Answer:
2.43J
Explanation:
Given parameters:
Mass of the arrow = 0.155kg
Velocity = 31.4m /s
Unknown:
Kinetic energy when it leaves the bow = ?
Solution:
The kinetic energy of a body is the energy in motion of the body;
it can be derived using the expression below:
K.E = m v²
m is the mass
v is the velocity
Solve for K.E;
K.E = x 0.155 x 31.4 = 2.43J
Answer:
hello your question is incomplete attached below is the complete question
and solution to the question
Explanation:
To write The equation of the motion in Matrix form
i)First we write the net torque equation for left mass
ii)Next we write the net torque equation for right mass
iii) represent the equation of motion in Matrix form
Answer:
14.14 m/s
Explanation:
As total mechanical energy is conserved, if the potential energy is the same at Chad's position no matter if the ball is travelling up or down, then its kinetic energy, and speed, is also the same too.
Therefore, the ball would have a speed of 10m/s when it's passing Chad the 1st time. Since we know that Chad is at 5m high from the release point, we can use the following equation of motion:
where v = 10 m/s is the velocity of the ball when it passes Chad, v_0 is the initial velocity of the ball when it releases, g = 10 m/s2 is the deceleration of the can, and is the distance traveled between Nicole and Chad. We can solve for v0:
1. 236 kJ
a. The phase (or state of matter) of the substance: from solid state to gas state (sublimation)
b. The enthalphy of sublimation, given by:
c. The equation to use will be , where m is the mass of dry ice and
is the enthalpy of sublimation
d. The energy is being absorbed, because the heat is transferred from the environment to the dry ice: as a consequence, the bonds between the molecules of dry ice break and then move faster and faster, and so the substance turns from solid into gas directly.
e. The amount of energy being transferred is
2. 165 kJ
a. The phase (or state of matter) of the substance: from gas state to liquid state (condensation)
b. The latent heat of vaporisation of water, given by
c. The equation to use will be , where m is the mass of steam that condenses and
is the latent heat of vaporisation
d. The energy is being released, since the substance turns from a gas state (where molecules move faster) into liquid state (where molecules move slower), so the internal energy of the substance has decreased, therefore heat has been released
e. The amount of energy being transferred is
3. 3.64 kJ
a. Only the temperature of the substance (which is increasing)
b. The specific heat capacity of silver, which is
c. The equation to use will be , where m is the mass of silver, Cs is the specific heat capacity and
the increase in temperature
d. The energy is being absorbed by the silver, since its temperature increases, this means that its molecules move faster so energy should be provided to the silver by the surroundings
e. The amount of energy being transferred is
4. 89 kJ
a. Both the phase of the substance (from solid to liquid) and then the temperature
b. The latent heat of fusion of ice: and the specific heat capacity of water:
c. The equation to use will be , where m is the mass of ice,
the latent heat of fusion of ice, Cs is the specific heat capacity of water and
the increase in temperature
d. The energy is being absorbed by the ice, at first to break the bonds between the molecules of ice and to cause the melting of ice, and then to increase the temperature of the water
e. The amount of energy being transferred is