The body asends a slope with speed 10m/s.If 105J of energy of body is lost doe to friction ;the height to which the body will rise is?
Ans4.5m
To find the height to which the body will rise, you can use the principle of conservation of energy. The initial kinetic energy of the body will be equal to the potential energy gained when it reaches a certain height.
1. Start by finding the initial kinetic energy (KE) of the body using the formula:
KE = 0.5 * m * v^2
Where:
KE = initial kinetic energy
m = mass of the body
v = speed of the body
In this case, the speed given is 10 m/s. However, the mass of the body is not mentioned, so we cannot calculate the exact value. Let's assume the mass is 1 kg for simplicity.
KE = 0.5 * 1 kg * (10 m/s)^2
= 0.5 * 1 kg * 100 m^2/s^2
= 50 J
2. Next, determine the energy lost due to friction, which is given as 105 J.
3. Since energy is conserved, the initial kinetic energy minus the energy lost due to friction is equal to the potential energy gained:
PE = KE - Energy Lost
PE = 50 J - 105 J
= -55 J (Negative value due to energy lost)
4. As the potential energy gained is negative, it indicates that the body will not rise. Instead, it will descend. Therefore, there is no height to which the body will rise in this scenario.
It seems there may be an error in the answer provided. Please double-check the information given or provide more details if available.
Ke = (1/2) m (10)^2 = 50 m Joules
mgh = 50 m - 105
h = 50/g -105/m
obviously you have a typo but you should be able to figure it out from there.