A body ascends a slope with a speed of 10ms^-1. If 105 J of energy of the body is lost due to friction , the height to which the body will rise is (take g =10ms^-2)?
To find the height to which the body will rise, we can use the concept of work and energy. The work done on the body will be equal to the change in its potential energy.
The work done by the body against gravity is given by the formula:
Work = Force * Distance
In this case, the force is the weight of the body, which is equal to the mass times the acceleration due to gravity (m * g). The distance moved by the body is the height it rises (h).
So, we have:
Work = m * g * h
Here, the work done against gravity is equal to the decrease in the body's kinetic energy due to friction. Therefore:
m * g * h = Loss in kinetic energy
The loss in kinetic energy is given as 105 J.
m * g * h = 105 J
Using the given value of g as 10 m/s^2 and rearranging the equation, we can solve for h:
h = 105 J / (m * g)
However, the mass of the body is not given in the question. As a result, we cannot directly calculate the height to which the body will rise without knowing the mass of the body.
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