Answer:
The speed of the two cars after coupling is 0.46 m/s.
Explanation:
It is given that,
Mass of car 1, m₁ = 15,000 kg
Mass of car 2, m₂ = 50,000 kg
Speed of car 1, u₁ = 2 m/s
Initial speed of car 2, u₂ = 0
Let V is the speed of the two cars after coupling. It is the case of inelastic collision. Applying the conservation of momentum as :


V = 0.46 m/s
So, the speed of the two cars after coupling is 0.46 m/s. Hence, this is the required solution.
Answer:
t=6
Explanation:
Multiply to remove the variable from the denominator.
Answer:An object can be considered a point object if during motion in a given time it covers a distance much greater than its own size.
Explanation:
Answer:
a) 
b) 
c) 
d) 
Explanation:
Given:
mass of the player, 
mass of the ball, 
initial velocity of the player, 
initial velocity of the ball, 
a)
<u>Case:</u> When the player and the ball are moving in the same direction.

where:
total mass after the player catches the ball
v = final velocity of the system


b)
Initial kinetic energy of the system:
![KE_i=\frac{1}{2} [m_p.v_p^2+m_b.v_b^2]](https://tex.z-dn.net/?f=KE_i%3D%5Cfrac%7B1%7D%7B2%7D%20%5Bm_p.v_p%5E2%2Bm_b.v_b%5E2%5D)
![KE_i=\frac{1}{2} [102.5\times 8.5^2+0.47\times 22.5^2]](https://tex.z-dn.net/?f=KE_i%3D%5Cfrac%7B1%7D%7B2%7D%20%5B102.5%5Ctimes%208.5%5E2%2B0.47%5Ctimes%2022.5%5E2%5D)

Final kinetic energy of the system:



∴Change in kinetic energy



c)
<u>Case:</u> When the player and the ball are moving in the opposite direction.



d)
Final kinetic energy in this case:



∴Change in kinetic energy:



Given data
*The mass of Bruce is m_1 = 45 kg
*The initial velocity of the Bruce is u_1 = 2 m/s
*The mass of the biff is m_2 = 90 kg
*The initial velocity of the Biff is u_2 = -7 m/s
*The final velocity of the first glider is v_2 = -1 m/s
According to the law of conservation of linear momentum, the total linear momentum of a system remains constant
Applying the law of conservation of momentum as

Substitute the known values in the above expression as

Hence, the speed of the bruce knock backwards is v_1 = -10 m/s