Let us assume that the initial direction of the ball, i.e., from the pitching machine to the batter as the negative direction, and the final direction of the ball is the positive direction.
Given,
The mass of the baseball, m=0.148 kg
The initial velocity of the baseball, u=-26 m/s
The final velocity of the baseball, v=39 m/s
The momentum of the ball before the batter hits it is given by,
On substituting the known values,
The momentum of the ball after the batter hits it is given by,
On substituting the known values,
The change in the momentum is given by,
On substituting the known values,
Thus the change in the momentum of baseball is 9.62 kg·m/s
Answer:
K=24.17 x 10⁻² J s⁻¹c⁻¹m⁻¹
Explanation:
Rate of flow of heat through a material is given by the following expression
where Q is amount of heat flowing in time t through area A and a medium of thickness d having two faces at temperature difference δT . K is thermal conductivity of the medium .
Here Q = 3.34 x 10⁶/6 , t = 24 x 60 x 60 = 86400 s , A = .332 X .332 = .0110224 m² , δT = 104.7
Put these values here
K=24.17 x 10⁻² J s⁻¹c⁻¹m⁻¹
Answer:
Surely Achilles will catch the Tortoise, in 400 seconds
Explanation:
The problem itself reduces the interval of time many times, almost reaching zero. However, if we assume the interval constant, then it is clear that in two hours Achilles already has surpassed the Tortoise (20 miles while the Tortoise only 3).
To calculate the time, we use kinematic expression for constant speed:
The moment that Achilles catch the tortoise is found by setting the same final position for both (and same time as well, since both start at the same time):
