Explanation:
if two vectors are perpendicular to each other then thier dot product is equal to zero so (2i+3j+8k).(-4i+4j+ak)=0 (2)(-4) +(3)(4)+(8)(a) =0 -8+12+8a=0 4+8a=0 8a=-4


Im going to guess on this one, and say that it is chemical.
Some of the energy is converted into heat. This is the main reason why electrical material gets hot when connected to a source. Therefore, your initial energy does not equal final energy. This does not violated energy conservation law because the energy is being converted so it is never lost.
Answer:
change in temperature = (100 - 25) = 75.0°C.
change in thermal energy = mass × specific heat capacity × change in temperature.
= 0.200 × 4,180 × 75.0.
= 62,700 J (62.7kJ)
To solve this problem it is necessary to apply the concepts related to rotational kinetic energy, the definition of the moment of inertia for a sphere and the obtaining of the radius through the circumference. Mathematically kinetic energy can be given as:

Where,
I = Moment of inertia
Angular velocity
According to the information given we have that the radius is



With the radius obtained we can calculate the moment of inertia which is



Finally, from the energy equation and rearranging the expression to obtain the angular velocity we have to



Therefore the angular speed will the ball rotate is 25.95rad/s