_P and W_Q, then the correct relation in cases (a) and (b), respectively, is
• A body is dropped from rest from a height of 10 m. If 25% of its energy is lost during collision with the ground, the greatest height it will reach after the first bounce is

⚔️ Practice JEE Main Physics free + battle 1v1 →