1.39m/s
Explanation:
Given parameters:
Mass of car M₁ = 1000kg
Velocity V₁ = 2.5m/s
Mass of second car M₂ = 1800kg
Unknown:
Velocity of second car V₂ = ?
Solution:
For the other body to come to rest, the momentum of the colliding cars must be equal and in the opposite direction:
Momentum of car 1 - momentum of car 2 = 0
Momentum of car 1 = Momentum of car 2
M₁V₁ = M₂V₂
The unknown is V₂
1000x2.5 = 1800V₂
V₂ =
= 1.39m/s
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Answer:

- Before solving , You'll have to know - When an object starts from the state of rest , in this case , initial velocity ( u ) = 0
- Notice that we're provided the time ( t ) in minutes. So , first thing we have to do is convert the minutes into seconds. It would be - Time ( t ) = 5 minutes = 5 × 60 sec = 300 sec [ 1 min = 60 sec ]
- Here , We're provided - Initial velocity ( u ) = 0 , Final velocity ( v ) = 60 m / s , Time taken ( t ) = 300 seconds & We're asked to find out the acceleration ( a ) & distance covered by the jeep ( s ) .

- Acceleration is defined as the rate of change of velocity. We know :

- Plug the values & then simplify !

- The acceleration of the jeep is 0.2 m/s²


- Plug the values & then simplify !

- The distance covered by the jeep is 9000 m .
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according to newton's third law, every action has equal and opposite reaction. in this scenario of making a jump from the boat onto a dock, as i jump my feet in contact with the boat push the boat in backward direction. hence the action force is the push by my feet on the boat. the boat reacts by applying a reaction force on my feet pushing the feet in forward direction. hence reaction force here is the force by the boat on the feet. due to the reaction force of the boat on feet, i am pushed in forward direction to reach the the dock.
Option C,
Reason
Kinetic energy is proportional to the square of velocity. Thus the higher the velocity the higher will be the kinetic energy
K.E. dog = 1/2 x 10 x (0.44704 x 30)^2 m/s = 899.14 J
K.E. bullet = 1/2 x 0.02 x (0.44704 x 8000)^2 m/s = 127,878 J
Answer:
The phase angle is 0.0180 rad.
(c) is correct option.
Explanation:
Given that,
Voltage = 12 V
Angular velocity = 50 Hz
Capacitance 
Inductance 
Resistance 
We need to calculate the impedance
Using formula of impedance



We need to calculate the phase angle
Using formula of phase angle



Hence, The phase angle is 0.0180 rad.