Answer:
the expression is ΔT = v²/(4*c)
Explanation:
the kinetic energy K of the bullet is given by
K=1/2*m*v²
where m= mass , v= velocity
the heat Q absorbed by the bullet is given by
Q = m * c * ( T final - T initial ) , where c= specific heat of lead, T initial = initial temperature, T final = final temperature
then
thermal energy = kinetic energy converted into thermal energy
Q = K - 1/2* K = 1/2*K
replacing values
m * c * ( T final - T initial ) = 1/2* 1/2*m*v² = 1/4*m*v²
the increase in temperature ΔT = ( T final - T initial ) , then
ΔT = ( T final - T initial ) = 1/4*m*v² /(m * c ) = v²/(4*c)
ΔT = v²/(4*c)
Answer:
Their change in momentum is the same in magnitude and opposite in direction
Explanation:
The momentum of an object is defined as:
where
m is the mass of the object
v is the velocity of the object
Therefore, the change in momentum of an object is
where is the change in velocity.
During a collision, the force experienced by an object is equal to the rate of change of momentum:
where is the duration of the collision.
According to Newton's third law of motion, the force exerted by vehicle 1 on vehicle 2 during the collision is equal (and opposite) to the force exerted by vehicle 2 on vehicle 1, so
Which means
And since the duration of the collision is the same for the two vehicles, this becomes
For this question, we use the Coulumb's law to calculate the force on each particles. In this law, force between point charges are said to be proportional to product of each charge and is indirectly proportional to the distance of both charges. We do as follows:
F= kq(1)q(2)/d^2
= (9x10^9).(1.41 x 10^-5 C).(-<span>1.41 x 10^-5 C</span><span>)/.44^2
</span> = 4.067 N
Answer:
The reason is similar to the reason why it is difficult to roll an object on a surface with a positive incline than rolling it on the ground
The more the path becomes vertical, the more force we have to apply to oppose the force of gravity
but when we are moving horizontally, we don't have to move against the gravity and hence, it is less difficult than going vertically upwards
Answer:
increase, GPE, KE, KE, KE, PE, PE, KE, KE,
Explanation: